BEGIN:VCALENDAR VERSION:2.0 PRODID:-//CERN//INDICO//EN BEGIN:VEVENT SUMMARY:Progress in Symplectic Geometry DTSTART;VALUE=DATE-TIME:20040120T130000Z DTEND;VALUE=DATE-TIME:20040120T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0413@ictp.it DESCRIPTION://indico.ictp.it/event/a0413/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0413/ END:VEVENT BEGIN:VEVENT SUMMARY:Homogenization DTSTART;VALUE=DATE-TIME:20040121T133000Z DTEND;VALUE=DATE-TIME:20040121T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a03403@ictp.it DESCRIPTION:Abstract\nHomogenization is a mathematical modelization of com posite materials\, which gives a meaning to the effective properties of hi ghly heterogeneous materials. It also explains the appearence of a lower o rder term in the heat or diffusion equation in a domain with many small ho les.\n\nThe main mathematical tools involved are the weak convergence\, wh ich allows one to describe the effective behaviour of the various fields w hich appear in partial differential equations\, and the compensated compac tness theory.\n\n//indico.ictp.it/event/a03403/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a03403/ END:VEVENT BEGIN:VEVENT SUMMARY:Critical points at infinity in some noncompact variational problem s DTSTART;VALUE=DATE-TIME:20040204T133000Z DTEND;VALUE=DATE-TIME:20040204T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0425@ictp.it DESCRIPTION://indico.ictp.it/event/a0425/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0425/ END:VEVENT BEGIN:VEVENT SUMMARY:Analytic Inequalities DTSTART;VALUE=DATE-TIME:20040211T133000Z DTEND;VALUE=DATE-TIME:20040211T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0426@ictp.it DESCRIPTION:Abstract: Certain inequalities which are fundamental in the st udy of real analytic functions (Lojasiewicz inequalities) can be interpret ed geometrically. In complex analytic geometry inequalities between modu li of analytic functions correspond to certain algebraic relations. This also gives rise to geometric interpretations of inequalities. The lectu re will present some consequences of this\, and a geometric interpretation of a version of Artin's approximation theorem.\n\n//indico.ictp.it/event/ a0426/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0426/ END:VEVENT BEGIN:VEVENT SUMMARY:Invariant hypersymplectic structures on Lie groups DTSTART;VALUE=DATE-TIME:20040218T133000Z DTEND;VALUE=DATE-TIME:20040218T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0441@ictp.it DESCRIPTION://indico.ictp.it/event/a0441/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0441/ END:VEVENT BEGIN:VEVENT SUMMARY:On linear dynamical systems DTSTART;VALUE=DATE-TIME:20040225T133000Z DTEND;VALUE=DATE-TIME:20040225T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0447@ictp.it DESCRIPTION://indico.ictp.it/event/a0447/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0447/ END:VEVENT BEGIN:VEVENT SUMMARY:Stokes multipliers of the cubic model DTSTART;VALUE=DATE-TIME:20040302T130000Z DTEND;VALUE=DATE-TIME:20040302T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0458@ictp.it DESCRIPTION://indico.ictp.it/event/a0458/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0458/ END:VEVENT BEGIN:VEVENT SUMMARY:On symplectomorphisms of the symplectisation of a compact contact manifold DTSTART;VALUE=DATE-TIME:20040309T130000Z DTEND;VALUE=DATE-TIME:20040309T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0463@ictp.it DESCRIPTION://indico.ictp.it/event/a0463/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0463/ END:VEVENT BEGIN:VEVENT SUMMARY:Compatibility\, microgeometry and materials DTSTART;VALUE=DATE-TIME:20040317T133000Z DTEND;VALUE=DATE-TIME:20040317T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0465@ictp.it DESCRIPTION://indico.ictp.it/event/a0465/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0465/ END:VEVENT BEGIN:VEVENT SUMMARY:Gluing Seiberg-Witten Monopoles: a mathematical approach DTSTART;VALUE=DATE-TIME:20040331T100000Z DTEND;VALUE=DATE-TIME:20040331T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0476@ictp.it DESCRIPTION:After a brief tour of Seiberg-Witten theory\, we will outline a canonical algorithm to paste the solutions of the Seiberg-Witten equatio ns.\n\n//indico.ictp.it/event/a0476/ LOCATION:ICTP Main Building Room 239 URL://indico.ictp.it/event/a0476/ END:VEVENT BEGIN:VEVENT SUMMARY:On von Neumann algebras associated with diagonal quantum Markov st ates DTSTART;VALUE=DATE-TIME:20040406T130000Z DTEND;VALUE=DATE-TIME:20040406T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0477@ictp.it DESCRIPTION://indico.ictp.it/event/a0477/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0477/ END:VEVENT BEGIN:VEVENT SUMMARY:On convergence of eigenfunction expansions of Schroedinger operato rs with singular potentials DTSTART;VALUE=DATE-TIME:20040413T130000Z DTEND;VALUE=DATE-TIME:20040413T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0484@ictp.it DESCRIPTION://indico.ictp.it/event/a0484/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0484/ END:VEVENT BEGIN:VEVENT SUMMARY:Additive theory of numbers DTSTART;VALUE=DATE-TIME:20040419T140000Z DTEND;VALUE=DATE-TIME:20040419T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0488@ictp.it DESCRIPTION:Abstract: Additive number theory studies the connection betwee n a family of integral sequences and their sum\, i.e. the set of those int egers which can be represented as sums of elements from the given family o f sequences. \nIn "direct problems"\, the initial sequences are known and the question is to get some knowledge on their sum\n Due to their history\ , "special direct problems" are the best known\, for example\, Goldbach's problem (1742)\, not yet solved (worth one million dollars)\, stating that every even integer larger than 2 is a sum of 2 primes\, or Waring's probl em (1770)\, stating that every positive integer is a sum of four squares ( indeed solved during that same year 1770 by Lagrange)\, of nine cubes (sol ved in 1909-1912 by Wieferich and Kemperman)\, of nineteen fourth powers ( solved in 1985 by Balasubramanian\, Deshouillers and Dress).\n L. Shnirel' man introduced "general direct problems" in 1930 when he showed that if a sequence is sufficiently rich (if it has a positive density)\, then every integer is a sum of a bounded number of elements from this set. By this a pproach\, joined to a "sieve" argument\, he gave a partial answer to Goldb ach's problem and showed that every integer can be expressed as a sum of a (uniformly) bounded number of primes.\n The works of Freiman and Kneser\, in the 1950's\, opened the road to "inverse problems"\, where one tries a nd get some knowledge on the summands from a knowledge on their sum (an ea sy and basic example is the fact that if a finite set of integer with $k$ elements is doubled and leads to a sum-set with $2k-1$ elements\, then the initial set is an arithmetic progression [as one easily checks\, the conv erse statement is obvious]).\n This colloquium talk\, for which no special knowledge is required\, is a guided tour through additive number theory\, its result\, its method and its applications.\n\n//indico.ictp.it/event/a 0488/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0488/ END:VEVENT BEGIN:VEVENT SUMMARY:Stochastic processes with values in a Riemannian admissible comple x: Isotropic motion\, Wiener measure and Brownian motion DTSTART;VALUE=DATE-TIME:20040421T133000Z DTEND;VALUE=DATE-TIME:20040421T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0491@ictp.it DESCRIPTION://indico.ictp.it/event/a0491/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0491/ END:VEVENT BEGIN:VEVENT SUMMARY:Unimodular Hermitian Lattices DTSTART;VALUE=DATE-TIME:20040427T130000Z DTEND;VALUE=DATE-TIME:20040427T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0498@ictp.it DESCRIPTION://indico.ictp.it/event/a0498/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0498/ END:VEVENT BEGIN:VEVENT SUMMARY:Catastrophe Theory and Topology DTSTART;VALUE=DATE-TIME:20040428T140000Z DTEND;VALUE=DATE-TIME:20040428T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04102@ictp.it DESCRIPTION://indico.ictp.it/event/a04102/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04102/ END:VEVENT BEGIN:VEVENT SUMMARY:Some extensions of Miyaoka's semistability criterion DTSTART;VALUE=DATE-TIME:20040512T133000Z DTEND;VALUE=DATE-TIME:20040512T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04107@ictp.it DESCRIPTION://indico.ictp.it/event/a04107/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04107/ END:VEVENT BEGIN:VEVENT SUMMARY:Quiver approaches to Hopf algebras DTSTART;VALUE=DATE-TIME:20040518T130000Z DTEND;VALUE=DATE-TIME:20040518T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04113@ictp.it DESCRIPTION:Abstract: A quiver is an oriented graph consisting of vertices and arrows. One can construct the path algebras and their quotients of t he quivers. This provides finite dimensional elementary algebras in an e xhaustive way\, due to a well-known theorem of Gabriel. There is a dual a nalogue for coalgebras given by Chin and Montgomery. A Hopf algebra is si multaneously an algebra and a coalgebra in a compatible way. It is natura l to construct Hopf algebras via quivers. We give a survey on this direct ion and propose to classify finite dimensional pointed (resp. elementary) Hopf algebras via quivers.\n\n//indico.ictp.it/event/a04113/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04113/ END:VEVENT BEGIN:VEVENT SUMMARY:Gorenstein dimensions DTSTART;VALUE=DATE-TIME:20040519T133000Z DTEND;VALUE=DATE-TIME:20040519T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04112@ictp.it DESCRIPTION:Abstract: Gorenstein dimensions are relative homological dimen sions which can be considered as \\"refinements\\" of classical homologica l dimensions. In this talk\, we will review the fundamental definitions a nd results of the theory of the Gorenstein dimensions over commutative noe therian rings and will also state some recently proved results.\n\n//indic o.ictp.it/event/a04112/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04112/ END:VEVENT BEGIN:VEVENT SUMMARY:Congruences of lines and applications DTSTART;VALUE=DATE-TIME:20040525T130000Z DTEND;VALUE=DATE-TIME:20040525T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04126@ictp.it DESCRIPTION:Abstract: Recently\, S.Agafonov and E.Ferapontov have introduc ed a construction that allows to associate naturally to every system of pa rtial differential equations of conservation laws a congruence of lines in an appropriate projective space. In particular to hyperbolic systems of Temple type\, there correspond congruences of lines that place in pencils of lines. The language of Algebraic Geometry turns out to be very natural in the study of these systems. In the talk\, after recalling the defini tion and the basic facts on congruences of lines\, I will illustrate the A gafonov-Ferapontov construction and some results of classification for the Temple systems.\n\n//indico.ictp.it/event/a04126/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04126/ END:VEVENT BEGIN:VEVENT SUMMARY:STABILITY OF SUBVARIETIES OF A PROJECTIVE SPACE DTSTART;VALUE=DATE-TIME:20040528T103000Z DTEND;VALUE=DATE-TIME:20040528T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04127@ictp.it DESCRIPTION:This series of lectures will be concerned with criteria to det ermine when the Hilbert/Chow point corresponding to a subvariety of projec tive space is semistable in the sense of Geometric Invariant Theory.\n\n// indico.ictp.it/event/a04127/ LOCATION:ICTP Main Building Room 239 URL://indico.ictp.it/event/a04127/ END:VEVENT BEGIN:VEVENT SUMMARY:Stability of Subvarieties of a Projective Space - II. DTSTART;VALUE=DATE-TIME:20040601T133000Z DTEND;VALUE=DATE-TIME:20040601T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04137@ictp.it DESCRIPTION:This series of lectures is concerned with criteria to determin e when the Hilbert/Chow point corresponding to a subvariety of projective space is semistable in the sense of Geometric Invariant Theory.\n\n//indic o.ictp.it/event/a04137/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04137/ END:VEVENT BEGIN:VEVENT SUMMARY:STABILITY OF SUBVARIETIES OF A PROJECTIVE SPACE - III DTSTART;VALUE=DATE-TIME:20040603T141500Z DTEND;VALUE=DATE-TIME:20040603T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04139@ictp.it DESCRIPTION:This series of lectures is concerned with criteria to determin e when the Hilbert/Chow point corresponding to a subvariety of projective space is semistable in the sense of Geometric Invariant Theory.\n\n//indic o.ictp.it/event/a04139/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04139/ END:VEVENT BEGIN:VEVENT SUMMARY:The fundamental group-scheme DTSTART;VALUE=DATE-TIME:20040604T100000Z DTEND;VALUE=DATE-TIME:20040604T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04138@ictp.it DESCRIPTION://indico.ictp.it/event/a04138/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04138/ END:VEVENT BEGIN:VEVENT SUMMARY:STABILITY OF SUBVARIETIES OF A PROJECTIVE SPACE - IV DTSTART;VALUE=DATE-TIME:20040610T140000Z DTEND;VALUE=DATE-TIME:20040610T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04140@ictp.it DESCRIPTION:This series of lectures is concerned with criteria to determin e when the Hilbert/Chow point corresponding to a subvariety of projective space is semistable in the sense of Geometric Invariant Theory.\n\n//indic o.ictp.it/event/a04140/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04140/ END:VEVENT BEGIN:VEVENT SUMMARY:STABILITY OF SUBVARIETIES OF A PROJECTIVE SPACE - V DTSTART;VALUE=DATE-TIME:20040615T133000Z DTEND;VALUE=DATE-TIME:20040615T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04162@ictp.it DESCRIPTION:This series of lectures is concerned with criteria to determin e when the Hilbert/Chow point corresponding to a subvariety of projective space is semistable in the sense of Geometric Invariant Theory.\n\n//indic o.ictp.it/event/a04162/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04162/ END:VEVENT BEGIN:VEVENT SUMMARY:On the Obstacle like problems DTSTART;VALUE=DATE-TIME:20040616T133000Z DTEND;VALUE=DATE-TIME:20040616T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04165@ictp.it DESCRIPTION://indico.ictp.it/event/a04165/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04165/ END:VEVENT BEGIN:VEVENT SUMMARY:STABILITY OF SUBVARIETIES OF A PROJECTIVE SPACE - VI - On differen tial geometric aspects. DTSTART;VALUE=DATE-TIME:20040617T141500Z DTEND;VALUE=DATE-TIME:20040617T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04163@ictp.it DESCRIPTION:This series of lectures is concerned with criteria to determin e when the Hilbert/Chow point corresponding to a subvariety of projective space is semistable in the sense of Geometric Invariant Theory.\n\n//indic o.ictp.it/event/a04163/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04163/ END:VEVENT BEGIN:VEVENT SUMMARY:STABILITY OF SUBVARIETIES OF A PROJECTIVE SPACE - VII DTSTART;VALUE=DATE-TIME:20040623T133000Z DTEND;VALUE=DATE-TIME:20040623T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04169@ictp.it DESCRIPTION:This series of lectures is concerned with criteria to determin e when the Hilbert/Chow point corresponding to a subvariety of projective space is semistable in the sense of Geometric Invariant Theory.\n\n//indic o.ictp.it/event/a04169/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04169/ END:VEVENT BEGIN:VEVENT SUMMARY:Resolutions for Equivariant Sheaves over Toric Varieties DTSTART;VALUE=DATE-TIME:20040629T140000Z DTEND;VALUE=DATE-TIME:20040629T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04171@ictp.it DESCRIPTION://indico.ictp.it/event/a04171/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04171/ END:VEVENT BEGIN:VEVENT SUMMARY:Brill-Noether Theory and coherent systems DTSTART;VALUE=DATE-TIME:20040706T133000Z DTEND;VALUE=DATE-TIME:20040706T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04238@ictp.it DESCRIPTION://indico.ictp.it/event/a04238/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04238/ END:VEVENT BEGIN:VEVENT SUMMARY:The gonality conjecture of Green-Lazarsfeld for generic curves DTSTART;VALUE=DATE-TIME:20040720T133000Z DTEND;VALUE=DATE-TIME:20040720T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04243@ictp.it DESCRIPTION://indico.ictp.it/event/a04243/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04243/ END:VEVENT BEGIN:VEVENT SUMMARY:Sections of projective modules and a question of Nori DTSTART;VALUE=DATE-TIME:20040727T133000Z DTEND;VALUE=DATE-TIME:20040727T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04247@ictp.it DESCRIPTION://indico.ictp.it/event/a04247/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04247/ END:VEVENT BEGIN:VEVENT SUMMARY:Mean curvature flow of surfaces in 4-manifolds DTSTART;VALUE=DATE-TIME:20040728T133000Z DTEND;VALUE=DATE-TIME:20040728T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04248@ictp.it DESCRIPTION://indico.ictp.it/event/a04248/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04248/ END:VEVENT BEGIN:VEVENT SUMMARY:On norm principle in algebraic groups DTSTART;VALUE=DATE-TIME:20040804T133000Z DTEND;VALUE=DATE-TIME:20040804T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04293@ictp.it DESCRIPTION:On norm principle in algebraic groups\n\n//indico.ictp.it/even t/a04293/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04293/ END:VEVENT BEGIN:VEVENT SUMMARY:Sieve methods in probabilistic number theory DTSTART;VALUE=DATE-TIME:20040806T133000Z DTEND;VALUE=DATE-TIME:20040806T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04250@ictp.it DESCRIPTION:ABSTRACT: In 1917 Hardy and Ramanujan made the fundamental obs ervation that almost all integers n have about log(log n) prime factors. Subsequently\, utilising both the Central Limit Theorem and Brun's sieve\, Paul Erdos and Mark Kac proved a far reaching extension of of the Hardy-R amanujan theorem. Thus Probabilistic Number Theory was born\, and it cont inues to be an active area of research today. In this talk I will show th at by means of a mutiplicative generalisation of the sieve\, the distribut ion of additive functions in subsets of the positive integers can be under stood. In our approach there is no dependence on the Central Limit Theore m. Also\, we use the bilateral Laplace transform (moment generating funct ion) instead of the Fourier transform (characteristic function) that was traditionally used. The talk will be accessible to non-experts.\n\n//indi co.ictp.it/event/a04250/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04250/ END:VEVENT BEGIN:VEVENT SUMMARY:Algebraic K-theory and Reciprocity Laws DTSTART;VALUE=DATE-TIME:20040812T140000Z DTEND;VALUE=DATE-TIME:20040812T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04304@ictp.it DESCRIPTION:Abstract:\n\nReciprocity theorems relate statements of the for m "p is an n-adic residue of q" with reciprocal statements of the form "q is an n-adic residue of p." There is an algebraic K-theory anologue of th e reciprocity law\, which can be seen as a generalization of reciprocity i n higher dimension. In this talk I will explain the results by Banaszak a nd Kahn on this topic and propose a different approach for real number fie lds at prime 2.\n\n//indico.ictp.it/event/a04304/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04304/ END:VEVENT BEGIN:VEVENT SUMMARY:Gromov-Witten invariants and symplectic capacities DTSTART;VALUE=DATE-TIME:20040901T133000Z DTEND;VALUE=DATE-TIME:20040901T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04312@ictp.it DESCRIPTION://indico.ictp.it/event/a04312/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04312/ END:VEVENT BEGIN:VEVENT SUMMARY:From affine manifolds to symplectic manifolds DTSTART;VALUE=DATE-TIME:20040908T133000Z DTEND;VALUE=DATE-TIME:20040908T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04314@ictp.it DESCRIPTION://indico.ictp.it/event/a04314/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04314/ END:VEVENT BEGIN:VEVENT SUMMARY:Deformations of foliations of S^5 by complex surfaces DTSTART;VALUE=DATE-TIME:20040913T140000Z DTEND;VALUE=DATE-TIME:20040913T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04321@ictp.it DESCRIPTION://indico.ictp.it/event/a04321/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04321/ END:VEVENT BEGIN:VEVENT SUMMARY:Workshop on Flat and Frobenius Structures\n11 - 15 October 2004 DTSTART;VALUE=DATE-TIME:20041011T083000Z DTEND;VALUE=DATE-TIME:20041015T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04337@ictp.it DESCRIPTION:Lecturers:\nBoris Dubrovin (SISSA)\nClaus Hertling (Universit ät Mannheim\, Germany)\nClaude Sabbah (Ecole Polytechnique\, Palaiseau\, France)\nKyoji Saito (Kyoto University\, Japan)\nAtsushi Takahashi (Kyoto University\, Japan)\n\n\nThere will be 2 lectures per day\, the first of w hich will be on Monday\, 11 and Tuesday\, 12 October at 09.30 and 15.00 hr s.\n\n//indico.ictp.it/event/a04337/ LOCATION:ICTP Adriatico Guest House Kastler Lecture Hall URL://indico.ictp.it/event/a04337/ END:VEVENT BEGIN:VEVENT SUMMARY:Existence of conformal metrics with constant $Q$ curvature DTSTART;VALUE=DATE-TIME:20041026T130000Z DTEND;VALUE=DATE-TIME:20041026T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a04360@ictp.it DESCRIPTION:Abstract\n\nGiven a compact four dimensional manifold\, we pro ve existence of conformal metrics with constant $Q$-curvature under generi c assumptions. The problem amounts to solving a fourth-order nonlinear el liptic equation with variational structure. Since the corresponding Euler functional is in general unbounded from above and from below\, we employ topological methods and minimax schemes\, jointly with a compactness resul t for Palais-Smale sequences.\n\n//indico.ictp.it/event/a04360/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a04360/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium in Mathematics - Volumes and integral points in polytopes DTSTART;VALUE=DATE-TIME:20050209T133000Z DTEND;VALUE=DATE-TIME:20050209T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0517@ictp.it DESCRIPTION://indico.ictp.it/event/a0517/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0517/ END:VEVENT BEGIN:VEVENT SUMMARY:Evolution of Minimal Torus in Riemannian Manifolds DTSTART;VALUE=DATE-TIME:20060208T133000Z DTEND;VALUE=DATE-TIME:20060208T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0612@ictp.it DESCRIPTION://indico.ictp.it/event/a0612/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0612/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY - Metric questions in Singularity Theory and in Real Algebraic Geometry DTSTART;VALUE=DATE-TIME:20060214T130000Z DTEND;VALUE=DATE-TIME:20060214T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0622@ictp.it DESCRIPTION://indico.ictp.it/event/a0622/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0622/ END:VEVENT BEGIN:VEVENT SUMMARY:Quivers and Hopf algebras DTSTART;VALUE=DATE-TIME:20060216T140000Z DTEND;VALUE=DATE-TIME:20060216T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0623@ictp.it DESCRIPTION:Abstract: The algebraic structure of Hopf algebras is a unific ation of the two classical algebraic structures\, namely groups and Lie al gebras. I investigate Hopf algebras via combinatorics. I report some recen t progress on the classification and representation theory of finite dimen sional pointed (or\, dually basic) Hopf algebras which are analogous to gr oups and Lie algebras most.\n\n//indico.ictp.it/event/a0623/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0623/ END:VEVENT BEGIN:VEVENT SUMMARY:Hodge theory and topology of algebraic maps DTSTART;VALUE=DATE-TIME:20060221T130000Z DTEND;VALUE=DATE-TIME:20060221T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0624@ictp.it DESCRIPTION://indico.ictp.it/event/a0624/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0624/ END:VEVENT BEGIN:VEVENT SUMMARY:Hodge theory and topology of algebraic maps (continued) DTSTART;VALUE=DATE-TIME:20060223T140000Z DTEND;VALUE=DATE-TIME:20060223T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0636@ictp.it DESCRIPTION://indico.ictp.it/event/a0636/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0636/ END:VEVENT BEGIN:VEVENT SUMMARY:The springer fiber in the flag manifold DTSTART;VALUE=DATE-TIME:20060228T130000Z DTEND;VALUE=DATE-TIME:20060228T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0635@ictp.it DESCRIPTION://indico.ictp.it/event/a0635/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0635/ END:VEVENT BEGIN:VEVENT SUMMARY:Semisimplicity of the category of relative Hopf modules DTSTART;VALUE=DATE-TIME:20060307T130000Z DTEND;VALUE=DATE-TIME:20060307T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0640@ictp.it DESCRIPTION:Let k be a field\, H a Hopf algebra with a bijective antipode\ , A an associative algebra with identity on which H coacts in such a way t hat A is a right H-comodule algebra. We will give sufficient conditions fo r the category of relative (A \, H)-Hopf modules to be semisimple\; i.e.\, \ncompletely reducible. We recover a result of Ida Doraiswamy on semisimpl icity of the category of rational (A\, G)-modules\, where G is a linear co nnected algebraic group acting rationally on a finitely generated commutat ive algebra A.\n\n//indico.ictp.it/event/a0640/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0640/ END:VEVENT BEGIN:VEVENT SUMMARY:Singularity of heat flows (Part I)\n(Series of Informal Geometric Analysis Seminars) DTSTART;VALUE=DATE-TIME:20060310T133000Z DTEND;VALUE=DATE-TIME:20060310T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0650@ictp.it DESCRIPTION://indico.ictp.it/event/a0650/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0650/ END:VEVENT BEGIN:VEVENT SUMMARY:Focal Decompositions of Peixeto and some related problems in combi natorics and in Number Theory DTSTART;VALUE=DATE-TIME:20060314T130000Z DTEND;VALUE=DATE-TIME:20060314T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0651@ictp.it DESCRIPTION://indico.ictp.it/event/a0651/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0651/ END:VEVENT BEGIN:VEVENT SUMMARY:Noncommutative Algebraic Geometry DTSTART;VALUE=DATE-TIME:20060316T140000Z DTEND;VALUE=DATE-TIME:20060316T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0652@ictp.it DESCRIPTION://indico.ictp.it/event/a0652/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0652/ END:VEVENT BEGIN:VEVENT SUMMARY:Singularity of heat flows (Part II)\n(Series of Informal Geometric Analysis Seminars) DTSTART;VALUE=DATE-TIME:20060317T133000Z DTEND;VALUE=DATE-TIME:20060317T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0659@ictp.it DESCRIPTION://indico.ictp.it/event/a0659/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0659/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium in Mathematics - Integral points on al gebraic varieties: a survey of old and more recent results. DTSTART;VALUE=DATE-TIME:20060321T130000Z DTEND;VALUE=DATE-TIME:20060321T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0639@ictp.it DESCRIPTION:We shall survey the diophantine problem of integral points on algebraic varieties. After recalling a number of classical results and me thods\, we shall present some new ones\, obtained in joint work with P. Co rvaja and further developed by A. Levin. Some of these results concern es pecially nonsingular surfaces\, while others arise from diophantine equati ons with linear recurrences. We shall also outline the main principles of some of the proofs.\n\n//indico.ictp.it/event/a0639/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0639/ END:VEVENT BEGIN:VEVENT SUMMARY:Singularity of heat flows (Part III)\n\n(Series of Informal Geomet ric Analysis Seminars) DTSTART;VALUE=DATE-TIME:20060324T133000Z DTEND;VALUE=DATE-TIME:20060324T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0661@ictp.it DESCRIPTION://indico.ictp.it/event/a0661/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0661/ END:VEVENT BEGIN:VEVENT SUMMARY:Singularity of Heat Flows (Part IV)\n\n(Series of Informal Geometr ic Analysis Seminars) DTSTART;VALUE=DATE-TIME:20060331T133000Z DTEND;VALUE=DATE-TIME:20060331T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0676@ictp.it DESCRIPTION://indico.ictp.it/event/a0676/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0676/ END:VEVENT BEGIN:VEVENT SUMMARY:Statistics of topological structures of smooth functions\, of poly nomials\, of trigonometric polynomials\, of affine Coxeter groups and the Sixteenth Problem of Hilbert. (Lecture 1)\n\nSeries of Lectures in "Exper imental Discoveries of Mathematical Facts" DTSTART;VALUE=DATE-TIME:20060405T133000Z DTEND;VALUE=DATE-TIME:20060405T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0662@ictp.it DESCRIPTION:Abstract:\n\nOne associates to a smooth function a graph\, def ined as the topological space whose points are the connected components o f the level hypersurfaces of the function. The talk describes the structu res of these graphs for the Morse functions with a fixed number of critica l points and for the polynomials and trigonometric polynomials of given de gree or a given spectrum (provided\, for instance\, by the Newton polyhedr on of that trigonometric polynomial for an affine system of roots).\n\n// indico.ictp.it/event/a0662/ LOCATION:ICTP Main Building Main Lecture Hall URL://indico.ictp.it/event/a0662/ END:VEVENT BEGIN:VEVENT SUMMARY:Singularity of heat flows (Part V)\n(Series of Informal Geometric Analysis Seminars) DTSTART;VALUE=DATE-TIME:20060407T133000Z DTEND;VALUE=DATE-TIME:20060407T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0680@ictp.it DESCRIPTION://indico.ictp.it/event/a0680/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0680/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium in Mathematics - Complexity of Finite Sequences - (as part of the Series of Lectures "Experimental Discoveries o f Mathematical Facts") DTSTART;VALUE=DATE-TIME:20060411T130000Z DTEND;VALUE=DATE-TIME:20060411T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0666@ictp.it DESCRIPTION:Everyone understands that the sequence 001001001001 (of 12\nbi nary numbers) is less complicated than the sequence 010010111001. The tal k provides an exact mathematical meaning to this complexity notion in ter ms of the graphs of mappings of finite sets to themselves\, leading to a h ierarchy of the elements of a finite ring of functions and of its subring of polynomials. Experiments suggest that the most complicated function i s the logarithm. The ring of polynomials forms a binary tree with 2^2^k v ertices (=2\,4\,256\, ...).\n\n//indico.ictp.it/event/a0666/ LOCATION:ICTP Main Building Main Lecture Hall URL://indico.ictp.it/event/a0666/ END:VEVENT BEGIN:VEVENT SUMMARY:Random permutations and Young diagrams of Fibonacci automorphisms of tori. (Lecture 2) Series of Lectures in "Experimental Discoveries of Ma thematical Facts" DTSTART;VALUE=DATE-TIME:20060420T140000Z DTEND;VALUE=DATE-TIME:20060420T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0667@ictp.it DESCRIPTION:A permutation of the elements of a finite set defines the\npar tition n = x_1 + x_2 +...+ x_y of the number n of the elements of the s et into the lengths of the y cycles of the permutation\, and hence it defi nes the Young diagram (x_1 >= x_2 >= ... >= x_s).\nThe talk describes the averaged statistics of the parameters of these diagrams for the n! permuta tions of the set and for the action of the so called "Arnold's cat map" (t hat I call Fibonacci operator)\, defined by the matrix\n\n 2 1\n 1 1 \, \n\non the finite torus Z_m x Z_m \, consisting of n = m^2 points.\nThe p arameters of the Young diagram are: length x = x_1\, width y\, fullness la mbda = n/(xy).\n\n//indico.ictp.it/event/a0667/ LOCATION:ICTP Main Building Main Lecture Hall URL://indico.ictp.it/event/a0667/ END:VEVENT BEGIN:VEVENT SUMMARY:Singularity of heat flows (Part VI)\n(Series of Informal Geometric Analysis Seminars) DTSTART;VALUE=DATE-TIME:20060421T133000Z DTEND;VALUE=DATE-TIME:20060421T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0692@ictp.it DESCRIPTION://indico.ictp.it/event/a0692/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0692/ END:VEVENT BEGIN:VEVENT SUMMARY:Frobenius numbers\, geometry and statistics of additive semigroups of integers. (Lecture 3) Series of Lectures in "Experimental Discoveries in Mathematical Facts" DTSTART;VALUE=DATE-TIME:20060426T133000Z DTEND;VALUE=DATE-TIME:20060426T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0668@ictp.it DESCRIPTION:The Frobenius number N(a_1\, ...\, a_n)\, where the a_i are na tural numbers (with no common divisor greater than 1) is the minimal integ er\, such that itself and all greater integers are representable as linear combinations x_1 a_1 + ... + x_n a_n with nonnegative integral coefficien ts x_i .\nFor instance\, N(a\,b)=(a-1)(b-1). But for n > 2 there is no e xplicit formula for N\, and even its growth rate for growing\na=(a_1\, ... \, a_n) is unknown. The talk proves that it grows at least as sigma^(1+(1/ n-1)) and at most like (sigma)^2\, where sigma = a_1 + ... + a_n.\n\nBot h boundary cases are attained for some directions of the vector a\, but th e growth rate depends peculiarly on this direction. The average growth ra te has been studied experimentally and the talk will present the empirical mean values ( for sigma = 7\, 19\, 41\, 97 and 199). The observed rate is (sigma)^P with p ~ 2 at the beginning\, declining to p ~ 1\,6 for sigm a between 100 and 200. This confirms the author's conjecture of 1999 tha t p tends to 1+1/(n-1) = 3/2 for large sigma.\n\n//indico.ictp.it/event/ a0668/ LOCATION:ICTP Main Building Main Lecture Hall URL://indico.ictp.it/event/a0668/ END:VEVENT BEGIN:VEVENT SUMMARY:Schubert Varieties - Classical and Affine DTSTART;VALUE=DATE-TIME:20060427T140000Z DTEND;VALUE=DATE-TIME:20060427T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0695@ictp.it DESCRIPTION://indico.ictp.it/event/a0695/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0695/ END:VEVENT BEGIN:VEVENT SUMMARY:Singularity of heat flows (Part VII) (Series of informal Geometric Analysis Seminars) DTSTART;VALUE=DATE-TIME:20060428T133000Z DTEND;VALUE=DATE-TIME:20060428T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0696@ictp.it DESCRIPTION://indico.ictp.it/event/a0696/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0696/ END:VEVENT BEGIN:VEVENT SUMMARY:Hyperplane arrangements and the Lefschetz theorem on hyperplane se ctions DTSTART;VALUE=DATE-TIME:20060523T130000Z DTEND;VALUE=DATE-TIME:20060523T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06120@ictp.it DESCRIPTION://indico.ictp.it/event/a06120/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06120/ END:VEVENT BEGIN:VEVENT SUMMARY:Noether symmetries of critical nonlinear differential equations.\n DTSTART;VALUE=DATE-TIME:20060524T133000Z DTEND;VALUE=DATE-TIME:20060524T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06119@ictp.it DESCRIPTION:The purpose of this talk is to discuss a common property of c ertain classes of quasilinear and semilinear differential equations\, name ly: "a Lie point symmetry of the considered equation is a Noether symmetry if and only if the equation parameters assume critical values".\nBy "Noet her symmetry" we mean a variational or a divergence symmetry. As it is wel l known\, the so-called critical exponent is found as the critical power f or embedding theorems. It is also related to some numbers dividing the exi stence and nonexistence cases for the solutions of differential equations\ , in particular of semilinear differential equations involving the Laplace operator. We shall consider the Sobolev case and the Pohozhaev-Trudinger case for some second order ODE: the general class studied by Clement-de Fi gueiredo-Mitidieri\, involving the radial forms of PDEs containing the Lap lace\, p-Laplace and k-Hessian opertors\, the Lane-Emden equation\, the Em den-Fowler equation\, the Boltzmann equation\; the Lane-Emden system\, and PDE: the semilinear polyharmonic equation in R^n and the Kohn-Laplace eq uation on the Heisenberg group H^1.\nSince the Noether symmetry allows to reduce by 2 the integration procedure of an ODE one can find explicitly th e solutions corresponding to the Sobolev and Pohozhaev-Trudinger cases. Re garding PDE\, we find via the Noether Theorem conservation laws for the cr itical equations.\n\n//indico.ictp.it/event/a06119/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06119/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium in Mathematics - The Hodge Conjecture DTSTART;VALUE=DATE-TIME:20060531T133000Z DTEND;VALUE=DATE-TIME:20060531T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06114@ictp.it DESCRIPTION:This Conjecture establishes a subtle bridge between algebraic and differential geometries\, analysis and topology\, hence its status as one of the seven Millennium Problems. This will be an introductory talk ma inly for non-experts\, where the Conjecture will be presented as a form of Stokes Theorem for special fields. Recent support for its validity will a lso be included.\n\n//indico.ictp.it/event/a06114/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06114/ END:VEVENT BEGIN:VEVENT SUMMARY:Structure and Representations of Two-parameter Quantum Groups DTSTART;VALUE=DATE-TIME:20060608T140000Z DTEND;VALUE=DATE-TIME:20060608T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06123@ictp.it DESCRIPTION://indico.ictp.it/event/a06123/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06123/ END:VEVENT BEGIN:VEVENT SUMMARY:Digital Planarity DTSTART;VALUE=DATE-TIME:20060613T130000Z DTEND;VALUE=DATE-TIME:20060613T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06130@ictp.it DESCRIPTION://indico.ictp.it/event/a06130/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06130/ END:VEVENT BEGIN:VEVENT SUMMARY:Modified Airy Function Solutions for Optical Wave Guide Problems DTSTART;VALUE=DATE-TIME:20060704T130000Z DTEND;VALUE=DATE-TIME:20060704T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06135@ictp.it DESCRIPTION://indico.ictp.it/event/a06135/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06135/ END:VEVENT BEGIN:VEVENT SUMMARY:On fusion rings associated to Wess-Zumino-Witten Models DTSTART;VALUE=DATE-TIME:20060706T140000Z DTEND;VALUE=DATE-TIME:20060706T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06136@ictp.it DESCRIPTION://indico.ictp.it/event/a06136/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06136/ END:VEVENT BEGIN:VEVENT SUMMARY:Lusternik-Schnirelmann category DTSTART;VALUE=DATE-TIME:20060711T130000Z DTEND;VALUE=DATE-TIME:20060711T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06147@ictp.it DESCRIPTION://indico.ictp.it/event/a06147/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06147/ END:VEVENT BEGIN:VEVENT SUMMARY:Hasse principle for classical groups DTSTART;VALUE=DATE-TIME:20060713T140000Z DTEND;VALUE=DATE-TIME:20060713T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06148@ictp.it DESCRIPTION:Abstract:\nI will discuss the notion of Hasse principle for al gebraic groups starting from the well-known results for quadratic forms ov er number fields.\n\n//indico.ictp.it/event/a06148/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06148/ END:VEVENT BEGIN:VEVENT SUMMARY:Concentration on minimal submanifolds for a singularly perturbed N eumann problem (joint work with Professor Andrea Malchiodi) DTSTART;VALUE=DATE-TIME:20060718T130000Z DTEND;VALUE=DATE-TIME:20060718T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06231@ictp.it DESCRIPTION://indico.ictp.it/event/a06231/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06231/ END:VEVENT BEGIN:VEVENT SUMMARY:Linear and non-linear representations of the braid group DTSTART;VALUE=DATE-TIME:20060719T133000Z DTEND;VALUE=DATE-TIME:20060719T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06232@ictp.it DESCRIPTION://indico.ictp.it/event/a06232/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06232/ END:VEVENT BEGIN:VEVENT SUMMARY:Noncommutative deformations of the complex projective plane DTSTART;VALUE=DATE-TIME:20060724T140000Z DTEND;VALUE=DATE-TIME:20060724T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06235@ictp.it DESCRIPTION://indico.ictp.it/event/a06235/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06235/ END:VEVENT BEGIN:VEVENT SUMMARY:A geometric proof that the singular braid group is torsion free DTSTART;VALUE=DATE-TIME:20060727T140000Z DTEND;VALUE=DATE-TIME:20060727T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06236@ictp.it DESCRIPTION://indico.ictp.it/event/a06236/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06236/ END:VEVENT BEGIN:VEVENT SUMMARY:General aspects of the inverse problems and their application to e lectrical capacitance tomography DTSTART;VALUE=DATE-TIME:20060731T140000Z DTEND;VALUE=DATE-TIME:20060731T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06244@ictp.it DESCRIPTION://indico.ictp.it/event/a06244/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06244/ END:VEVENT BEGIN:VEVENT SUMMARY:Deformations of bihamiltonian structures of hydrodynamic type DTSTART;VALUE=DATE-TIME:20060801T130000Z DTEND;VALUE=DATE-TIME:20060801T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06243@ictp.it DESCRIPTION://indico.ictp.it/event/a06243/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06243/ END:VEVENT BEGIN:VEVENT SUMMARY:Local cohomology and integral closure DTSTART;VALUE=DATE-TIME:20060817T140000Z DTEND;VALUE=DATE-TIME:20060817T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06245@ictp.it DESCRIPTION://indico.ictp.it/event/a06245/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06245/ END:VEVENT BEGIN:VEVENT SUMMARY:Matched pairs approach to set theoretic solutions of the Yang-Baxt er equation DTSTART;VALUE=DATE-TIME:20060822T130000Z DTEND;VALUE=DATE-TIME:20060822T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06248@ictp.it DESCRIPTION://indico.ictp.it/event/a06248/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06248/ END:VEVENT BEGIN:VEVENT SUMMARY:A remark on the Monomial conjecture \nand Cohen-Macaulay canonical modules. DTSTART;VALUE=DATE-TIME:20060824T140000Z DTEND;VALUE=DATE-TIME:20060824T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06251@ictp.it DESCRIPTION://indico.ictp.it/event/a06251/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06251/ END:VEVENT BEGIN:VEVENT SUMMARY:On polynomial solutions of certain \ndivided-difference equations DTSTART;VALUE=DATE-TIME:20060831T140000Z DTEND;VALUE=DATE-TIME:20060831T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06253@ictp.it DESCRIPTION:We study the properties of some divided-difference operators s uch as the one of Askey-Wilson\, and deduce a method to find polynomial so lutions of certain linear homogeneous divided-difference equations on nonu niform lattices with polynomial coefficients. As Application\, we show how this method can be implemented to improve the capabilities the difference equations solver routines implemented in the computer algebra systems suc h as Maple and Mathematica.\n\n//indico.ictp.it/event/a06253/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06253/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium in Mathematics\n\n"Higgs pairs and the fundamental group" DTSTART;VALUE=DATE-TIME:20060913T133000Z DTEND;VALUE=DATE-TIME:20060913T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06263@ictp.it DESCRIPTION://indico.ictp.it/event/a06263/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06263/ END:VEVENT BEGIN:VEVENT SUMMARY:Decompositions in/of Banach Spaces DTSTART;VALUE=DATE-TIME:20060919T130000Z DTEND;VALUE=DATE-TIME:20060919T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06276@ictp.it DESCRIPTION://indico.ictp.it/event/a06276/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06276/ END:VEVENT BEGIN:VEVENT SUMMARY:Entropy solutions of nonlinear elliptic-parabolic-hyperbolic degen erate problems in one dimension DTSTART;VALUE=DATE-TIME:20060921T140000Z DTEND;VALUE=DATE-TIME:20060921T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06279@ictp.it DESCRIPTION://indico.ictp.it/event/a06279/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06279/ END:VEVENT BEGIN:VEVENT SUMMARY:On irreducibility of polynomials DTSTART;VALUE=DATE-TIME:20060926T130000Z DTEND;VALUE=DATE-TIME:20060926T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06283@ictp.it DESCRIPTION://indico.ictp.it/event/a06283/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06283/ END:VEVENT BEGIN:VEVENT SUMMARY:Motivic cellularity according to Nori and Beilinson DTSTART;VALUE=DATE-TIME:20061013T133000Z DTEND;VALUE=DATE-TIME:20061013T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06301@ictp.it DESCRIPTION://indico.ictp.it/event/a06301/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06301/ END:VEVENT BEGIN:VEVENT SUMMARY:Rational Polynomials and the Jacobian Conjecture DTSTART;VALUE=DATE-TIME:20061024T130000Z DTEND;VALUE=DATE-TIME:20061024T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06307@ictp.it DESCRIPTION://indico.ictp.it/event/a06307/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06307/ END:VEVENT BEGIN:VEVENT SUMMARY:2-Dimensional L_p-Minkowski Problem and its Generalizations DTSTART;VALUE=DATE-TIME:20061025T050000Z DTEND;VALUE=DATE-TIME:20061025T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06308@ictp.it DESCRIPTION://indico.ictp.it/event/a06308/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06308/ END:VEVENT BEGIN:VEVENT SUMMARY:A Demiclosedness Theorem and Fixed Points of Strictly\nPseudocontr active Mappings in Uniformly Convex Spaces DTSTART;VALUE=DATE-TIME:20061027T133000Z DTEND;VALUE=DATE-TIME:20061027T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06309@ictp.it DESCRIPTION://indico.ictp.it/event/a06309/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06309/ END:VEVENT BEGIN:VEVENT SUMMARY:Zariski Local Triviality of Principal G-Bundles and Frobenius DTSTART;VALUE=DATE-TIME:20061030T140000Z DTEND;VALUE=DATE-TIME:20061030T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06312@ictp.it DESCRIPTION://indico.ictp.it/event/a06312/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06312/ END:VEVENT BEGIN:VEVENT SUMMARY:Introduction to Mixed Hodge Structures I DTSTART;VALUE=DATE-TIME:20061102T140000Z DTEND;VALUE=DATE-TIME:20061102T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06313@ictp.it DESCRIPTION://indico.ictp.it/event/a06313/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06313/ END:VEVENT BEGIN:VEVENT SUMMARY:Boundary manifolds of complex hypersurfaces DTSTART;VALUE=DATE-TIME:20061106T140000Z DTEND;VALUE=DATE-TIME:20061106T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06319@ictp.it DESCRIPTION://indico.ictp.it/event/a06319/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06319/ END:VEVENT BEGIN:VEVENT SUMMARY:Introduction to Mixed Hodge Structures II DTSTART;VALUE=DATE-TIME:20061108T133000Z DTEND;VALUE=DATE-TIME:20061108T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06320@ictp.it DESCRIPTION://indico.ictp.it/event/a06320/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06320/ END:VEVENT BEGIN:VEVENT SUMMARY:Quaternionic contact Einstein structures and the quaternionic cont act Yamabe problem DTSTART;VALUE=DATE-TIME:20061110T133000Z DTEND;VALUE=DATE-TIME:20061110T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06321@ictp.it DESCRIPTION://indico.ictp.it/event/a06321/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06321/ END:VEVENT BEGIN:VEVENT SUMMARY:Singularities and Hodge Theory DTSTART;VALUE=DATE-TIME:20061113T140000Z DTEND;VALUE=DATE-TIME:20061113T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06325@ictp.it DESCRIPTION://indico.ictp.it/event/a06325/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06325/ END:VEVENT BEGIN:VEVENT SUMMARY:Introduction to Mixed Hodge Structures III DTSTART;VALUE=DATE-TIME:20061115T133000Z DTEND;VALUE=DATE-TIME:20061115T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06326@ictp.it DESCRIPTION://indico.ictp.it/event/a06326/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06326/ END:VEVENT BEGIN:VEVENT SUMMARY:The Application of Capacity in Some Geometric P.D.E. : Moser-Trudi nger Inequalities DTSTART;VALUE=DATE-TIME:20061117T133000Z DTEND;VALUE=DATE-TIME:20061117T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06327@ictp.it DESCRIPTION://indico.ictp.it/event/a06327/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06327/ END:VEVENT BEGIN:VEVENT SUMMARY:On the Eigenfunction Expansions of a Piecewise Smooth Function DTSTART;VALUE=DATE-TIME:20061121T130000Z DTEND;VALUE=DATE-TIME:20061121T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06333@ictp.it DESCRIPTION:In 1956 V.A. Il'in proved that the eigenfunction expansion of a piecewise smooth function associated with the Laplace operator in an arb itrary two-dimensional domain converges uniformly on every compact supset where the function is smooth.\n\nRecently (for last 10 years) this problem for elliptic operators of second order was studied in different works of authors M.Taylor\, M.Pinsky\, L.Brandolini\, L.Colzani\, Sh.Alimov and oth ers.\n\nThe main purpose of the lecture is to show that the same results a re valid for elliptic operators of an arbitrary order m.\n\n//indico.ictp. it/event/a06333/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06333/ END:VEVENT BEGIN:VEVENT SUMMARY:Some Results on Elliptic Systems DTSTART;VALUE=DATE-TIME:20061127T140000Z DTEND;VALUE=DATE-TIME:20061127T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06337@ictp.it DESCRIPTION://indico.ictp.it/event/a06337/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06337/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium in Mathematics - Old and new themes in Number Theory. DTSTART;VALUE=DATE-TIME:20061218T140000Z DTEND;VALUE=DATE-TIME:20061218T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a06349@ictp.it DESCRIPTION:Professor Sujatha is the recipient of the 2006 Ramanujan Prize for Young Mathematicians from Developing Countries.\n\n//indico.ictp.it/e vent/a06349/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a06349/ END:VEVENT BEGIN:VEVENT SUMMARY:The mixed Hodge-Riemannian bilinear relations for compact Kahler m anifolds DTSTART;VALUE=DATE-TIME:20070214T133000Z DTEND;VALUE=DATE-TIME:20070214T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0726@ictp.it DESCRIPTION:We prove the Hodge-Riemann bilinear relations\, the hard Lefsc hetz theorem and the Lefschetz decomposition for compact Kahler manifolds in the mixed situation. This is a joint-work with Tien-Cuong Dinh (Univer sity Paris 6\, France).\n\n//indico.ictp.it/event/a0726/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0726/ END:VEVENT BEGIN:VEVENT SUMMARY:Constant Q-curvature conformal metrics in arbitrary dimension DTSTART;VALUE=DATE-TIME:20070220T130000Z DTEND;VALUE=DATE-TIME:20070220T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0729@ictp.it DESCRIPTION:In this talk\, we will discuss the problem of finding metrics with constant Q-curvature on a given closed Riemannian manifold (M\,g) wit h dimension an arbitrary integer n≥3. This will be equivalent to solving an n-th order elliptic PDE (if n is even) or an n-th order elliptic integ ral equation (if n is odd) with exponential nonlinearity and variational s tructure in both cases. However when the total integral of the Q-curvatur e is large\, the Euler-Lagrange functional associated is unbounded from be low\, implying that we have to find critical points of saddle point type. Using a min-max scheme whose construction is based on concentration of vol ume\, we solve the problem under general assumptions which are also confor mally invariant.\n\n//indico.ictp.it/event/a0729/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0729/ END:VEVENT BEGIN:VEVENT SUMMARY:Surgery on manifolds with filtration DTSTART;VALUE=DATE-TIME:20070301T140000Z DTEND;VALUE=DATE-TIME:20070301T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0742@ictp.it DESCRIPTION:A fundamental problem of geometric topology is to describe all possible manifolds which are homotopy (simple homotopy) equivalent to a g iven manifold X.\nThe set of equivalence classes form a structure set S(X) which fits into the surgery exact sequence. To describe the set S(X) we must know the set of normal invariants [x\,G/TOP]\, the surgery obstructio n groups L_*(\\pi)\, and the assembly map $[X\,G/TOP]\\to L_*(\\pi)$. Th e image of assembly map consists of elements that can be realized by norma l maps of closed manifolds.\nIn this talk\, we describe relations between assembly maps\, manifolds with filtration\, Browder-Quinn surgery obstruct ion groups for stratified manifolds\, Browder-Livesay invariants\, and su rgery spectral sequence. In particular\, we give geometrical description of forbidden invariants in closed manifold surgery problem and consider s everal examples.\n\n//indico.ictp.it/event/a0742/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0742/ END:VEVENT BEGIN:VEVENT SUMMARY:An eigenvalue condition for the asymptotic stability at infinity DTSTART;VALUE=DATE-TIME:20070306T130000Z DTEND;VALUE=DATE-TIME:20070306T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0743@ictp.it DESCRIPTION:Let $X:U\\to\\mathbb{R}^2$ be a vector field defined on the\nc omplement of a compact set. We study the intrinsic relation between the as ymptotic behavior of the real eigenvalues of the differential $DX_z$ and t he global injectivity of the local diffeomorphism given by $X.$\nThis set $U$ induces a neighborhood of $\\infty$ in the Riemann Sphere $\\mathbb{R }^2\\cup\\{\\infty\\}.$ In this work we prove the existence of a sufficien t condition that imply that the vector field $X:(U\, \\infty) \\to (\\math bb{R}^2\,0)\,$ which is differentiable in $U\\setminus\\{\\infty\\}$ but n ot necessarily continuous at $\\infty\,$ has $\\infty$ as an attracting or a repelling singularity.\n\nThis improves the main result of Gutierez--Sa rmiento: (2003) Asterisque\, {\\bf 287}\, 89--102.\n\n//indico.ictp.it/eve nt/a0743/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0743/ END:VEVENT BEGIN:VEVENT SUMMARY:Classification of manifolds and splitting DTSTART;VALUE=DATE-TIME:20070315T140000Z DTEND;VALUE=DATE-TIME:20070315T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0755@ictp.it DESCRIPTION:Let $Y\\subset X$ be a closed manifold pair. A simple homotopy equivalence $f:M\\to X$ of n-manifolds splits along the submanifold $Y$ i f it is homotopy equivalent to a map which is a simple homotopy equivalenc e on the transversal preimages of the submanifold and its compliment. In t his situation the splitting obstruction groups $LS_*$ are well defined an d provide an evident obstruction to existence a homeomorphism in the homot opy class of a simple homotopy equivalence $f$. The splitting obstruction groups closely relates to detecting what elements of the Wall surgery obs truction group belong to the image of the assembly map. From the geometri cal point of view the splitting obstruction is an obstruction to do surger y inside the ambient manifold. We describe relations between surgery on ma nifold and the splitting problem and give a generalization of the splittin g theory to the case of filtered manifolds.\nWe discuss the applications of the splitting theory to the classification of closed manifolds.\n\n//in dico.ictp.it/event/a0755/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0755/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometry of certain Frobenius-Lie groups DTSTART;VALUE=DATE-TIME:20070320T130000Z DTEND;VALUE=DATE-TIME:20070320T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0756@ictp.it DESCRIPTION://indico.ictp.it/event/a0756/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0756/ END:VEVENT BEGIN:VEVENT SUMMARY:The Calabi-Yau equation on symplectic manifolds DTSTART;VALUE=DATE-TIME:20070327T130000Z DTEND;VALUE=DATE-TIME:20070327T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0763@ictp.it DESCRIPTION:We consider the problem of prescribing the volume form of a sy mplectic form compatible with a given almost-complex structure on a compac t symplectic manifold. When the complex structure is integrable\, and the manifold is therefore Kaehler\, this is the celebrated Calabi conjecture t hat was solved by Yau 30 years ago. Donaldson has recently conjectured tha t in dimension 4 the equation is still solvable\, and has shown that this would have striking consequences in symplectic topology. In a joint work w ith Ben Weinkove and Shing-Tung Yau we show that the necessary a priori es timates can be reduced to an integral estimate of a scalar function\, and that the conjecture holds under a positive curvature condition.\n\n//indic o.ictp.it/event/a0763/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0763/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium - Solitary waves in the Nonlinear Wave Equation and in Abelian Gauge Theories. DTSTART;VALUE=DATE-TIME:20070328T133000Z DTEND;VALUE=DATE-TIME:20070328T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0759@ictp.it DESCRIPTION://indico.ictp.it/event/a0759/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0759/ END:VEVENT BEGIN:VEVENT SUMMARY:On the index of the subgroup generated by the Heegner divisors DTSTART;VALUE=DATE-TIME:20070404T133000Z DTEND;VALUE=DATE-TIME:20070404T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0767@ictp.it DESCRIPTION://indico.ictp.it/event/a0767/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0767/ END:VEVENT BEGIN:VEVENT SUMMARY:Quantum Group of Isometries in Classical and Noncommutative Geomet ry DTSTART;VALUE=DATE-TIME:20070410T130000Z DTEND;VALUE=DATE-TIME:20070410T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0768@ictp.it DESCRIPTION:We formulate a quantum generalization of the notion of the gro up of Riemannian isometries for a compact Riemannian manifold\, by introdu cing a natural notion of smooth and isometric action by a compact quantum group on a classical or noncommutative manifold described by spectral trip les\, and then proving the existence of a universal object (called the qua ntum isometry group) in the category of compact quantum groups acting smoo thly and isometrically on a given (possibly noncommutative) manifold. Our formulation accommodates spectral triples which are not of type II. We giv e explicit description of quantum isometry groups of commutative and nonco mmutative tori\, and in this context\, observe an interesting quantum grou p structure on a C^* algebra which is a direct sum of commutative two-toru s and irrational rotation algebra.\n\n//indico.ictp.it/event/a0768/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0768/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium - Can you hear the degree of a map fro m the circle into itself? An intriguing story which is not yet finished. DTSTART;VALUE=DATE-TIME:20070418T133000Z DTEND;VALUE=DATE-TIME:20070418T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0760@ictp.it DESCRIPTION:Following a suggestion by I. M. Gelfand\, and motivated by que stions arising from the Ginzburg-Landau model - I discovered a few years a go\, an intriguing connection between the topological degree of a map from the circle into itself and its Fourier coefficients. This relation is eas ily justified when the map is smooth. However\, the situation turns out t o be extremely delicate if one assumes only continuity\, or even Holder co ntinuity. I will present recent developments and open problems. I will a lso discuss new estimates for the degree leading to unusual characterizati ons of Sobolev spaces. This also raises challenging questions connected t o Gamma-convergence.\n\n//indico.ictp.it/event/a0760/ LOCATION:ICTP Main Building Main Lecture Hall URL://indico.ictp.it/event/a0760/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium. Kahane polynomials and their derando mization (Joint work with J. Bourgain)\n DTSTART;VALUE=DATE-TIME:20070424T140500Z DTEND;VALUE=DATE-TIME:20070424T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0769@ictp.it DESCRIPTION:In 1957 Erd\\"os studied trigonometric polynomials with all co efficients of absolute value 1 (called unimodular polynomials)and was led to the conjecture that the the maximum modulus of a unimodular polynomial of degree n is at least (1+c)\\sqrt(n) for some positive absolute constant c. This conjecture was disproved by Littlewood in 1966 and\, on the basi s of numerical evidence\, Littlewood conjectured that there are unimodular polynomials that deviate by o(\\sqrt{n}) from its mean-square value \\sqr t{n+1}. The existence of such polynomials\, of any given degree\, was prov ed by Kahane in 1980 using probabilistic methods\, obtaining a remainder t erm of O(n^{1/2-1/17}\\sqrt{log n}).\n\nIn this lecture it will be given a new construction of these\npolynomials with the improved remainder term O (n^{1/2-1/9+epsilon})\, first using probabilistic methods\, and then with an explicit construction. The explicit construction makes use of Deligne' s Riemann hypothesis for L-functions over varieties in positive characteri stic associated to mixed exponential sums in arbitrarily many variables\, as well as of sieves and recent results about gaps between squarefree numb ers.\n\n//indico.ictp.it/event/a0769/ LOCATION:ICTP Main Building Main Lecture Hall URL://indico.ictp.it/event/a0769/ END:VEVENT BEGIN:VEVENT SUMMARY:Introduction to Khovanov homology of knots via Hochschild homology of algebras DTSTART;VALUE=DATE-TIME:20070509T133000Z DTEND;VALUE=DATE-TIME:20070509T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0797@ictp.it DESCRIPTION:Abstract:\n\nWe offer a gentle introduction to the theory of K hovanov homology of links in R^3. We start from link diagrams and Reidemei ster moves\, then we define Kauffman bracket invariant (a framed version o f the Jones polynomial) and illustrate its basic property. Khovanov homolo gy categorifies the Jones polynomial\; we show how Hochschild homology of algebras (truncated polynomials in this case) can be used to introduce Kho vanov homology. The deep theory of Hochschild homology and related Connes cyclic homology illuminates the foundation of Khovanov theory.\n\n//indico .ictp.it/event/a0797/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0797/ END:VEVENT BEGIN:VEVENT SUMMARY:Series of courses on "Knot Theory"\n DTSTART;VALUE=DATE-TIME:20070515T150000Z DTEND;VALUE=DATE-TIME:20070521T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07106@ictp.it DESCRIPTION:This will be an introductory course on Knot Theory and its rel ationships with other mathematics\, physics and molecular biology. For pap ers and notes\, please see the web page:\nhttp://www.math.uic.edu/~kauffma n\n\n//indico.ictp.it/event/a07106/ LOCATION:ICTP Main Building Lecture Room D URL://indico.ictp.it/event/a07106/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium in Mathematics\n"Recent developments i n the theory of optimal mass transportation" DTSTART;VALUE=DATE-TIME:20070523T133000Z DTEND;VALUE=DATE-TIME:20070523T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07109@ictp.it DESCRIPTION:In this talk I will describe some developments\, occured in th e last 10-15 years\, of the theory of optimal mass transportation\, that f inds its origin in a problem raised by G. Monge in 1781. I will give a ske tchy picture of the broad range of applications of this theory\, which cov ers variational formulations of evolution equations\, functional and geome tric inequalities\, (nonsmooth) Riemannian geometry\, and other fields.\n\ n//indico.ictp.it/event/a07109/ LOCATION:SISSA\, Main Building\, ground floor\, Room B URL://indico.ictp.it/event/a07109/ END:VEVENT BEGIN:VEVENT SUMMARY:Witten and Vassiliev - Physics and Knots DTSTART;VALUE=DATE-TIME:20070524T140000Z DTEND;VALUE=DATE-TIME:20070524T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07111@ictp.it DESCRIPTION:This talk will describe Witten's quantum field theoretic appro ach to knot invariants\, and how it is related to the subject of Vassiliev invariants and the deep relationship of Lie algebras and knot theory.\n\n //indico.ictp.it/event/a07111/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07111/ END:VEVENT BEGIN:VEVENT SUMMARY:Khovanov Homology DTSTART;VALUE=DATE-TIME:20070525T133000Z DTEND;VALUE=DATE-TIME:20070525T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07112@ictp.it DESCRIPTION:This talk will review the state sum definition of the bracket polynomial model for the Jones polynomial and show how one can associate a chain complex to these states so that the homology of the chain complex g ives new topological information beyond the Jones polynomial. This "categ orification" of the Jones polynomial gives rise to many new research quest ions.\n\n//indico.ictp.it/event/a07112/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07112/ END:VEVENT BEGIN:VEVENT SUMMARY:Free and non-free multiplicity on hyperplane arrangements. DTSTART;VALUE=DATE-TIME:20070529T130000Z DTEND;VALUE=DATE-TIME:20070529T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07113@ictp.it DESCRIPTION:A multiarrangement\, which is a collection of hyperplanes with multiplicities\, was introduced by Ziegler for the purpose of solving sev eral problems of free arrangements\, e.g.\, Terao conjecture. There are se veral interesting studies related to multiarrangements\, its logarithmic v ector fields and freenss by Solomon\, Terao\, and Yoshinaga. Especially\, Yoshinaga proved that Terao conjecture is closely related to free multiarr angements. In this talk\, we give two useful theorems to consider the free ness of multiarrangements\, i.e.\, the addition-deletion theorem and chara cteristic polynomial. As an application\, we classify the free and non-fre e graphic multiplicity on the Coxeter arrangements of type $A_\\ell$. The main part of this talk is joint work with Hiroaki Terao and Max Wakefield. \n\n//indico.ictp.it/event/a07113/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07113/ END:VEVENT BEGIN:VEVENT SUMMARY:de Rham-Hodge theory and Gromov-type differential relations DTSTART;VALUE=DATE-TIME:20070605T130000Z DTEND;VALUE=DATE-TIME:20070605T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07117@ictp.it DESCRIPTION://indico.ictp.it/event/a07117/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07117/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometric theory of level sets of real functions and surfaces DTSTART;VALUE=DATE-TIME:20070612T130000Z DTEND;VALUE=DATE-TIME:20070612T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07124@ictp.it DESCRIPTION:We build a mathematical theory of level sets of ''smooth'' rea l functions and surfaces.\n\nSimilar results were obtained in the 1970s in Gamma-lines theory for an important but particular class of harmonic func tions. In turn\, Gamma-lines theory is similar to Nevanlinna theory of val ue distribution of meromorphic functions.\n\nStudies have progressed as fo llows. The classical Nevanlinna deficiency relation was transferred into G amma-lines theory and in this paper we establish an analogous assertion fo r real functions and surfaces.\n\nIt is therefore becoming apparent that N evanlinna type phenomena have rather universal character in mathematics si nce the phenomena now have corresponding varieties in complex analysis\, i n real analysis and in geometry.\n\nSince the level sets admit interpretat ions in many applied sciences\, one can hope that the new theory will be u seful in applications.\n\nNote that in physics\, for instance\, the level set can be an isoterm\, isobar\, potential line\, streaming line\, or a se t where chemical\, oil\, or radiation pollution have the same constant val ue.\n\n//indico.ictp.it/event/a07124/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07124/ END:VEVENT BEGIN:VEVENT SUMMARY:Stability related to Calabi's extremal metrics\non toric Manifolds DTSTART;VALUE=DATE-TIME:20070613T133000Z DTEND;VALUE=DATE-TIME:20070613T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07126@ictp.it DESCRIPTION:In this talk\, I will discuss a relationship between the K-sta bility and the Calabi's extremal metrics on toric manifolds. We prove tha t on a polarized toric manifold the relative K-stability is a necessary co ndition for the existence of Calabi's extremal metrics\, and also we show that the modified K-energy is proper in the space of G_0-invariant Kähler metrics for the case of toric surfaces which admit the extremal metrics. If possible I will also discuss an existence theorem for the weak extremal metrics on toric manifolds.\n\n//indico.ictp.it/event/a07126/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07126/ END:VEVENT BEGIN:VEVENT SUMMARY:Irreducibility of hypersurfaces DTSTART;VALUE=DATE-TIME:20070626T130000Z DTEND;VALUE=DATE-TIME:20070626T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07136@ictp.it DESCRIPTION://indico.ictp.it/event/a07136/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07136/ END:VEVENT BEGIN:VEVENT SUMMARY:A new proof of the Morse-Bott inequalities DTSTART;VALUE=DATE-TIME:20070814T130000Z DTEND;VALUE=DATE-TIME:20070814T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07227@ictp.it DESCRIPTION:Abstract: Let f be a Morse-Bott function on a compact orien ted finite dimensional manifold M. The polynomial Morse inequalities and a perturbation technique approximating any Morse-Bott function by a Morse function show immediately that if MB_t(f) is the Morse-Bott polynomial o f f \, and P_t(M) is the Poincare polynomial of M \, there exists a pol ynomial R(t) such that MB_t(f) = P_t(M) + (1+t)R(t). We prove that R( t) is a polynomial with non-negative integer coefficients\, using the Mor se Homology Theorem\, and by studying the ranks of the kernels of the diff erentials of the Morse-Smale-Witten complexes of the Morse functions invol ved in the approximation scheme.\nOur method works when all the critical s ubmanifolds are oriented or when Z_2 coefficients are used. Our proof is much more direct than all previous proofs.\nThis is a joint work with Da vid E. Hurtubise.\n\n//indico.ictp.it/event/a07227/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07227/ END:VEVENT BEGIN:VEVENT SUMMARY:Set theoretic solutions of the Yang-Baxter equation\, graphs and c omputations DTSTART;VALUE=DATE-TIME:20070816T140000Z DTEND;VALUE=DATE-TIME:20070816T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07228@ictp.it DESCRIPTION:Abstract. It is well-known that certain matrix solutions of t he braid or Yang-Baxter equations lead to braided categories\, knot invari ants\, quantum groups and other important constructions. However\, these e quations are also very interesting at the level of set maps r : X x X --> X x X\, where X is a set and r is a bijection\, a line of study proposed b y Drinfeld. Solutions extend linearly to very special linear solutions but also lead to a great deal of combinatorics\, and to algebras with very ni ce algebraic and homological properties including those relating to Artin- Schelter regularity\, Koszulity\, being Noetherian domain\, the existence of noncommutative Groebner bases.\nWe extend our recent work on set-theore tic solutions of the Yang-Baxter or braid relations with new results about their automorphism groups\, strong twisted unions of solutions and multip ermutation solutions. We introduce and study graphs of solutions and use o ur graphical methods for the computation of solutions of finite order and their automorphisms. Results include a detailed study of solutions of mult ipermutation level 2.\n\n//indico.ictp.it/event/a07228/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07228/ END:VEVENT BEGIN:VEVENT SUMMARY:Coloured graphs\, Burgers equation and Hessian conjecture DTSTART;VALUE=DATE-TIME:20070823T140000Z DTEND;VALUE=DATE-TIME:20070823T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07234@ictp.it DESCRIPTION:Generating function for coloured graphs with tails satisfies a system of partial differential equations generalizing the Burgers equatio n. This system of differential equations admits an explicit recurrent solu tion in terms of genus expansion. The corresponding system of differentia l equations for the initial term of the genus expansion is equivalent to a functional equation concerning the inversion problem for certain formal p ower series. This solution immediately provides the Bass-Connell-Wright Tr ee Inversion Formula which was invented (in quite different terms) in 1982 in connection with the Jacobian Conjecture. At the same time considerati on of these equations provides some other recent developments in the Jacob ian Conjecture by W. Zhao and D. Wright.\n\n//indico.ictp.it/event/a07234/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07234/ END:VEVENT BEGIN:VEVENT SUMMARY:Piecewise C^r (r >= 1) circle homeomorphisms and invariant measure s DTSTART;VALUE=DATE-TIME:20070829T133000Z DTEND;VALUE=DATE-TIME:20070829T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07235@ictp.it DESCRIPTION://indico.ictp.it/event/a07235/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07235/ END:VEVENT BEGIN:VEVENT SUMMARY:Holomorphic dynamics in loop spaces DTSTART;VALUE=DATE-TIME:20070906T140000Z DTEND;VALUE=DATE-TIME:20070906T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07238@ictp.it DESCRIPTION:Several natural constructions of holomorphic mappings of Riema nn surfaces into loop spaces endowed with natural almost complex structure s will be presented. The main attention will be given to based loop spaces of compact Lie groups and immersed loop spaces of three-dimensional\nRiem annian manifolds. In particular case when the source space is the unit dis c in complex plane\, basic geometric properties of the arising holomorphic families of loops will be established and their interpretation in dynamic al terms will be given. It will be shown that examples of\nholomorphic dyn amics in loop spaces arise from Seifert fibrations and isolated singularit ies of algebraic plane curves. A visual example provided by the inverse of Hopf fibration will be considered in some detail. It will be also shown t hat each Seifert fibration can be turned\ninto a holomorphic family of loo ps parameterized by its factor-space.\n\n//indico.ictp.it/event/a07238/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07238/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometrical characterization of the perverse filtration DTSTART;VALUE=DATE-TIME:20070912T133000Z DTEND;VALUE=DATE-TIME:20070912T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07241@ictp.it DESCRIPTION:The derived category of constructible sheaves\nhas two particu larly important t-structures\,\nnamely the standard and the middle perver se.\nThey define two different notions of truncation\nof a complex of shea ves\, hence two filtrations\non its cohomology. The aim of this talk is to \ngive a simple geometric characterization of\nthe perverse filtration\, r ecently obtained in\njoint work with M.A. de Cataldo.\n\n//indico.ictp.it/ event/a07241/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07241/ END:VEVENT BEGIN:VEVENT SUMMARY:Mathematical definition of large limit radius point in the moduli space of CY manifolds DTSTART;VALUE=DATE-TIME:20070928T133000Z DTEND;VALUE=DATE-TIME:20070928T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07260@ictp.it DESCRIPTION://indico.ictp.it/event/a07260/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07260/ END:VEVENT BEGIN:VEVENT SUMMARY:Principal Eigenvalue for a Quasilinear Elliptic Problem in an Unbo unded Domain DTSTART;VALUE=DATE-TIME:20071030T130000Z DTEND;VALUE=DATE-TIME:20071030T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07271@ictp.it DESCRIPTION://indico.ictp.it/event/a07271/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07271/ END:VEVENT BEGIN:VEVENT SUMMARY:The variational approach to finding holomorphic curves DTSTART;VALUE=DATE-TIME:20071108T140000Z DTEND;VALUE=DATE-TIME:20071108T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07291@ictp.it DESCRIPTION://indico.ictp.it/event/a07291/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07291/ END:VEVENT BEGIN:VEVENT SUMMARY:Laws of the iterated logarithm for weakly dependent random variabl es with values in Banach spaces DTSTART;VALUE=DATE-TIME:20071127T130000Z DTEND;VALUE=DATE-TIME:20071127T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07299@ictp.it DESCRIPTION://indico.ictp.it/event/a07299/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07299/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium - Linear groups and Einstein manifolds DTSTART;VALUE=DATE-TIME:20071203T140000Z DTEND;VALUE=DATE-TIME:20071203T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07303@ictp.it DESCRIPTION:Professor Lauret is the recipient of the 2007 Ramanujan Prize for Young Mathematicians from Developing Countries.\n\nAbstract:\nThe cons truction of Einstein Riemannian metrics on manifolds is a classical proble m in differential geometry and general relativity. General existence and non-existence results are hard to obtain\, and it is a natural simplificat ion to impose additional symmetry assumptions.\nIn this talk\, we will fir st give an elementary introduction to the study of G-orbits and the orbit space V/G\, for a subgroup G of the group of invertible linear maps GL(V)\ , where V is a real finite dimensional vector space. Strong results from this theory will then be applied to the study of Einstein manifolds admitt ing certain transitive groups of symmetries.\n\n//indico.ictp.it/event/a07 303/ LOCATION:ICTP URL://indico.ictp.it/event/a07303/ END:VEVENT BEGIN:VEVENT SUMMARY:Well-posedness of models of gradient plasticity DTSTART;VALUE=DATE-TIME:20071204T130000Z DTEND;VALUE=DATE-TIME:20071204T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07310@ictp.it DESCRIPTION:The inability of classical models of plasticity to model mater ial behaviour at nano-meso scale levels has led to the development of new theories which incorporate size-dependence via the inclusion of strain gra dients. In this talk\, we first revisit the formulation of the classical models\; then we present some of the new models and we discuss the well-po sedness of the intial boundary value problems obtained from these methods. \n\n//indico.ictp.it/event/a07310/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a07310/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium - Measurements of randomness DTSTART;VALUE=DATE-TIME:20071212T140000Z DTEND;VALUE=DATE-TIME:20071212T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a07321@ictp.it DESCRIPTION:The objective decision whether a given sequence consists of ra ndom or of non-random numbers is not easy\, but Kolmogorov published (in I talian) a paper on this problem in an insurance statistics journal (G. ist . ital. attar. 1933). \nThe randomness measure introduced in that paper su ggests that the geometric progressions like \n03\, 09\, 27\, 81\, 43\, 29\ , 87\, 61\, 83\, 49\, 47\, 41\, 23\, 69\, 07 \nare more random than the ar ithmetical ones like \n37\, 74\, 11\, 48\, 85\, 22\, 59\, 96\, 33\, 70\, 0 7\, 44\, 81\, 18\, 55. \nFor the arithmetical progressions of fractional p arts\, whose difference is a rational number\, the randomness parameter te nds to zero when the length of the progression grows. \nThere exist irrati onal differences for which the randomness parameters of long arithmetical progressions of fractional parts do not tend to zero and whose behaviour i s unknown for almost all values of the difference because of some unsolved problems of the statistics of continued fractions. \nThe most known use o f the Kolmogorov Italian paper to practical problems was his 1940 study of the attempts by Lyzenko to reject the Mendel law of genetics\, which was based on the empirically observed difference between the experimental data and the prediction of Mendel's law. \nKolmogorov proved that the experien ces of the Lyzenko school confirmed the Mendel law rather than reject it: a smaller difference between the theory and the experiment would be a proo f of the falsification of the experimental data. \nThese conclusions of Ko lmogorov were\, however\, unpublished\, since the classical genetic expert s answered to Lyzenko by their own experimental data\, whose difference wi th Mendel's prediction were minimal.\n\n//indico.ictp.it/event/a07321/ LOCATION:ICTP Main Building Main Lecture Hall URL://indico.ictp.it/event/a07321/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium. Straight lines of a plane and real al gebraic geometry DTSTART;VALUE=DATE-TIME:20080123T140000Z DTEND;VALUE=DATE-TIME:20080123T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a085@ictp.it DESCRIPTION:Which values may attain the number $M$ of the connected compon ents of the complement to $n$ distinct straight lines in the real plane?\n For $n=4$ the possible numbers of components are (5\, 8\, 9\, 10\, 11)\, b ut the general problem for $n$ straight lines is unsolved.\nNamely\, betwe en the minimal number of components\, $n+1$\, and\nthe maximal one\, $(n^2 +n+2)/2$\, there are gaps formed by the\nunattainable numbers.\nThe first gap is $n+1C(k)$). For the unstable values of $n$\, the $k$-th gap may be small er than the stable answer. Its exact boundary is unknown even for the 3-rd gap (where the stability starts from $n=14$ straight lines).\nIn real alg ebraic geometry even the simplest problems are difficult (and even the con tribution of Hilbert to his 16-th problem\, discussing these questions\, w as wrong).\n\n//indico.ictp.it/event/a085/ LOCATION:ICTP Main Building Main Lecture Hall URL://indico.ictp.it/event/a085/ END:VEVENT BEGIN:VEVENT SUMMARY:ARNOLD SEMINAR AT ICTP\, TRIESTE. Problems for the Seminar DTSTART;VALUE=DATE-TIME:20080125T133000Z DTEND;VALUE=DATE-TIME:20080125T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0819@ictp.it DESCRIPTION:This is the first of a series of informal seminars presided by V.I. Arnold and devoted to solutions of some old and new mathematical pro blems proposed by him. (Subsequent sessions will be on Wednesdays at 14.30 hours).\n\n//indico.ictp.it/event/a0819/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0819/ END:VEVENT BEGIN:VEVENT SUMMARY:ARNOLD SEMINAR AT ICTP\, TRIESTE. Quadratic irrationalities and i nteger normed lattices. DTSTART;VALUE=DATE-TIME:20080201T133000Z DTEND;VALUE=DATE-TIME:20080201T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0824@ictp.it DESCRIPTION:Problems 5 and 12 of the recent Arnold list concern the contin ued fractions of irrational roots of quadratic equations. These continued fractions are periodic\, and\nthe periods may have some symmetry\, like pa lindromicity.\nI show that these symmetries are related to the symmetries\ nof the classes of quadratic forms associated to the quadratic equations. I give moreover a geometrical description of the quadratic fields theory. \n\nThe mathematical seminar organised by V.I. Arnold is devoted\nto sever al subjects of mathematics. It will take place on\nFRIDAYS (not on Wednesd ays as previously announced)\,\nat 14:30 hours\, in the Seminar Room of th e ICTP Main Building.\n\n//indico.ictp.it/event/a0824/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0824/ END:VEVENT BEGIN:VEVENT SUMMARY:ARNOLD SEMINAR AT ICTP\, TRIESTE. Rolling balls and Octonions. DTSTART;VALUE=DATE-TIME:20080208T133000Z DTEND;VALUE=DATE-TIME:20080208T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0831@ictp.it DESCRIPTION:We consider mysterious hidden symmetries of a classical non-ho lonomic kinematic model. The problem was not stated by Vladimir Arnold bu t\, I hope\, its study is in the spirit of the Arnold school. Moreover\, I hope that some participants of the seminar would help to find a better g eometric interpretation of these symmetries.\n\nThe mathematical seminar o rganised by V.I. Arnold is devoted to several subjects of mathematics. It takes place on Fridays\, at 14:30 hours\, in the Seminar Room of the ICTP Main Building. Contact: uribe@ictp.it\n\n//indico.ictp.it/event/a0831/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0831/ END:VEVENT BEGIN:VEVENT SUMMARY:ARNOLD SEMINAR AT ICTP\, TRIESTE. Arithmetics of the numbers of o rbits of the Fermat-Euler dynamical systems. DTSTART;VALUE=DATE-TIME:20080215T133000Z DTEND;VALUE=DATE-TIME:20080215T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0839@ictp.it DESCRIPTION:Given two positive integers $a\, n$\, with $(a\,n)=1$\, we con sider the Fermat-Euler dynamical system $\\hat a$\, defined by the multipl ication by $a$\, acting on the set of residues modulo $n$\, relatively pri me to $n$.\n\nGiven an integer $M>1$\, the integers $n$ for which the numb er of orbits of this dynamical system is a multiple of $M$ form an ideal i n the multiplicative semigroup of odd integers. We provide new results on the arithmetical properties of these ideals by using the topological prop erties of some directed graphs.\n\n\nThe mathematical seminar organised by V.I. Arnold is devoted to several subjects of mathematics. It takes place on Fridays\, at 14:30 hours\, in the Seminar Room of the ICTP Main Buildi ng.\nContact: uribe@ictp.it\n\n//indico.ictp.it/event/a0839/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0839/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium in Mathematics.\nPermutations DTSTART;VALUE=DATE-TIME:20080220T140000Z DTEND;VALUE=DATE-TIME:20080220T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0848@ictp.it DESCRIPTION:Random permutations of N elements have peculiar statistics of the lengths of the cycles (discovered by V.L. Gontcharov\, 1942).\n\nThe n umber of the cycles of a random permutation of N points grows with\nN (in the mean) as 1+ 1/2 +1/3 + … + 1/N ~ 0\,58 + ln N.\nThe Fibonacci cat map is the action of the matrix [ ] permuting the n^2 points of the finit e torus Z/nZ x Z/nZ. Such algebraically defined permutations have quite di fferent statistics (from that of the random ones).\n\nExample: Some permut ations of 100 points have periods exceeding 230 million.\n\nThe length of the period of the cat map\, permuting 150x150 pixels\, is only 300. The st udy of similar examples (begun in the 1990s by I. Persival and F. Dyson) has led to unexpected mathematical theorems.\n\nExample: The number of tho se permutations of 2N points\, all whose cycles are of even length\, is a square of an integer\, namely\, of (2N-1)!! =1.3.5…..(2N-1).\n\n//indico .ictp.it/event/a0848/ LOCATION:ICTP Main Building Lecture Room C URL://indico.ictp.it/event/a0848/ END:VEVENT BEGIN:VEVENT SUMMARY:ARNOLD SEMINAR AT ICTP\, TRIESTE. Uniform distribution of the non divisible vectors in the crystalline space. DTSTART;VALUE=DATE-TIME:20080222T133000Z DTEND;VALUE=DATE-TIME:20080222T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0850@ictp.it DESCRIPTION:A vector of the space of integers $\\Z^n$ $(n>1)$ is called di visible if it is the product of some other vector of this space by an inte ger greater than 1.\n\nThe uniform distribution of a set $M$ in the $n$-di mensional integer space means that for any domain the number of points of $M$ in this domain\, dilated homothetically with homothety coefficient $N$ is asymptotically proportional to the volume of this domain\, multiplied by $N^n$. The proportionality coefficient is called the density of $M$.\n\ nTHEOREM. The set $M$ of the nondivisible vectors of $\\Z^n$ (n>1) is dis tributed there uniformly with density $1/\\zeta(n)$\, where $\\zeta$ is th e Euler zeta function.\n\nExample. The density of the set of nondivisible vectors in the plane lattice equals $1/\\zeta(2)=6/\\pi^2\\approx 2/3$.\n \n//indico.ictp.it/event/a0850/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0850/ END:VEVENT BEGIN:VEVENT SUMMARY:Bifurcation of Lorenz maps and Lorenz like flows: The bifurcation diagram and the variation of the entropy for the contacting case. DTSTART;VALUE=DATE-TIME:20080304T130000Z DTEND;VALUE=DATE-TIME:20080304T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0855@ictp.it DESCRIPTION://indico.ictp.it/event/a0855/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0855/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometry of Singularities of Complex Algebraic Surfaces DTSTART;VALUE=DATE-TIME:20080306T140000Z DTEND;VALUE=DATE-TIME:20080306T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0859@ictp.it DESCRIPTION://indico.ictp.it/event/a0859/ LOCATION:ICTP Main Building Seminar Room URL://indico.ictp.it/event/a0859/ END:VEVENT BEGIN:VEVENT SUMMARY:Polynomial convexity: some results in C^2 and why do we care\n(cha nge of date) DTSTART;VALUE=DATE-TIME:20080402T130000Z DTEND;VALUE=DATE-TIME:20080402T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0871@ictp.it DESCRIPTION://indico.ictp.it/event/a0871/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0871/ END:VEVENT BEGIN:VEVENT SUMMARY:On the spectral properties of Hamiltonians without conservation of the particle number. DTSTART;VALUE=DATE-TIME:20080408T130000Z DTEND;VALUE=DATE-TIME:20080408T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0883@ictp.it DESCRIPTION://indico.ictp.it/event/a0883/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0883/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Joint Colloquium - Orbital Stability of standing waves for the nonlinear Schrödinger equation. DTSTART;VALUE=DATE-TIME:20080416T130000Z DTEND;VALUE=DATE-TIME:20080416T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0869@ictp.it DESCRIPTION:Standing waves are time-periodic solutions of the nonlinear Sc hrödinger equation having a special form. It is natural to investigate th eir stability with respect to perturbations of the initial condition. Orbi tal stability is the appropriate notion but the Hamiltonian structure of t he problem means that a linearized analysis is insufficient to establish s tability. After reviewing the main issues involved in such a study\, we sh all give a survey some results on this topic.\n\n//indico.ictp.it/event/a0 869/ LOCATION:ICTP Leonardo da Vinci Building Main Lecture Hall URL://indico.ictp.it/event/a0869/ END:VEVENT BEGIN:VEVENT SUMMARY:Uniqueness problem of meromorphic mappings DTSTART;VALUE=DATE-TIME:20080422T130000Z DTEND;VALUE=DATE-TIME:20080422T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0886@ictp.it DESCRIPTION://indico.ictp.it/event/a0886/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0886/ END:VEVENT BEGIN:VEVENT SUMMARY:Expansive homeomorphisms of the plane DTSTART;VALUE=DATE-TIME:20080429T130000Z DTEND;VALUE=DATE-TIME:20080429T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0887@ictp.it DESCRIPTION://indico.ictp.it/event/a0887/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0887/ END:VEVENT BEGIN:VEVENT SUMMARY:On class of holonomic D-modules on symmetric matrices attached to the general linear group DTSTART;VALUE=DATE-TIME:20080507T133000Z DTEND;VALUE=DATE-TIME:20080507T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0888@ictp.it DESCRIPTION://indico.ictp.it/event/a0888/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0888/ END:VEVENT BEGIN:VEVENT SUMMARY:First eigenvalue estimates and geometric applications DTSTART;VALUE=DATE-TIME:20080513T130000Z DTEND;VALUE=DATE-TIME:20080513T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08101@ictp.it DESCRIPTION://indico.ictp.it/event/a08101/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08101/ END:VEVENT BEGIN:VEVENT SUMMARY:Weak solutions of some nonconservative hyperbolic systems DTSTART;VALUE=DATE-TIME:20080520T130000Z DTEND;VALUE=DATE-TIME:20080520T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08102@ictp.it DESCRIPTION://indico.ictp.it/event/a08102/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08102/ END:VEVENT BEGIN:VEVENT SUMMARY:The secant varieties of nilpotent orbits DTSTART;VALUE=DATE-TIME:20080522T140000Z DTEND;VALUE=DATE-TIME:20080522T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08103@ictp.it DESCRIPTION://indico.ictp.it/event/a08103/ LOCATION:ICTP URL://indico.ictp.it/event/a08103/ END:VEVENT BEGIN:VEVENT SUMMARY:Sharp remainder terms of the Rellich inequality and its applicatio n DTSTART;VALUE=DATE-TIME:20080527T130000Z DTEND;VALUE=DATE-TIME:20080527T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08104@ictp.it DESCRIPTION://indico.ictp.it/event/a08104/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08104/ END:VEVENT BEGIN:VEVENT SUMMARY:Irreducibility and Approximate Roots (I) DTSTART;VALUE=DATE-TIME:20080624T130000Z DTEND;VALUE=DATE-TIME:20080624T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08130@ictp.it DESCRIPTION:In the first lecture I shall show that if F is a monic polynom ial of degree N in Y over the meromorphic series field K((X))then several other polynomials associated with F are also irreducible. In the second l ecture I shall apply this to approximate roots of F.\n\n//indico.ictp.it/e vent/a08130/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08130/ END:VEVENT BEGIN:VEVENT SUMMARY:Simple analytic proofs of the Prime Number Theorem DTSTART;VALUE=DATE-TIME:20080625T133000Z DTEND;VALUE=DATE-TIME:20080625T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08133@ictp.it DESCRIPTION:In this quite elementary lecture I sketch two quick and simple approaches to the Prime Number Theorem\, one (D. Newman\, J. Korevaar) ve ry well documented in literature\, the other one (E. Witt) at least lesser known. Further\, I will indicate how one can combine the two to get a si milarly short and elementary proof in a generalized situation which includ es the Prime Ideal Theorem.\n\n//indico.ictp.it/event/a08133/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08133/ END:VEVENT BEGIN:VEVENT SUMMARY:Irreducibility and Approximate Roots (II) DTSTART;VALUE=DATE-TIME:20080626T140000Z DTEND;VALUE=DATE-TIME:20080626T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08131@ictp.it DESCRIPTION:In the first lecture I shall show that if F is a monic polynom ial of degree N in Y over the meromorphic series field K((X))then several other polynomials associated with F are also irreducible. In the second l ecture I shall apply this to approximate roots of F.\n\n//indico.ictp.it/e vent/a08131/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08131/ END:VEVENT BEGIN:VEVENT SUMMARY:Recent Developments in 2D energy-critical nonlinear Klein-Gordon a nd Schroedinger equations DTSTART;VALUE=DATE-TIME:20080701T130000Z DTEND;VALUE=DATE-TIME:20080701T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08135@ictp.it DESCRIPTION:The nonlinear Schrodinger and Klein-Gordon equations appear as good models for many physical phenomena in nonlinear optics or plasma phy sics. The mathematical study of their Cauchy problems depends on the space dimension\, the growth of the nonlinearity and the regularity of the init ial data.\n\nIn this talk\, first I will define an energy critical model f or the nonlinear Klein-Gordon and Schrodinger equations in two space dimen sions. Then\, I will explain why one has global well-posedness in the so-c alled sub-critical and critical cases\, while a sort of ill-posedness occu rs in the super-critical regime. Finally\, I will state the scattering res ult for the Klein-Gordon case and compare it to the power case.\n\nI will conclude my talk by some remarks about the focusing case.\n\n//indico.ictp .it/event/a08135/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08135/ END:VEVENT BEGIN:VEVENT SUMMARY:On the Jacobian Problem DTSTART;VALUE=DATE-TIME:20080702T133000Z DTEND;VALUE=DATE-TIME:20080702T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08137@ictp.it DESCRIPTION://indico.ictp.it/event/a08137/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08137/ END:VEVENT BEGIN:VEVENT SUMMARY:Exotic contact structures on $S^{2n+1}$ DTSTART;VALUE=DATE-TIME:20080902T130000Z DTEND;VALUE=DATE-TIME:20080902T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08228@ictp.it DESCRIPTION://indico.ictp.it/event/a08228/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08228/ END:VEVENT BEGIN:VEVENT SUMMARY:Complex Kleinian Groups DTSTART;VALUE=DATE-TIME:20080904T140000Z DTEND;VALUE=DATE-TIME:20080904T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08229@ictp.it DESCRIPTION://indico.ictp.it/event/a08229/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08229/ END:VEVENT BEGIN:VEVENT SUMMARY:A conjectural description of the weight filtration of the\ntwisted character variety of a Riemann surface DTSTART;VALUE=DATE-TIME:20080923T130000Z DTEND;VALUE=DATE-TIME:20080923T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08236@ictp.it DESCRIPTION:The variety parametrizing twisted representations with values in a reductive group G of the fundamental group of a Riemann surface has a natural structure of affine smooth variety\, and\, as such\, has a mixe d Hodge structure\, recently investigated by Hausel and Rodriguez-Villeg as.\nBy Hitchin theory\, this variety is diffeomorphic to the moduli spa ce of semistable principal bundles with a Higgs field.\nThis moduli space has a natural proper map\, the Hitchin fibration\, with target a linear sp ace. We conjecture that the weight filtration of the cohomology of the cha racter variety coincides with a filtration naturally associated to the top ology of the Hitchin fibration.\nWe will discuss some evidence for this co njecture and a strategy.\nJoint work with M. de Cataldo(SUNY) and T.Hausel (OXFORD)\n\n//indico.ictp.it/event/a08236/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08236/ END:VEVENT BEGIN:VEVENT SUMMARY:Curvature vs. Curvature Operator DTSTART;VALUE=DATE-TIME:20080930T130000Z DTEND;VALUE=DATE-TIME:20080930T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08237@ictp.it DESCRIPTION:This talk will be of an expository nature\, examining the\nexi stence of Riemannian metrics with prescribed signs of sectional curvature and the curvature operator. We will look at several examples.\n\n//indico. ictp.it/event/a08237/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08237/ END:VEVENT BEGIN:VEVENT SUMMARY:Localization of Atiyah Classes DTSTART;VALUE=DATE-TIME:20081002T140000Z DTEND;VALUE=DATE-TIME:20081002T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08240@ictp.it DESCRIPTION://indico.ictp.it/event/a08240/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08240/ END:VEVENT BEGIN:VEVENT SUMMARY:Excellent Swimmers DTSTART;VALUE=DATE-TIME:20081008T134500Z DTEND;VALUE=DATE-TIME:20081008T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08248@ictp.it DESCRIPTION://indico.ictp.it/event/a08248/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08248/ END:VEVENT BEGIN:VEVENT SUMMARY:Extremals for the Sobolev inequality on the quaternionic Heisenber g group and the quaternionic contact Yamabe problem DTSTART;VALUE=DATE-TIME:20081014T130000Z DTEND;VALUE=DATE-TIME:20081014T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08249@ictp.it DESCRIPTION:Abstract:\n\nWe describe explicitly non-negative extremals for the Sobolev inequality on the seven dimensional quaternionic Hesenberg gr oup and determine the best constant in the $L^2$ Folland-Stein embedding t heorem involving quaternionic contact geometry and the Biquard connection. Consequently\, we obtain a solution of the quaternionic contact Yamabe pr oblem on the quaternionic seven sphere. We show that the torsion of the B iquard connection is the only obstruction quaternionic contact structure t o be locally isomorphic to a 3-Sasakian one. We define a curvature-type te nsor invariant called quaternionic contact (qc) conformal curvature in te rms of the curvature and torsion of the Biquard connection. The discovered tensor is similar to the Weyl conformal curvature in Riemannian geometry and to the Chern-Moser invariant in CR geometry. We show that a quaternion ic contact manifold is locally qc conformal (gauge equivalent) to the stan dard flat quaternionic contact structure on the quaternionic Heisenberg gr oup\, or equivalently\, to the standard 3-sasakian structure on the sphere if and only if the qc conformal curvature vanishes.\n\n//indico.ictp.it/e vent/a08249/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08249/ END:VEVENT BEGIN:VEVENT SUMMARY:K theory of torus manifolds DTSTART;VALUE=DATE-TIME:20081022T133000Z DTEND;VALUE=DATE-TIME:20081022T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08256@ictp.it DESCRIPTION://indico.ictp.it/event/a08256/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08256/ END:VEVENT BEGIN:VEVENT SUMMARY:The Bochner-flat cone of a CR manifold DTSTART;VALUE=DATE-TIME:20081118T130000Z DTEND;VALUE=DATE-TIME:20081118T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08265@ictp.it DESCRIPTION://indico.ictp.it/event/a08265/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08265/ END:VEVENT BEGIN:VEVENT SUMMARY:Exceptional curves on del Pezzo surfaces DTSTART;VALUE=DATE-TIME:20081119T133000Z DTEND;VALUE=DATE-TIME:20081119T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08273@ictp.it DESCRIPTION://indico.ictp.it/event/a08273/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08273/ END:VEVENT BEGIN:VEVENT SUMMARY:Characteristic classes and generic bundle morphisms DTSTART;VALUE=DATE-TIME:20081125T130000Z DTEND;VALUE=DATE-TIME:20081125T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a08274@ictp.it DESCRIPTION://indico.ictp.it/event/a08274/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a08274/ END:VEVENT BEGIN:VEVENT SUMMARY:On the Intersection of Rational Transversal Subtori DTSTART;VALUE=DATE-TIME:20090127T130000Z DTEND;VALUE=DATE-TIME:20090127T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0912@ictp.it DESCRIPTION://indico.ictp.it/event/a0912/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0912/ END:VEVENT BEGIN:VEVENT SUMMARY:Sum-free sets\, sets with small sumset and the clique number of ra ndom Cayley graphs. DTSTART;VALUE=DATE-TIME:20090226T140000Z DTEND;VALUE=DATE-TIME:20090226T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0934@ictp.it DESCRIPTION:A subset $A$ of an abelian group is said to be sum-free if the re is no solution of the equation $x+y =z$ with $x\,y\, z \\in A.$\n\nGive n a subset $B$ of a finite abelian group $G$\, the set $B+B$ consists of a ll those elements of $G$\, which can be written as a sum of two elements o f $B$. We say that a set has small sumset if the cardinality of $B+B$ is n ot much larger in compare to the cardinality of $B.$\nIn a joint work with R. Balasubramanian and D.S. Ramana\, we observe that in certain groups\, the question of counting the total number of sum-free sets is related to t he question of counting the number of sets with small sumset.\n\nIn anothe r work\, we obtain an upper bound for the number of sets with small sumset . Using this one obtain an upper bound for the number of sum-free sets in a finite abelian groups of "type III" which is substantially better than t he bound implied by the result of Ben Green and Imre Ruzsa.\n\nMoreover us ing this\, one also obtain an existence of Ramsey graphs among Cayley grap hs and thereby proving a weaker version of a conjecture of Noga Alon.\n\n/ /indico.ictp.it/event/a0934/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0934/ END:VEVENT BEGIN:VEVENT SUMMARY:Nonexistence of quasi-harmonic spheres DTSTART;VALUE=DATE-TIME:20090302T130000Z DTEND;VALUE=DATE-TIME:20090302T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0935@ictp.it DESCRIPTION://indico.ictp.it/event/a0935/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0935/ END:VEVENT BEGIN:VEVENT SUMMARY:Statistics of random mappings of finite sets DTSTART;VALUE=DATE-TIME:20090319T130000Z DTEND;VALUE=DATE-TIME:20090319T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0944@ictp.it DESCRIPTION://indico.ictp.it/event/a0944/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0944/ END:VEVENT BEGIN:VEVENT SUMMARY:Standing waves in nonlinear Schroedinger equations DTSTART;VALUE=DATE-TIME:20090319T050000Z DTEND;VALUE=DATE-TIME:20090319T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0950@ictp.it DESCRIPTION://indico.ictp.it/event/a0950/ LOCATION:ICTP URL://indico.ictp.it/event/a0950/ END:VEVENT BEGIN:VEVENT SUMMARY:Standing waves in nonlinear Schroedinger equations DTSTART;VALUE=DATE-TIME:20090324T130000Z DTEND;VALUE=DATE-TIME:20090324T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0951@ictp.it DESCRIPTION:The nonlinear Schroedinger equation appears in several physica l or biological models and enjoys various interesting mathematical propert ies. In particular\, this equation admits standing waves\, i.e. solutions whose profile remains unchanged under the evolution in time.\nFor the phys ical applications\, it is essential to know the stability properties of wa ves with respect to perturbations. It is also important to understand the nature of any potential instability.\n\nThe talk will start by a review of classical results on nonlinear Schroedinger equations and their standing waves. Then we will discuss stability and instability issues. Finally\, we will present recent stability/instability results on a nonlinear Schroedi nger equation\nperturbed by a Dirac potential.\n\n//indico.ictp.it/event/a 0951/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0951/ END:VEVENT BEGIN:VEVENT SUMMARY:Are the quadratic residues random numbers? DTSTART;VALUE=DATE-TIME:20090331T130000Z DTEND;VALUE=DATE-TIME:20090331T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0945@ictp.it DESCRIPTION://indico.ictp.it/event/a0945/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0945/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA JOINT COLLOQUIUM - Conservation laws in conformal geome tric analysis. DTSTART;VALUE=DATE-TIME:20090407T130000Z DTEND;VALUE=DATE-TIME:20090407T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0958@ictp.it DESCRIPTION:In this talk we aim to present regularity and compactness prop erties for critical points to conformally invariant lagrangian playing a s pecial role in differential geometry:\nHarmonic maps into riemannian and p seudo-riemannian manifolds\, minimal surfaces\, prescribed mean curvature surfaces\, Willmore surfaces\, 1/2-harmonic maps and bi-harmonic maps into manifolds ...etc.\nWe will isolate common features to all these objects a nd in particular show the existence of "hidden" conservation laws which do not enter in the classical framework of Noether's Theorem.\nWe will recal l some fundamental results of the theory of integrability by compensation and we will show how\, combined with the existence of conservation laws\, this theory permits to overcome a number of analysis difficulties of these particular elliptic partial differential systems.\n\n//indico.ictp.it/eve nt/a0958/ LOCATION:ICTP Leonardo da Vinci Building Main Lecture Hall URL://indico.ictp.it/event/a0958/ END:VEVENT BEGIN:VEVENT SUMMARY:On the topology of an analytic map near a critical point DTSTART;VALUE=DATE-TIME:20090409T140000Z DTEND;VALUE=DATE-TIME:20090409T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0967@ictp.it DESCRIPTION://indico.ictp.it/event/a0967/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0967/ END:VEVENT BEGIN:VEVENT SUMMARY:Admissible local systems for a class of line arrangements DTSTART;VALUE=DATE-TIME:20090422T133000Z DTEND;VALUE=DATE-TIME:20090422T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0972@ictp.it DESCRIPTION://indico.ictp.it/event/a0972/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0972/ END:VEVENT BEGIN:VEVENT SUMMARY:Khovanov Homology for Knots and Graphs DTSTART;VALUE=DATE-TIME:20090429T133000Z DTEND;VALUE=DATE-TIME:20090429T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0979@ictp.it DESCRIPTION:This will be the first of two talks.\n\n//indico.ictp.it/event /a0979/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0979/ END:VEVENT BEGIN:VEVENT SUMMARY:Khovanov Homology for Knots and Graphs (II) DTSTART;VALUE=DATE-TIME:20090505T130000Z DTEND;VALUE=DATE-TIME:20090505T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0985@ictp.it DESCRIPTION://indico.ictp.it/event/a0985/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0985/ END:VEVENT BEGIN:VEVENT SUMMARY:Expansive Systems DTSTART;VALUE=DATE-TIME:20090522T091500Z DTEND;VALUE=DATE-TIME:20090522T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0996@ictp.it DESCRIPTION://indico.ictp.it/event/a0996/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0996/ END:VEVENT BEGIN:VEVENT SUMMARY:Elliptic Islands in a chaotic sea DTSTART;VALUE=DATE-TIME:20090522T101500Z DTEND;VALUE=DATE-TIME:20090522T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0997@ictp.it DESCRIPTION:I will describe a family of maps of the torus that\, starting from Anosov\, reaches the boundary of hyperbolicity and crosses into the e lliptic region at a point.\nAlthough the system is unrealistically simple\ , it exhibits considerable complexity and is a good test for any approach to the study of systems at the boundary of hyperbolicity.\n\n//indico.ictp .it/event/a0997/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0997/ END:VEVENT BEGIN:VEVENT SUMMARY:$Cˆ1$-Robustly expansive homoclinic classes are generically hyper bolic DTSTART;VALUE=DATE-TIME:20090522T111500Z DTEND;VALUE=DATE-TIME:20090522T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0998@ictp.it DESCRIPTION:Let f : M \\to M be a diffeomorphism defined in a d-dimensiona l compact boundary-less manifold M. We prove that generically C1-robustly expansive homoclinic classes H(p)\, p an f-hyperbolic periodic point\, are hyperbolic.\n\n//indico.ictp.it/event/a0998/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0998/ END:VEVENT BEGIN:VEVENT SUMMARY:Cyclic polygons as critical points DTSTART;VALUE=DATE-TIME:20090526T130000Z DTEND;VALUE=DATE-TIME:20090526T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a0999@ictp.it DESCRIPTION:We investigate critical points of several natural functions on the configuration space of polygonal linkage. The main attention is given to the signed area A and electrostatic potential E considered as function s on the planar configuration space C(L) of a generic polygonal linkage L. The following three settings will be discussed in some detail.\n\nFirstly \, we consider A as a function on C(L) and show that its critical points a re given by the cyclic configurations of L (as usual a configuration is ca lled cyclic if it can be inscribed in a circle\, i.e.\, there exists a poi nt in the reference plane equidistant from all vertices of L). We also sho w that\, generically\, A is a Morse function and find the Morse indices of cyclic configurations. This\, in particular\, enables us to obtain useful information about C(L) by merely examining the cyclic configurations of L \, which can be effectively done in many cases.\n\nNext\, we consider A as a function on the configuration space of an n-arm (open polygonal n-chain ) and show that its critical points are again given by the cyclic configur ations. In this case the structure of critical points can be more complica ted and we'll illustrate certain typical phenomena by concrete examples.\n \nSimilar results hold for electrostatic potential E on the planar configu ration space of polygonal linkages satisfying some additional conditions w hich guarantee boundedness of E.\n\nThe same problems become drastically m ore complicated in the case of spatial linkage and we'll end by presenting a few conjectures and open problems arising in this context.\n\n//indico. ictp.it/event/a0999/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a0999/ END:VEVENT BEGIN:VEVENT SUMMARY:The Hitchin Connection\, Toepitz Operators and TQFT DTSTART;VALUE=DATE-TIME:20090604T140000Z DTEND;VALUE=DATE-TIME:20090604T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09111@ictp.it DESCRIPTION://indico.ictp.it/event/a09111/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09111/ END:VEVENT BEGIN:VEVENT SUMMARY:Finite Elements for Symmetric Tensors in Three Dimensions DTSTART;VALUE=DATE-TIME:20090615T140000Z DTEND;VALUE=DATE-TIME:20090615T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09115@ictp.it DESCRIPTION://indico.ictp.it/event/a09115/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09115/ END:VEVENT BEGIN:VEVENT SUMMARY:Poncelet porism and integrable billiards DTSTART;VALUE=DATE-TIME:20090630T130000Z DTEND;VALUE=DATE-TIME:20090630T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09125@ictp.it DESCRIPTION:Poncelet porism is one of most beautiful and most important re sults of 19th century projective geometry: it states that existence of one closed polygonal line inscribed in a given conic and circumscribed about another one implies the existence of an infinite family of such polygons.\ nIn the talk\, classical results connected with Poncelet theorem will be o verviewed as well as new ones connected with elliptical billiards and thei r higher-dimensional generalizations.\n\n//indico.ictp.it/event/a09125/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09125/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA JOINT COLLOQUIUM - Levi curvatures and related problems DTSTART;VALUE=DATE-TIME:20090707T130000Z DTEND;VALUE=DATE-TIME:20090707T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09123@ictp.it DESCRIPTION:The Levi curvatures of a real hypersurfaces of C^{n+1} are rel ated to the Levi form the way the usual Mean or Gauss curvatures are relat ed to the real Hessian form.\nThey were implicitly introduced by Bedford a nd Gaveau in 1978\, and more explicitly\, in the case n=1\, by Tomassini in 1988.\nLater on\, Montanari and Lanconelli extended these notions to an y dimension\, following the lines of the works by Caffarelli\, Nirenberg and Spruck on the real Monge-Ampere equations. Montanari and Lanconelli sh owed that\, for hypersurface graphs on real functions\, the Levi curvature s can be expressed in terms of second order fully nonlinear PDO's with an underlying sub-Riemannian structure. The properties of these structures a llowed one to obtain:\n1) A strong comparison principle for hypersurfaces having the same Levi curvatures\;\n2) Isoperimetric inequalities\;\n3) Al exandrov-type sphere theorems\;\n4) Existence theorems of Lipschitz-contin uous viscosity solutions to the prescribed Levi-curvature problems\n5) ( only for n=1) Smoothness of the Lipschitz-continuous viscosity solutions.\ nThe results in 3) and 5) only give partial answers to problems which are still largely open.\n\n//indico.ictp.it/event/a09123/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09123/ END:VEVENT BEGIN:VEVENT SUMMARY:On generalizing Lutz twists DTSTART;VALUE=DATE-TIME:20090709T140000Z DTEND;VALUE=DATE-TIME:20090709T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09127@ictp.it DESCRIPTION:In this talk we will show how to construct a non-fillable cont act structure on a given contact manifold M\, by generalizing a well-known method by Lutz in dimension 3 to all possible dimensions.\n\n//indico.ict p.it/event/a09127/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09127/ END:VEVENT BEGIN:VEVENT SUMMARY:Multipermutation solutions of the Yang-Baxter equation DTSTART;VALUE=DATE-TIME:20090721T131500Z DTEND;VALUE=DATE-TIME:20090721T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09194@ictp.it DESCRIPTION:It is well-known that certain matrix solutions of the braid or Yang-Baxter equations lead to braided categories\, knot invariants\, quan tum groups and other important constructions. However\, these equations ar e also very interesting at the level of set maps $r:X\\times X\\to X\\time s X\,$ where X is a set and r is a bijection\, a line of study proposed by Drinfeld. Solutions extend linearly to very special linear solutions but also lead to a great deal of combinatorics\, and to algebras with very nic e algebraic and homological properties including those relating to Artin-S chelter regularity\, Koszulity\, being a PBW Noetherian domain\, and the e xistence of noncommutative Groebner bases.\n\nIn this talk I will examine solutions mainly from the point of view of finite permutation groups: a s olution gives rise to a map from X to the symmetric group $Sym(X)$ on X sa tisfying certain conditions.\n\nOur results include many new constructions based on strong twisted union and wreath product\, with an investigation of retracts and the multipermutation level and the solvable length of the groups defined by the solutions\; and new results about decompositions and factorisations of the groups defined by invariant subsets of the solution .\nThis talk is based on a joint work with Peter Cameron.\n\n//indico.ictp .it/event/a09194/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09194/ END:VEVENT BEGIN:VEVENT SUMMARY:Nonsmooth Analysis and its Applications to: nonconvex differential inclusions\, quasi-variational inequalities (QVI)\, differential QVI\, ec onomic problems DTSTART;VALUE=DATE-TIME:20090728T130000Z DTEND;VALUE=DATE-TIME:20090728T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09201@ictp.it DESCRIPTION:In this talk\, we intend to introduce the audience to Nonsmoot h Analysis concepts via illustrative examples and then we show how we can apply those concepts and some important results from Nonsmooth Analysis to differential inclusions and some other important applications such as Var iational inequalities (VI)\, Quasi-variational Inequalities (QVI)\, Noncon vex Differential QVI\, and Economic Problems. Important perspectives and open problems will be given.\n\n//indico.ictp.it/event/a09201/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09201/ END:VEVENT BEGIN:VEVENT SUMMARY:Some properties of randomly perturbed dynamical systems DTSTART;VALUE=DATE-TIME:20090731T133000Z DTEND;VALUE=DATE-TIME:20090731T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09198@ictp.it DESCRIPTION://indico.ictp.it/event/a09198/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09198/ END:VEVENT BEGIN:VEVENT SUMMARY:A symplectic foliation of the 5-sphere DTSTART;VALUE=DATE-TIME:20090731T144500Z DTEND;VALUE=DATE-TIME:20090731T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09199@ictp.it DESCRIPTION:We explain the construction of a smooth codimension-one foliat ion on the 5-sphere in which every leaf is a symplectic four-manifold and such that the symplectic structure varies smoothly.\nThe construction impl ies the existence of a complete regular Poisson structure on the five-sphe re.\nApart from some spheres which can be foliated by Riemann surfaces (th is foliations are orientable and therefore symplectic) this example provid es the only example of a regular Poisson structure on a sphere. This is jo int work with Pablo Suarez (CIMAT\, Mexico).\n\n//indico.ictp.it/event/a09 199/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09199/ END:VEVENT BEGIN:VEVENT SUMMARY:Introduction to the Riemannian geometry of Lie algebroids DTSTART;VALUE=DATE-TIME:20090901T130000Z DTEND;VALUE=DATE-TIME:20090901T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09209@ictp.it DESCRIPTION://indico.ictp.it/event/a09209/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09209/ END:VEVENT BEGIN:VEVENT SUMMARY:Weak solutions for some nonlinear elliptic problem with variable e xponent and measure data DTSTART;VALUE=DATE-TIME:20090909T133000Z DTEND;VALUE=DATE-TIME:20090909T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09212@ictp.it DESCRIPTION://indico.ictp.it/event/a09212/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09212/ END:VEVENT BEGIN:VEVENT SUMMARY:Some Classification Results on Quasi-Quantum Groups and Tensor Cat egories DTSTART;VALUE=DATE-TIME:20090923T133000Z DTEND;VALUE=DATE-TIME:20090923T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09218@ictp.it DESCRIPTION://indico.ictp.it/event/a09218/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09218/ END:VEVENT BEGIN:VEVENT SUMMARY:Energy identity for a sequence of maps from a surface to a Riemann ian manifold DTSTART;VALUE=DATE-TIME:20091111T133000Z DTEND;VALUE=DATE-TIME:20091111T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09241@ictp.it DESCRIPTION://indico.ictp.it/event/a09241/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09241/ END:VEVENT BEGIN:VEVENT SUMMARY:Projective normality of finite group quotient varieties and the EG Z theorem DTSTART;VALUE=DATE-TIME:20091112T140000Z DTEND;VALUE=DATE-TIME:20091112T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09251@ictp.it DESCRIPTION:Let $G$ be a finite group of order $n$. Let $V$ be a finite di mensional representation of $G$ over C. Let $L$ be the descent of the line bundle O(1)^n. We show that the polarised variety $(G\\V\,L)$ is projecti vely normal if either $G$ is solvable or $G$ is generated by pseudo reflec tions. In this proof\, we use the combinatorial result of Erd{\\o}s-Ginzbu rg-Ziv. We then show projective normality for solvable groups using toric algebra and deduce the EGZ result as a consequence.\n\n//indico.ictp.it/ev ent/a09251/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09251/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINARS 2009 - Parabolic bundles on Algebraic Surfaces DTSTART;VALUE=DATE-TIME:20091118T133000Z DTEND;VALUE=DATE-TIME:20091118T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09252@ictp.it DESCRIPTION://indico.ictp.it/event/a09252/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09252/ END:VEVENT BEGIN:VEVENT SUMMARY:Bihamiltonian geometry and classical W-algebras DTSTART;VALUE=DATE-TIME:20091124T130000Z DTEND;VALUE=DATE-TIME:20091124T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a09259@ictp.it DESCRIPTION://indico.ictp.it/event/a09259/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a09259/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Kakutani-von Neumann maps on simplexe s DTSTART;VALUE=DATE-TIME:20100129T130000Z DTEND;VALUE=DATE-TIME:20100129T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1020@ictp.it DESCRIPTION:A Kakutani-von Neumann map is the push-forward of the group ro tation (Z_2\,+1) to a unit simplex via an appropriate topological quotient . The usual quotient towards the unit interval is given by the base 2 expa nsion of real numbers\, which in turn is induced by the doubling map.\n\nW e replace the doubling map with an n-dimensional generalization of the ten t map\; this allows us to define Kakutani-von Neumann transformations in s implexes of arbitrary dimensions. The resulting maps are piecewise-linear bijections (not just mod 0 bijections)\, whose orbits are all uniformly di stributed\; in particular\, they are uniquely ergodic w.r.t. the Lebesgue measure.\n\nThe forward orbit of a certain vertex provides an enumeration of all points in the simplex having dyadic coordinates\, and this enumerat ion can be translated via the n-dimensional Minkowski function to an enume ration of all rational points. In the course of establishing the above res ults\, we introduce a family of {+1\,-1}-valued functions\, constituting a n n-dimensional analogue of the classical Walsh functions.\nPaper referenc e:\nhttp://arxiv.org/abs/1001.3324\n\n//indico.ictp.it/event/a1020/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a1020/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Basic results on regular functions ov er quaternions DTSTART;VALUE=DATE-TIME:20100129T143000Z DTEND;VALUE=DATE-TIME:20100129T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1021@ictp.it DESCRIPTION:The richness of the theory of holomorphic functions of one com plex variable arouse interest in "resembling" theories for quaternionic fu nctions of a quaternionic variable. The first aim of the talk is to presen t the definition of (Cullen or) slice regular function over quaternions\, accompanied by the main reasons that motivated it. The basic results of t his recent theory will then be illustrated\, paying particular attention to those topics in which the results are diverse from those which hold tru e for the theory of complex holomorphic functions.\n\n//indico.ictp.it/eve nt/a1021/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a1021/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Properties of zero sets of regular fu nctions DTSTART;VALUE=DATE-TIME:20100129T153000Z DTEND;VALUE=DATE-TIME:20100129T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1022@ictp.it DESCRIPTION:The aim of this talk is to give a geometrical description of t he zero sets of regular functions over quaternions\; in particular we wil l focus our attention on the zero sets of regular polynomials and give a p roof of the Fundamental Theorem of Algebra in this setting.\nSome related topics will be then presented in order to show what kind of difficulties o r open problems are still under investigation.\n\n//indico.ictp.it/event/a 1022/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a1022/ END:VEVENT BEGIN:VEVENT SUMMARY:Infinitesimal gradient plasticity with isotropic hardening and pla stic spin DTSTART;VALUE=DATE-TIME:20100202T130000Z DTEND;VALUE=DATE-TIME:20100202T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1019@ictp.it DESCRIPTION://indico.ictp.it/event/a1019/ LOCATION:ICTP Leonardo da Vinci Building Seminar Room URL://indico.ictp.it/event/a1019/ END:VEVENT BEGIN:VEVENT SUMMARY:Lax pair equations and Connes-Kreimer renormalization DTSTART;VALUE=DATE-TIME:20100219T133000Z DTEND;VALUE=DATE-TIME:20100219T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1028@ictp.it DESCRIPTION:We find a Lax pair equation corresponding to the Connes-Kreime r Birkhoff factorization of the character group of a Hopf algebra. This fl ow preserves the locality of counterterms. In particular\, we obtain a flo w for the character given by Feynman rules\, and relate this flow to the R enormalization Group Flow. This is a joint work with Steven Rosenberg.\n\n //indico.ictp.it/event/a1028/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a1028/ END:VEVENT BEGIN:VEVENT SUMMARY:The fundamental group of the group of Hamiltonian diffeomorphisms DTSTART;VALUE=DATE-TIME:20100224T133000Z DTEND;VALUE=DATE-TIME:20100224T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1043@ictp.it DESCRIPTION://indico.ictp.it/event/a1043/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a1043/ END:VEVENT BEGIN:VEVENT SUMMARY:Outer functions in analytic weighted Lipschitz algebras DTSTART;VALUE=DATE-TIME:20100309T130000Z DTEND;VALUE=DATE-TIME:20100309T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1053@ictp.it DESCRIPTION://indico.ictp.it/event/a1053/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1053/ END:VEVENT BEGIN:VEVENT SUMMARY:Anisotropic singular perturbations theory DTSTART;VALUE=DATE-TIME:20100406T130000Z DTEND;VALUE=DATE-TIME:20100406T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1062@ictp.it DESCRIPTION://indico.ictp.it/event/a1062/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1062/ END:VEVENT BEGIN:VEVENT SUMMARY:On dimension of certain C*-algebras DTSTART;VALUE=DATE-TIME:20100413T130000Z DTEND;VALUE=DATE-TIME:20100413T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1074@ictp.it DESCRIPTION:The classification program of Elliott\, the goal of which is to classify amenable C*-algebras by their K-theoretical data\, has been su ccessful for many classes of C*-algebras\, in particular for simple AH alg ebras with no dimension growth. Therefore\, the AH algebras which may be m ost interested in nowadays are the one with higher dimension growth (than zero). In this talk\, we will study dimension theory (stable rank and real rank) of simple AH-algebras (the algebras can be written as inductive lim its of matrices algebras over commutative C*-algebras). In particular\, we are interested in the algebras which can be written as inductive limits o f commutative C*-algebras with ”diagonal connecting maps” but without any hypothesis on dimension. This class include interesting algebras: AF a lgebras\, AI and AT algebras\, Goodearl algebras\, algebras constructed by Villadsen\, and\, by Toms.\n\n//indico.ictp.it/event/a1074/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1074/ END:VEVENT BEGIN:VEVENT SUMMARY:Circle Homeomorphisms and Arnold Tongues DTSTART;VALUE=DATE-TIME:20100414T133000Z DTEND;VALUE=DATE-TIME:20100414T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1076@ictp.it DESCRIPTION:For an increasing homeomorphism F of the real line such that F -Id is of period 1\, the average amount by which every point is translated under the map is given by the translation number.\nSimilarly for an orien tation preserving circle homeomorphism f the average angle by which every point on the circle is rotated is given by the rotation number.\nOne can s tudy the parameter space of certain family of circle maps using the transl ation and rotation numbers. In this talk the structure of the "Arnold tong ues" for a certain family of circle maps is discussed.\n\n//indico.ictp.it /event/a1076/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1076/ END:VEVENT BEGIN:VEVENT SUMMARY:Stratified Bundles on simply-connected varieties in characteristic p.\n\n(This is joint work with Helene Esnault) DTSTART;VALUE=DATE-TIME:20100415T130000Z DTEND;VALUE=DATE-TIME:20100415T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1078@ictp.it DESCRIPTION://indico.ictp.it/event/a1078/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1078/ END:VEVENT BEGIN:VEVENT SUMMARY:Invariant measures of circle homeomorphisms with singularities DTSTART;VALUE=DATE-TIME:20100420T130000Z DTEND;VALUE=DATE-TIME:20100420T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1081@ictp.it DESCRIPTION:We study circle homeomorphisms with break points and irrationa l rotation number. We will formulate our main results on:\n1) ergodicity \, regularity and singularity properties of preserving orientation circle homeomorphisms with single break point\;\n2) absolute continuity and singu larity of invariant measures of circle homeomorphisms with several break p oints.\n\n//indico.ictp.it/event/a1081/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1081/ END:VEVENT BEGIN:VEVENT SUMMARY:A Prototype of Complex Systems: A Piecewise-smooth Mechanical Osci llator DTSTART;VALUE=DATE-TIME:20100421T133000Z DTEND;VALUE=DATE-TIME:20100421T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1082@ictp.it DESCRIPTION:In this talk we are interested in classical vector fields whi ch are not required to be continuous everywhere\, that is\, defined by pi ecewise-smooth maps. To perform a qualitative analysis of the phase portra its of a class of discontinuous vector fields\, identifying algebraical a nd topological features for the so called escaping and sliding regions\, h as been the goal of several researchers\, mainly in Control theory\, where the discontinuous oscillations phenomena have been modeled by the introdu ction of discontinuities in semi-linear vector fields\, using sign functi ons. Those systems are called relay systems and they have gain great impor tance to understand the discontinuous behavior and the interesting phenome na that can be observed. We will analyze a system composed of a block conn ected to a fixed linear-elastic spring on a moving conveyor belt\, subjec t to Coulomb friction.\n\n//indico.ictp.it/event/a1082/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1082/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Pugh-Shub Stable Ergodicity\, Partial Hyperbolicity and Lyapunov Exponents DTSTART;VALUE=DATE-TIME:20100507T130000Z DTEND;VALUE=DATE-TIME:20100507T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1089@ictp.it DESCRIPTION:This talk is a survey of recent advances in the Pugh-Shub stab le ergodicity theory for partially hyperbolic diffeomorphisms. I describe two "competing" methods to show that a given partially hyperbolic diffeomo rphism is stably ergodic (i.e.\, it is ergodic along with any of its suff iciently small perturbations). One of them relates the problem to the glob al estimates of the action of the system along its central direction while another one deals with a more delicate estimate using Lyapunov exponents in the central direction.\n\n//indico.ictp.it/event/a1089/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1089/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Invariant Lagrange Submanifolds of Di ssipative Systems DTSTART;VALUE=DATE-TIME:20100507T143000Z DTEND;VALUE=DATE-TIME:20100507T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1090@ictp.it DESCRIPTION:Given a Riemannian manifold M and “mechanical” Hamiltonian function H on T* M we construct invariant Lagrange submanifolds of dissip ative systems on T* M whose cooordinate presentation has the form\n\nq' = dH/dp(p\,q) \, p' = - dH/dq(p\,q) - ap\n\nwhere a is a positive constant.\ nThe construction uses the curvature of the flows on the cotangent bundle and ideas of the partially hyperbolic dynamics.\n\n//indico.ictp.it/event /a1090/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1090/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Transitive flows on surfaces and ergo dicity DTSTART;VALUE=DATE-TIME:20100526T133000Z DTEND;VALUE=DATE-TIME:20100526T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10107@ictp.it DESCRIPTION://indico.ictp.it/event/a10107/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10107/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Discontinuous Gradient Dynamical Syst ems DTSTART;VALUE=DATE-TIME:20100528T133000Z DTEND;VALUE=DATE-TIME:20100528T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10108@ictp.it DESCRIPTION://indico.ictp.it/event/a10108/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10108/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Geometric structure of chaotic system s DTSTART;VALUE=DATE-TIME:20100609T133000Z DTEND;VALUE=DATE-TIME:20100609T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10113@ictp.it DESCRIPTION:We will review some classical and recent results about Markov \nstructures in certain classes of discrete time dynamical systems.\n\n//i ndico.ictp.it/event/a10113/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10113/ END:VEVENT BEGIN:VEVENT SUMMARY:Unique mixing C*-dynamical systems DTSTART;VALUE=DATE-TIME:20100621T130000Z DTEND;VALUE=DATE-TIME:20100621T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10122@ictp.it DESCRIPTION://indico.ictp.it/event/a10122/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10122/ END:VEVENT BEGIN:VEVENT SUMMARY:MATHEMATICS COLLOQUIUM - Graph algebras and graph limits DTSTART;VALUE=DATE-TIME:20100714T100000Z DTEND;VALUE=DATE-TIME:20100714T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10198@ictp.it DESCRIPTION://indico.ictp.it/event/a10198/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10198/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINARS - Fast Endomorphisms on Jacobians of G enus 2 Hyperelliptic Curves over Binary Fields DTSTART;VALUE=DATE-TIME:20100715T133000Z DTEND;VALUE=DATE-TIME:20100715T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10197@ictp.it DESCRIPTION:In EUROCRYPT 2009\, Galbraithh\, Lin and Scott constructed eff iciently computable endomorphisms for a large family of elliptic curves de fined over finite fields of large characteristic. The scalar multiplicati on on GLS curves can be accelerated while the GLV method is applied.\nIn t his talk\, we introduce our recent work on extending the method to the Jac obians of genus 2 hyperelliptic curves defined over binary fields. We giv e explicit formulae of endomorphisms on the Jacobians for the twisted curv es of every isomorphism class of genus 2 hyperelliptic curves over binary fields. We investigate the benefits of fast scalar multiplication using v arious simultaneous scalar multiplication methods and show a speedup for u p to 40% for a 256-bit scalar multiplication comparing with the best gener al ordinary methods.\n\n//indico.ictp.it/event/a10197/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10197/ END:VEVENT BEGIN:VEVENT SUMMARY:ONE DAY OF COMBINATORICS AT ICTP - A linear algebraic way of looki ng at combinatorial designs. DTSTART;VALUE=DATE-TIME:20100721T090000Z DTEND;VALUE=DATE-TIME:20100721T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10205@ictp.it DESCRIPTION://indico.ictp.it/event/a10205/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10205/ END:VEVENT BEGIN:VEVENT SUMMARY:ONE DAY OF COMBINATORICS AT ICTP - Standard finitely presented qua dratic algebras with "good" properties. DTSTART;VALUE=DATE-TIME:20100721T100000Z DTEND;VALUE=DATE-TIME:20100721T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10206@ictp.it DESCRIPTION://indico.ictp.it/event/a10206/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10206/ END:VEVENT BEGIN:VEVENT SUMMARY:ONE DAY OF COMBINATORICS AT ICTP - Nowhere-zero flows and zero-sum flows in graphs. DTSTART;VALUE=DATE-TIME:20100721T130000Z DTEND;VALUE=DATE-TIME:20100721T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10207@ictp.it DESCRIPTION://indico.ictp.it/event/a10207/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10207/ END:VEVENT BEGIN:VEVENT SUMMARY:ONE DAY OF COMBINATORICS AT ICTP - Spectral characterization of gr aphs. DTSTART;VALUE=DATE-TIME:20100721T140000Z DTEND;VALUE=DATE-TIME:20100721T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10208@ictp.it DESCRIPTION://indico.ictp.it/event/a10208/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10208/ END:VEVENT BEGIN:VEVENT SUMMARY:ONE DAY OF COMBINATORICS AT ICTP - About Sumner and Seymour's conj ectures. DTSTART;VALUE=DATE-TIME:20100721T150000Z DTEND;VALUE=DATE-TIME:20100721T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10210@ictp.it DESCRIPTION://indico.ictp.it/event/a10210/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10210/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Destruction of Horseshoes DTSTART;VALUE=DATE-TIME:20100722T140000Z DTEND;VALUE=DATE-TIME:20100722T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10212@ictp.it DESCRIPTION:In this talk we discuss some mechanisms of destruction of dyna mics. We start with a horseshoe and study the variation of the topologica l entropy after bifurcating an internal tangency through a one-parameter f amily. Using geometrical methods\, we prove that\, for a big set of parame ters\, the topological entropy is a non-increasing function. This result f ormalizes the idea that the loss of transversal homoclinic intersections i mplies the decreasing of the amount of dynamics.\n\n//indico.ictp.it/event /a10212/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10212/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Normal Forms for Local Dynamical Syst ems. DTSTART;VALUE=DATE-TIME:20100723T133000Z DTEND;VALUE=DATE-TIME:20100723T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10213@ictp.it DESCRIPTION:The set of systems of differential equations that are in norma l form with respect to a particular linear part has the structure of a mod ule of equivariants\, and is best described by giving a Stanley decomposit ion of that module.\n\n//indico.ictp.it/event/a10213/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10213/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Topology and Topological sequence ent ropy. DTSTART;VALUE=DATE-TIME:20100723T141000Z DTEND;VALUE=DATE-TIME:20100723T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10214@ictp.it DESCRIPTION:Let X be a compact metric space and T:-> X be continuous. Let h^*(T) be the supremum of sequence entropies of T over all subsequences o f N and S(X) be the set of h^*(T) for all continuous maps T on X. We want to find out the relation between S(X) and the topology structure of the s pace X. In this talk I will introduce some of the recent results about th is subject.\n\n//indico.ictp.it/event/a10214/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10214/ END:VEVENT BEGIN:VEVENT SUMMARY:The Morse index and multiplicity of closed geodesics DTSTART;VALUE=DATE-TIME:20100727T130000Z DTEND;VALUE=DATE-TIME:20100727T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10215@ictp.it DESCRIPTION:The problem of closed geodesics is a traditional and\nimportan t topic in dynamical systems and differential geometry. There is a longst anding conjecture that there exist infinitely many distinct closed geodesi cs on every compact Riemannian manifold. The current interest on this prob lem is on compact simply connected manifolds\, specially spheres. So far n ot much is known on the multiplicity of closed geodesics on such manifolds when their dimensions are at least 3. Recently\, Professor Yiming Long an d myself have proved the following\n\nTheorem: There exist at least two di stinct closed geodesics on every compact simply connected Riemannian (or F insler) manifold whose dimension is at least 2.\n\nIn this talk\, I shall give a survey on the study of the problem of closed geodesics and explain some main ideas in the proof of the above theorem.\n\n//indico.ictp.it/eve nt/a10215/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10215/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-conference on Abstract and Differential Equations - Convergen ce theorems for a new class of nonspreading-type mappings in Hilbert space s. DTSTART;VALUE=DATE-TIME:20100729T080000Z DTEND;VALUE=DATE-TIME:20100729T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10217@ictp.it DESCRIPTION://indico.ictp.it/event/a10217/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10217/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-conference on Abstract and Differential Equations - Stabiliza tion of coupled wave equation by different approach.\n DTSTART;VALUE=DATE-TIME:20100729T084000Z DTEND;VALUE=DATE-TIME:20100729T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10218@ictp.it DESCRIPTION://indico.ictp.it/event/a10218/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10218/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-conference on Abstract and Differential Equations - On a frac tional quadratic integral equation. DTSTART;VALUE=DATE-TIME:20100729T094000Z DTEND;VALUE=DATE-TIME:20100729T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10219@ictp.it DESCRIPTION://indico.ictp.it/event/a10219/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10219/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-conference on Abstract and Differential Equations - Non exist ence results of sign-changing solutions to an elliptic problem with critic al nonlinearity.\n DTSTART;VALUE=DATE-TIME:20100729T102000Z DTEND;VALUE=DATE-TIME:20100729T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10220@ictp.it DESCRIPTION://indico.ictp.it/event/a10220/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10220/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-conference on Abstract and Differential Equations - Global ex istence and optimal decay rate of solutions for the degenerate quasilinear wave equations with a strong dissipation.\n DTSTART;VALUE=DATE-TIME:20100729T130000Z DTEND;VALUE=DATE-TIME:20100729T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10221@ictp.it DESCRIPTION://indico.ictp.it/event/a10221/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10221/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-conference on Abstract and Differential Equations - Existence and uniqueness of weak and entropy solutions for homogeneous Neumann boun dary value problem involving variable exponent.\n DTSTART;VALUE=DATE-TIME:20100729T134000Z DTEND;VALUE=DATE-TIME:20100729T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10222@ictp.it DESCRIPTION://indico.ictp.it/event/a10222/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10222/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-conference on Abstract and Differential Equations - Hybrid ap proximation of solutions of nonlinear operator equations and application t o equation of Hammerstein-type.\n DTSTART;VALUE=DATE-TIME:20100729T144000Z DTEND;VALUE=DATE-TIME:20100729T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10223@ictp.it DESCRIPTION://indico.ictp.it/event/a10223/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10223/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-conference on Abstract and Differential Equations - On an ell iptic system and application to Marine ecology. DTSTART;VALUE=DATE-TIME:20100729T152000Z DTEND;VALUE=DATE-TIME:20100729T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10224@ictp.it DESCRIPTION://indico.ictp.it/event/a10224/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10224/ END:VEVENT BEGIN:VEVENT SUMMARY:Some geometric problems related to quasi-local mass in general rel ativity DTSTART;VALUE=DATE-TIME:20100803T130000Z DTEND;VALUE=DATE-TIME:20100803T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10216@ictp.it DESCRIPTION://indico.ictp.it/event/a10216/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10216/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - The dynamical systems in population b iology DTSTART;VALUE=DATE-TIME:20100826T140000Z DTEND;VALUE=DATE-TIME:20100826T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10231@ictp.it DESCRIPTION:The talk is devoted to the properties of nonlinear dynamical s ystems\, which arise in problems of mathematical genetics and population b iology. Many results about asymptotic behavior of the trajectories of suc h dynamical systems will be presented and several open problems will be di scussed.\n\n//indico.ictp.it/event/a10231/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10231/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINARS - Polydifferentials and the KZ system. DTSTART;VALUE=DATE-TIME:20100901T133000Z DTEND;VALUE=DATE-TIME:20100901T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10229@ictp.it DESCRIPTION://indico.ictp.it/event/a10229/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10229/ END:VEVENT BEGIN:VEVENT SUMMARY:Complex and Real Milnor Fibrations DTSTART;VALUE=DATE-TIME:20100916T140000Z DTEND;VALUE=DATE-TIME:20100916T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10240@ictp.it DESCRIPTION:In this talk we present a refinement of Milnor's Fibration The orem for complex analytic maps and we use analogous ideas to generalize Mi lnor's Fibration Theorem for real analytic maps for some families of real analytic maps with isolated critical value.\n\n//indico.ictp.it/event/a102 40/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10240/ END:VEVENT BEGIN:VEVENT SUMMARY:Variations of trends of indicators describing complex systems: cha nge of scaling precursory to extreme events DTSTART;VALUE=DATE-TIME:20100922T133000Z DTEND;VALUE=DATE-TIME:20100922T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10242@ictp.it DESCRIPTION:Socio-economic and natural complex systems persistently genera te extreme events also known as disasters\, crises\, or critical transitio ns. Here we analyze patterns of background activity preceding extreme even ts in four complex systems: economic recessions\, surges in homicides in a megacity\, magnetic storms and strong earthquakes. We use as a starting p oint the indicators describing the system's behavior and identify changes in an indicator's trend. Those changes constitute our background events (B E). We demonstrate a premonitory pattern common to all four systems consid ered: relatively large magnitude BEs become more frequent before extreme e vent. A premonitory change of scaling has been found in various models and observations. Here we demonstrate this change in scaling of uniformly def ined BEs in four real complex systems\, their enormous differences notwith standing.\n\n//indico.ictp.it/event/a10242/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10242/ END:VEVENT BEGIN:VEVENT SUMMARY:Complex contact manifolds and circle actions DTSTART;VALUE=DATE-TIME:20100923T140000Z DTEND;VALUE=DATE-TIME:20100923T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10241@ictp.it DESCRIPTION:We study the rigidity of certain holomorphic Euler\ncharacteri stics under circle actions on complex contact manifolds. In particular\, w e obtain certain vanishing theorems analogous to those of LeBrun and Salam on under positive curvature assumptions.\n\n//indico.ictp.it/event/a10241/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10241/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars - Relations between shadowing and struc tural stability in dynamical systems DTSTART;VALUE=DATE-TIME:20100930T140000Z DTEND;VALUE=DATE-TIME:20100930T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10252@ictp.it DESCRIPTION:In this talk\, we discuss several recent results on relations between various shadowing properties of dynamical systems with discrete an d continuous time and structural stability.\nMain topics:\n(1) C1-interior s of sets of dynamical systems with various shadowing properties\;\n(2) sh adowing properties of smooth vector fields and structural stability\;\n(3) equivalence of Lipschitz shadowing and structural stability\;\n(4) relati ons between periodic shadowing and Omega-stability.\n\nThe formal seminar will be followed by an informal more technical discussion for anyone who i s interested in the details of the work.\n\n//indico.ictp.it/event/a10252/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10252/ END:VEVENT BEGIN:VEVENT SUMMARY:"Deciding the undecidable: probabilistic and numerical approaches to chaotic dynamical systems" DTSTART;VALUE=DATE-TIME:20101004T133000Z DTEND;VALUE=DATE-TIME:20101004T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10256@ictp.it DESCRIPTION://indico.ictp.it/event/a10256/ LOCATION:University of Trieste URL://indico.ictp.it/event/a10256/ END:VEVENT BEGIN:VEVENT SUMMARY:Some open problems in expansive systems\n\n(PLEASE NOTE UNUSUAL TI ME AND ROOM) DTSTART;VALUE=DATE-TIME:20101005T093000Z DTEND;VALUE=DATE-TIME:20101005T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10257@ictp.it DESCRIPTION://indico.ictp.it/event/a10257/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10257/ END:VEVENT BEGIN:VEVENT SUMMARY:JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINARS - Curve shortening fl ow. DTSTART;VALUE=DATE-TIME:20101012T153000Z DTEND;VALUE=DATE-TIME:20101012T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10264@ictp.it DESCRIPTION://indico.ictp.it/event/a10264/ LOCATION:ICTP Adriatico Guest House Giambiagi Lecture Hall URL://indico.ictp.it/event/a10264/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - A class of dynamical systems with no topological attractors DTSTART;VALUE=DATE-TIME:20101014T150000Z DTEND;VALUE=DATE-TIME:20101014T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10266@ictp.it DESCRIPTION:On every compact 3-manifold\, we build a non-empty open set of Cˆ1 diffeomorphisms such that\, every C^r-generic diffeomorphism in this open set has no topological attractors. We will also discuss alternative definitions of attractors which may be better adapted to generic dynamics. \nIt is a joint work with C.Bonatti and D. Yang.\n\n//indico.ictp.it/event /a10266/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10266/ END:VEVENT BEGIN:VEVENT SUMMARY:Representation theory and homology of Yang-Mills algebras DTSTART;VALUE=DATE-TIME:20101020T133000Z DTEND;VALUE=DATE-TIME:20101020T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10273@ictp.it DESCRIPTION:This is a joint work with Estanislao Herscovich.\n\nYang-Mills algebras have been defined by Alain Connes and Michel Dubois-Violette in connection to some problems arising from string theory and noncommutative quantum field theory.\n\nAlthough it is possible to describe in a simple w ay every irreducible finite dimensional representation\, the task of chara cterizing the complete category of representations of a Yang-Mills algebra is rather difficult.\n\nThe aim of this talk is threefold.\n\nIn the firs t place\, I will recall the general definitions and the main properties of these algebras.\n\nThen\, I will focus on exhibiting certain families of representations fine enough to separate elements of the Yang-Mills algebra s.\n\nFinally\, I shall also present several computations in relation to h omological properties for these algebras\, in particular\, the Hochschild and Cyclic homology.\n\n//indico.ictp.it/event/a10273/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10273/ END:VEVENT BEGIN:VEVENT SUMMARY:JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINARS - Mean curvature flow . DTSTART;VALUE=DATE-TIME:20101026T153000Z DTEND;VALUE=DATE-TIME:20101026T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10280@ictp.it DESCRIPTION://indico.ictp.it/event/a10280/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10280/ END:VEVENT BEGIN:VEVENT SUMMARY:On representations of Bol algebras DTSTART;VALUE=DATE-TIME:20101116T130000Z DTEND;VALUE=DATE-TIME:20101116T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10294@ictp.it DESCRIPTION:There is a long tradition in algebraic theory to investigate t he structure of algebras\, their category\, their representations and\, th eir cohomology and homology. More recently\, representations of Lie triple systems has been given by using the symmetric bundles. It is well known t hat\, Lie triple systems appear as particular Bol algebras. Today\,in some sense\, a structure theory of Bol algebras is given. In this paper\, the category of Bol algebras is firstly studied. Secondly\, after using the no tion of Bol modules\, the construction of representations of Bol algebras is obtained. We also investigate the dual representations of Bol algebras and\, give the duality principle for such algebras.\n\n//indico.ictp.it/ev ent/a10294/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10294/ END:VEVENT BEGIN:VEVENT SUMMARY:JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINARS - More about Kahler g eometry DTSTART;VALUE=DATE-TIME:20101119T080000Z DTEND;VALUE=DATE-TIME:20101119T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10300@ictp.it DESCRIPTION://indico.ictp.it/event/a10300/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10300/ END:VEVENT BEGIN:VEVENT SUMMARY:Further investigation on iteration processes for pseudocontractive maps DTSTART;VALUE=DATE-TIME:20101123T130000Z DTEND;VALUE=DATE-TIME:20101123T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10302@ictp.it DESCRIPTION:A new iteration process for approximation of fixed points of\n bounded continuous pseudocontractive mapping is proposed and strong conver gence theorems obtained. The iteration scheme seems simpler and more effic ient than those previously introduced for this class of operators by sever al authors. As an application\, we prove that a slight modification of our new scheme could be employed for approximation of zeros of bounded contin uous accretive operators.\n\n//indico.ictp.it/event/a10302/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10302/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - Bifurcations of random dynamical syst ems DTSTART;VALUE=DATE-TIME:20101206T100000Z DTEND;VALUE=DATE-TIME:20101206T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10291@ictp.it DESCRIPTION://indico.ictp.it/event/a10291/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10291/ END:VEVENT BEGIN:VEVENT SUMMARY:JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINARS - On the Calabi flow. DTSTART;VALUE=DATE-TIME:20101209T153000Z DTEND;VALUE=DATE-TIME:20101209T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10317@ictp.it DESCRIPTION://indico.ictp.it/event/a10317/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10317/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-Workshop on Logic\, Computability and Dynamical Systems - Int roduction to Computability in Dynamics. DTSTART;VALUE=DATE-TIME:20101209T130000Z DTEND;VALUE=DATE-TIME:20101209T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10320@ictp.it DESCRIPTION:According to Turing\, a real number x is computable if there e xists an algorithm which\, upon input n\, produces a rational number at di stance no more than 2^-n from x. This notion has been extended to treat c omputability of infinite objects over general metric spaces\, and given ri se to the theory of Computable Analysis. In this talk we will introduce th ese abstract notions of computability\, and will illustrate them via some examples taken from the theory of dynamical systems: invariant sets\, in variant measures and generic points.\n\n//indico.ictp.it/event/a10320/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10320/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-Workshop on Logic\, Computability and Dynamical Systems - Fin ite Resolution Dynamics DTSTART;VALUE=DATE-TIME:20101209T141500Z DTEND;VALUE=DATE-TIME:20101209T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10321@ictp.it DESCRIPTION:We develop a new mathematical model for describing a dynamical system at limited resolution (or finite scale)\, and we give precise mean ing to the notion of a dynamical system having some property at finite res olution. Open covers are used to approximate the topology of the phase spa ce in a finite way\, and the dynamical system is represented by means of a combinatorial multivalued map. We formulate notions of transitivity and m ixing in the finite resolution setting in a computable and consistent way. Moreover\, we formulate equivalent conditions for these properties in ter ms of graphs\, and provide effective algorithms for their verification. As an application we show that the H'enon attractor is mixing at all resolut ions coarser than 10^-5.\n\n//indico.ictp.it/event/a10321/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10321/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-Workshop on Logic\, Computability and Dynamical Systems - The automorphism group of product logic. DTSTART;VALUE=DATE-TIME:20101210T093000Z DTEND;VALUE=DATE-TIME:20101210T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10322@ictp.it DESCRIPTION:Product logic is a many-valued propositional logic whose set o f truth-values is the half-open interval (0\,1]\, and whose conjunction co nnective is ordinary multiplication. As an equational theory\, it has free structures\, and it turns out that the automorphism groups of these struc tures have a rich and interesting dynamics. We survey a few results in thi s area\, and discuss some open problems.\n\n//indico.ictp.it/event/a10322/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10322/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-Workshop on Logic\, Computability and Dynamical Systems - Log arithm laws and decay of correlations in dynamical systems. DTSTART;VALUE=DATE-TIME:20101210T104500Z DTEND;VALUE=DATE-TIME:20101210T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10323@ictp.it DESCRIPTION:We will consider the behavior of the time which is needed for a typical point to enter in a sequence of decreasing targets. In several s ystems this time increases (having the same scaling behavior) as the inver se of the measure of the targets. We will see that a general condition for this to happen is superpolynomial decay of correlations. We will also see some applications\, on the geometric Lorenz flow and geodesic flows in va riable negative curvature. On the other side there are translations of the torus having particular arithmetical properties where the time needed to enter in a given sequence of balls increases much faster than the inverse of the ball’s measure. By a construction of Fayad\, moreover we can also show smooth\, mixing examples of the same kind.\n\n//indico.ictp.it/event /a10323/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a10323/ END:VEVENT BEGIN:VEVENT SUMMARY:Complexification and tensor products of Banach spaces: an isometri c result for the projective tensor norm. DTSTART;VALUE=DATE-TIME:20101214T093000Z DTEND;VALUE=DATE-TIME:20101214T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a10328@ictp.it DESCRIPTION:Finding the "complexification" of a real vector space is trivi al\; essentially the same as obtaining the complex numbers from the real n umbers. However\, when complexifying a real Banach space\, there are a ran ge of choices\, for a norm that fits in naturally with the norm of the rea l Banach space. In this talk it is proved that one of these choices has a property that one expects\, namely that the complexification of the projec tive tensor product of any two real Banach spaces is isometrically isomorp hic to the projective tensor product of their complexifications.\n\n//indi co.ictp.it/event/a10328/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a10328/ END:VEVENT BEGIN:VEVENT SUMMARY:Extremal problems on configuration spaces of linkages DTSTART;VALUE=DATE-TIME:20110128T133000Z DTEND;VALUE=DATE-TIME:20110128T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1112@ictp.it DESCRIPTION:We will be concerned with the critical points of the oriented volume and Coulomb potential on configuration spaces of mechanical linkage s. The case of a planar polygonal linkage will be considered in some detai l. It will be shown that the critical points of the oriented area are give n by the cyclic configurations and the \ncritical values can be calculated using formulae of Heron-Brahmagupta type.\nSimilar issues will be address ed in the case of Coulomb potential.\nPossible generalizations of these re sults for tensegrity linkages will be also outlined.\n\n//indico.ictp.it/e vent/a1112/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1112/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - Vector Fields whose linearisation is Hurwitz almost everywhere. DTSTART;VALUE=DATE-TIME:20110201T130000Z DTEND;VALUE=DATE-TIME:20110201T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1114@ictp.it DESCRIPTION:A real matrix is Hurwitz if its eigenvalues have negative real parts. The talk is about the following generalisation of the Bidimensiona l Global Asymptotic Stability Problem (BGAS): Let X be a C1 planar vector field whose derivative DX(p) is Hurwitz for almost all point p in the plan e. Then the singularity set of X\, Sing(X)\, is either an emptyset\, a one -point set or a non-discrete set. Moreover\, if Sing(X) contains a hyperbo lic singularity then X is topologically equivalent to the radial vector fi eld (x\,y)->(-x\,-y). This generalises BGAS to the case in which the vecto r field is not necessarily a local diffeomorphism. Joint work with Roland Rabanal.\n\n//indico.ictp.it/event/a1114/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1114/ END:VEVENT BEGIN:VEVENT SUMMARY:JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINARS - Translating soliton s for symplectic mean curvature flow DTSTART;VALUE=DATE-TIME:20110209T133000Z DTEND;VALUE=DATE-TIME:20110209T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1117@ictp.it DESCRIPTION://indico.ictp.it/event/a1117/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1117/ END:VEVENT BEGIN:VEVENT SUMMARY:Some mathematical problems in the dynamics of stochastic second-gr ade fluids DTSTART;VALUE=DATE-TIME:20110218T133000Z DTEND;VALUE=DATE-TIME:20110218T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1132@ictp.it DESCRIPTION:Abstract:\nWe investigate the stochastic equation for the moti on of a second grade fluid filling a bounded (or periodic) domain of R2. G lobal existence of probabilistic weak solutions (and weak in the sense of partial differential equations) is expounded. We are also able to prove th e pathwise uniqueness of solution. The two results yield the unique existe nce of probabilistic strong solution. On this basis we show that under sui table conditions on the data we can construct a sequence of solutions of t he stochastic second grade fluid that converges to the probabilistic weak solution of the stochastic Navier-Stokes equations when the physical param eter α tends to zero. This is a joint work with Prof Mamadou Sango (Depar tment of Mathematics and Applied Mathematics\, University of Pretoria).\n\ n//indico.ictp.it/event/a1132/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1132/ END:VEVENT BEGIN:VEVENT SUMMARY:JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINARS - Generic mean curvat ure flow after Colding and Minicozzi DTSTART;VALUE=DATE-TIME:20110223T133000Z DTEND;VALUE=DATE-TIME:20110223T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1136@ictp.it DESCRIPTION://indico.ictp.it/event/a1136/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1136/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - On local diffeomorphisms that are inj ective. DTSTART;VALUE=DATE-TIME:20110224T140000Z DTEND;VALUE=DATE-TIME:20110224T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1118@ictp.it DESCRIPTION:In this talk\, we describe conditions under which maps from th e euclidean space to itself are globally injective. In particular\, we s how some partial results related to the weak Markus-Yamabe conjecture\, wh ich states that if a vector field X: R^n →^Rn has the property that\, f or all p in R^n\, all the eigenvalues of DX(p) have negative real part\, t hen X has at most one singularity. We will give special attention to the p lanar maps.\n\n//indico.ictp.it/event/a1118/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1118/ END:VEVENT BEGIN:VEVENT SUMMARY:On the Bounded Isometry Conjecture DTSTART;VALUE=DATE-TIME:20110225T133000Z DTEND;VALUE=DATE-TIME:20110225T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1133@ictp.it DESCRIPTION:Abstract:\nF. Lalonde and L. Polterovich study the isometries of the group of Hamiltonian diffeomorphisms with respect to the Hofer metr ic. They defined a symplectic diffeomorphism ψ to be bounded\, if the Hof er norm of [ψ\, h] remains bounded as h varies on Ham(M\, ω). The set of bounded symplectic diffeomorphisms\, BI0 (M)\, of (M\, ω) is a group tha t contains all Hamiltonian diffeomorphisms.\nThey conjectured that these t wo groups are equal\, Ham(M\, ω) = BI0 (M\, ω) for every closed symplect ic manifold. They prove this conjecture in the case when the symplectic ma nifold is a product of closed surfaces of positive genus. In this talk we give an outline of a new class of manifolds for which bounded isometry con jecture holds.\n\n//indico.ictp.it/event/a1133/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1133/ END:VEVENT BEGIN:VEVENT SUMMARY:JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINARS - On the convergence of the Calabi flow. DTSTART;VALUE=DATE-TIME:20110301T130000Z DTEND;VALUE=DATE-TIME:20110301T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1139@ictp.it DESCRIPTION://indico.ictp.it/event/a1139/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1139/ END:VEVENT BEGIN:VEVENT SUMMARY:JOINT ICTP/SISSA GEOMTRIC ANALYSIS SEMINARS - On the convergence o f the Pseudo-Calabi flow. DTSTART;VALUE=DATE-TIME:20110307T140000Z DTEND;VALUE=DATE-TIME:20110307T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1147@ictp.it DESCRIPTION://indico.ictp.it/event/a1147/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1147/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - Skew products with interval fiber DTSTART;VALUE=DATE-TIME:20110316T140000Z DTEND;VALUE=DATE-TIME:20110316T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1149@ictp.it DESCRIPTION:Skew products over topological Markov chains naturally appear when one attempts to apply the methods of classical dynamical systems to r andom dynamical systems. There is also a close connection between these sk ew products and partially hyperbolic dynamical systems on smooth manifolds .\n\nEven for the fiber dimension equal to one\, we are far from understan ding what "typical" skew products look like. During the last 30 years ther e appeared several papers studying the skew products with a circle fiber. I will talk about the case when the fiber is an interval\, and fiber maps are orientation-preserving diffeomorphisms.\n\nIn the work joint with V.Kl eptsyn\, we developed a theorem which gives us a complete* description of the dynamics of typical step skew products (fiber map depends only on a si ngle symbol in the base sequence). For generic skew products\, we obtained a similar result using an additional assumption of partial-hyperbolic nat ure.\n\n*except some subset which projects onto zero measure set in the ba se\n\n//indico.ictp.it/event/a1149/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1149/ END:VEVENT BEGIN:VEVENT SUMMARY:Closed invariant subspaces in some Banach spaces of analytic funct ions. DTSTART;VALUE=DATE-TIME:20110324T140000Z DTEND;VALUE=DATE-TIME:20110324T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1158@ictp.it DESCRIPTION:We discuss different methods that allow to describe the closed invariant subspaces in some Banach\nspaces of analytic functions. Especia lly\, duality method\,\nBeurling-Carleman-Domar resolvent method\nand Kore nblum's method are considered.\n\n//indico.ictp.it/event/a1158/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1158/ END:VEVENT BEGIN:VEVENT SUMMARY:Stanley decompositions in localized polynomial rings DTSTART;VALUE=DATE-TIME:20110406T133000Z DTEND;VALUE=DATE-TIME:20110406T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1161@ictp.it DESCRIPTION:Abstract:\nLet K be a field\, S=K[x1\,... \,xn] be the polynom ial ring in n variables over K. We introduce the concept of Stanley decomp ositions in the localized polynomial ring Sf where f is a product of vari ables\, and we show that the Stanley depth does not decrease upon localiza tion. Furthermore it is shown that for monomial ideals J ⊂ I ⊂ Sf the number of maximal Stanley spaces in a Stanley decomposition of I /J is an invariant of I /J. For the proof of this result we introduce Hilbert serie s for multigraded K-vector spaces.\n\n//indico.ictp.it/event/a1161/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1161/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - Suppression of anomalous diffusion in even dimensions DTSTART;VALUE=DATE-TIME:20110420T133000Z DTEND;VALUE=DATE-TIME:20110420T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1183@ictp.it DESCRIPTION:It is known that weakly chaotic dynamics\, such as the type ge nerated by Pomeau-Manneville intermittency maps\, may lead to anomalous di ffusion (Levy processes). I will describe work in progress with Georg Got twald indicating that when analysed in the context of systems with Euclide an E(n) symmetry\, typically the anomalous diffusion persists if and only if n is odd.\nIn even dimensions\, the anomalous diffusion is typically su ppressed and replaced by Brownian motion.\n\n//indico.ictp.it/event/a1183/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1183/ END:VEVENT BEGIN:VEVENT SUMMARY:Towards a sharp Schwarz Lemma for the spectral unit ball DTSTART;VALUE=DATE-TIME:20110428T140000Z DTEND;VALUE=DATE-TIME:20110428T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1185@ictp.it DESCRIPTION:The spectral unit ball of dimension n^2 is the set of all n\\t imes n matrices having spectral radius less than 1. This object is of some prominence in linear control-theory circles because the Pick-Nevanlinna i nterpolation problem on it is very challenging. A first step in solving th is problem would be to solve the 2-point problem\, i.e. to produce a Schwa rz lemma for the spectral unit ball. This is hard because the spectral uni t ball is non-homogeneous when n>1\, but there have been some recent resul ts which we shall discuss. The complex geometry of the spectral unit ball in n^2 (n>1) is interesting because GL(n\,C) acts non-trivially on it by c onjugation. We shall discuss how this feature points to the prospect of a sharp Schwarz lemma.\n\n//indico.ictp.it/event/a1185/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1185/ END:VEVENT BEGIN:VEVENT SUMMARY:JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINAR - On the area of the g raph of a singular map from the plane to the plane taking three values. DTSTART;VALUE=DATE-TIME:20110505T140000Z DTEND;VALUE=DATE-TIME:20110505T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1192@ictp.it DESCRIPTION:We are interested in understanding what is the area of the gra ph of a map u with vector values (in particular\, from the plane to the pl ane) in the case when u is discontinuous. We will concentrate on a very s pecial case\, of a function u taking three vectors (at the vertices of an equilateral triangle) and jumping on a triple junction with angles at 120 degrees. This problem\, related to a question posed by De Giorgi several years ago\, is strictly related to minimal surfaces with codimension two.\ n\n//indico.ictp.it/event/a1192/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1192/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR - On a universal structure theorem for the chi_y genus and the divisibility of Chern numbers. DTSTART;VALUE=DATE-TIME:20110506T133000Z DTEND;VALUE=DATE-TIME:20110506T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1194@ictp.it DESCRIPTION:In this talk I present a structure theorem for the Hirzebruch chi_y genus together with a calculation of some of the terms that appear i n the theorem. This leads to some divisibility results for Chern numbers.\ n\n//indico.ictp.it/event/a1194/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1194/ END:VEVENT BEGIN:VEVENT SUMMARY:JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINAR - Normalized Ricci flo w on asymptotic hyperbolic manifolds DTSTART;VALUE=DATE-TIME:20110512T140000Z DTEND;VALUE=DATE-TIME:20110512T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11101@ictp.it DESCRIPTION://indico.ictp.it/event/a11101/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11101/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-WORKSHOP ON CIRCLE MAPS - Introduction to dynamics of circle homeomorphisms DTSTART;VALUE=DATE-TIME:20110513T133000Z DTEND;VALUE=DATE-TIME:20110513T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11102@ictp.it DESCRIPTION://indico.ictp.it/event/a11102/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11102/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-WORKSHOP ON CIRCLE MAPS - Invariant measures for circle maps with breaks DTSTART;VALUE=DATE-TIME:20110513T143000Z DTEND;VALUE=DATE-TIME:20110513T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11103@ictp.it DESCRIPTION://indico.ictp.it/event/a11103/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11103/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-WORKSHOP ON CIRCLE MAPS - Regularity of conjugacies between c ircle maps with breaks and rigid rotations DTSTART;VALUE=DATE-TIME:20110513T153000Z DTEND;VALUE=DATE-TIME:20110513T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11104@ictp.it DESCRIPTION://indico.ictp.it/event/a11104/ LOCATION:ICTP URL://indico.ictp.it/event/a11104/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - Renormalization and rigidity in circl e dynamics DTSTART;VALUE=DATE-TIME:20110517T133000Z DTEND;VALUE=DATE-TIME:20110517T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11107@ictp.it DESCRIPTION:We shall discuss renormalization theory in the setting of circ le dynamics. We plan to present the results in the cases of diffeomorphism s\, critical circle maps\, and maps with breaks. The relation between hype rbolicity of renormalizations and rigidity theory will be also explained.\ n\n//indico.ictp.it/event/a11107/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11107/ END:VEVENT BEGIN:VEVENT SUMMARY:Positivity and principal eigenvalue problems with applications DTSTART;VALUE=DATE-TIME:20110524T133000Z DTEND;VALUE=DATE-TIME:20110524T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11108@ictp.it DESCRIPTION:The talk will stress the methods of positive operators by givi ng a brief survey of the scope of applications of the Krein-Rutman theorem with some of its recent variants.\n\nIt is worth noticing that the Krein- Rutman theorem (as well as its linear or nonlinear variants) extend the we ll-known Perron-Frobenius theorem and is a fundamental tool in the study o f positive eigenvalue problems with invaluable applications in Mathematica l Analysis (e.g.\, Partial Differential Equations\, Bifurcation Theory\, O ptimization\, Order-preserving Dynamical Systems\, Stability Theory).\n\n/ /indico.ictp.it/event/a11108/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11108/ END:VEVENT BEGIN:VEVENT SUMMARY:Balanced metrics on Kahler manifolds DTSTART;VALUE=DATE-TIME:20110526T140000Z DTEND;VALUE=DATE-TIME:20110526T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11111@ictp.it DESCRIPTION:\n * ACTIVITY CANCELLED *\n\n//indico.ictp.it/event/a11111/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11111/ END:VEVENT BEGIN:VEVENT SUMMARY:Vector bundles over elliptic fibrations DTSTART;VALUE=DATE-TIME:20110603T133000Z DTEND;VALUE=DATE-TIME:20110603T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11114@ictp.it DESCRIPTION:Abstract: We describe moduli spaces of semi-stable vector bund les on non-Kaehler elliptic complex surfaces and on non-Kaehler principal elliptic bundles\, which are Calabi-Yau type 3-folds.\n\nThe main technica l tools used are twisted Fourier-Mukai transform and a spectral cover cons truction. (Joint works with R. Moraru\, A. Halaney and G. Trautmann).\n\n/ /indico.ictp.it/event/a11114/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11114/ END:VEVENT BEGIN:VEVENT SUMMARY:"How do Calabi-Yau manifolds degenerate?" DTSTART;VALUE=DATE-TIME:20110603T090000Z DTEND;VALUE=DATE-TIME:20110603T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11116@ictp.it DESCRIPTION:Abstract: A Calabi-Yau manifold is a compact Kahler manifold w ith vanishing first Chern class. Yau's solution of the Calabi Conjecture i mplies that Calabi-Yau manifolds admit Ricci-flat Kahler metrics\, which i n most cases are not explicit. We will address the problem of understandin g how these Ricci-flat metrics can degenerate\, when the complex structure is fixed.\n\n//indico.ictp.it/event/a11116/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11116/ END:VEVENT BEGIN:VEVENT SUMMARY:The curvature revisited DTSTART;VALUE=DATE-TIME:20110614T133000Z DTEND;VALUE=DATE-TIME:20110614T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11115@ictp.it DESCRIPTION:Abstract: I'll explain how to define the curvature of variatio nal problems including those with nonholonomic constraints. Classical Riem annian curvature comes as a very special case. I'll give more details and some applications for the 3D sub Riemannian problem that is the length min imization problem on the space of Legendrian curves on a contact manifold. \n\n//indico.ictp.it/event/a11115/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11115/ END:VEVENT BEGIN:VEVENT SUMMARY:Variational methods for strongly indefinite problems DTSTART;VALUE=DATE-TIME:20110624T133000Z DTEND;VALUE=DATE-TIME:20110624T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11123@ictp.it DESCRIPTION://indico.ictp.it/event/a11123/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11123/ END:VEVENT BEGIN:VEVENT SUMMARY:On a fourth-order elliptic problem without the Palais-smale condit ion DTSTART;VALUE=DATE-TIME:20110624T150000Z DTEND;VALUE=DATE-TIME:20110624T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11124@ictp.it DESCRIPTION://indico.ictp.it/event/a11124/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11124/ END:VEVENT BEGIN:VEVENT SUMMARY:MATHEMATICS INFORMAL SEMINAR - Hermite-Einstein metrics on vector bundles DTSTART;VALUE=DATE-TIME:20110627T133000Z DTEND;VALUE=DATE-TIME:20110627T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11129@ictp.it DESCRIPTION://indico.ictp.it/event/a11129/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11129/ END:VEVENT BEGIN:VEVENT SUMMARY:Twisted doubles and nonpositive curvature DTSTART;VALUE=DATE-TIME:20110628T133000Z DTEND;VALUE=DATE-TIME:20110628T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11130@ictp.it DESCRIPTION://indico.ictp.it/event/a11130/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11130/ END:VEVENT BEGIN:VEVENT SUMMARY:Meeting on Differentiable Dynamics DTSTART;VALUE=DATE-TIME:20110704T073000Z DTEND;VALUE=DATE-TIME:20110715T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1174@ictp.it DESCRIPTION:Objectives:\nThe objective of the meeting is to gather doctora l students\, postdocs and young researchers of different nationalities to attend minicourses and work on some defined topics in differentiable dynam ics at ICTP.\n\nMinicourses:\n\n1. Thierry Barbot (Université d'Avignon) : Algebraic aspects of Anosov systems\n\n2. Sylvain Crovisier (Paris 13 - France): Perturbation of the dynamics of C1 diffeomorphisms\n\n3. Sergey T hikhomirov (Freie Universitat Berlin): On Shadowing properties of differen tiable dynamics\n\n4. Ali Tahzibi (University of São Paulo at São Carlos ): Ergodicity of smooth measures.\n\nTasks:\n1. The participants will att end all minicourses and work in small groups during the meeting following the schedule below.\n2. The students will present posters on their thesis projects.\n3. Finally the groups will report their works during 2 weeks fo r all the participants.\n\nGroups:\nParticipants will be divided (not a pa rtition!) into the following groups:\n\nGa: Group working on Partially hyp erbolic dynamics\, absolute continuity of foliations and Lyapunov exponent s\nGb: Group working on Iterated function systems and Lyapunov exponents\n Gc: Group working on Shadowing lemmas\nGd: Group working on C1 generic dyn amics\nGe: Group working on Anosov flows\n\n//indico.ictp.it/event/a1174/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a1174/ END:VEVENT BEGIN:VEVENT SUMMARY:Characteristic p techniques related to the Jacobian conjecture. DTSTART;VALUE=DATE-TIME:20110705T133000Z DTEND;VALUE=DATE-TIME:20110705T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11132@ictp.it DESCRIPTION:We will survey recent characteristic p techniques that have ap peared in relation to the Jacobian conjecture especially related to its eq uivalence (a la Kontsevich) to the Dixmier conjecture.\n\n//indico.ictp.it /event/a11132/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11132/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINARS - On versal torsors and related invari ants. DTSTART;VALUE=DATE-TIME:20110712T133000Z DTEND;VALUE=DATE-TIME:20110712T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11136@ictp.it DESCRIPTION:We first give a brief introduction to the notion of versal tor sor and essential dimension of "algebraic structure". Then we will discus s about certain versal torsors\, their essential dimensions and related co homological invariants.\n\n//indico.ictp.it/event/a11136/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11136/ END:VEVENT BEGIN:VEVENT SUMMARY:Special Mathematics Seminar - Knots and Instanton Floer Theory. DTSTART;VALUE=DATE-TIME:20110713T130000Z DTEND;VALUE=DATE-TIME:20110713T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11139@ictp.it DESCRIPTION://indico.ictp.it/event/a11139/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a11139/ END:VEVENT BEGIN:VEVENT SUMMARY:Lagrangian correspondences in symplectic topology DTSTART;VALUE=DATE-TIME:20110719T133000Z DTEND;VALUE=DATE-TIME:20110719T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11149@ictp.it DESCRIPTION:I'll give an overview of Lagrangian Intersection Floer homolog y\, and its extension to Fukaya's A-infinity categories. These are the ba sis for the symplectic side of Kontsevich's Homological Mirror Symmetry co njecture relating the algebraic geometry and symplectic geometry of mirror pairs of Calabi-Yau manifolds. The constructions are defined by counts o f pseudoholomorphic curves in a symplectic manifold\, with Lagrangian subm anifolds as boundary conditions. The recent pseudoholomorphic quilt theor y of Wehrheim and Woodward incorporates Lagrangian correspondences as addi tional boundary conditions\, so that pseudoholomorphic quilts transition b etween pseudoholomorphic curves in one symplectic manifold to pseudoholomo rphic curves in another. I will explain how this leads to constructions o f A-infinity bimodules associated to Lagrangian correspondences\, and an e nhancement to A-infinity functors. These may be viewed as symplectic anal ogues of Fourier-Mukai transforms in algebraic geometry. Joint work with Wehrheim and Woodward.\n\n//indico.ictp.it/event/a11149/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11149/ END:VEVENT BEGIN:VEVENT SUMMARY:Metric Geometry and Topology of Complex Surface Singularities DTSTART;VALUE=DATE-TIME:20110722T133000Z DTEND;VALUE=DATE-TIME:20110722T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11217@ictp.it DESCRIPTION:I am going to describe a decomposition of a germ of a complex algebraic surface near an isolated singular point\, such that this decompo sition gives a complete invariant of this germ with respect to local bi-Li pschitz homeomorphisms. This decomposition is related to JSJ Decompositi on of the link of this singularity\, considered as a smooth 3-manifold. T he construction uses the carousel decomposition of neighborhoods of comple x algebraic curves\, constructed by Le Dung Trang. It is a joint work wit h Walter Neumann and Anne Pichon.\n\n//indico.ictp.it/event/a11217/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11217/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR - Cremona groups DTSTART;VALUE=DATE-TIME:20110824T133000Z DTEND;VALUE=DATE-TIME:20110824T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11231@ictp.it DESCRIPTION://indico.ictp.it/event/a11231/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11231/ END:VEVENT BEGIN:VEVENT SUMMARY:On some classes of shape optimization problems of higher codimensi ons DTSTART;VALUE=DATE-TIME:20110902T133000Z DTEND;VALUE=DATE-TIME:20110902T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11240@ictp.it DESCRIPTION://indico.ictp.it/event/a11240/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11240/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - Stability of linear switched systems DTSTART;VALUE=DATE-TIME:20110926T140000Z DTEND;VALUE=DATE-TIME:20110926T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11257@ictp.it DESCRIPTION://indico.ictp.it/event/a11257/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11257/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - Singular invariant measures of circle homeomorphisms with break points. DTSTART;VALUE=DATE-TIME:20110926T150000Z DTEND;VALUE=DATE-TIME:20110926T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11258@ictp.it DESCRIPTION://indico.ictp.it/event/a11258/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11258/ END:VEVENT BEGIN:VEVENT SUMMARY:A suitable notion of octonionic spinor. DTSTART;VALUE=DATE-TIME:20110928T133000Z DTEND;VALUE=DATE-TIME:20110928T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11259@ictp.it DESCRIPTION:We explore the geometry of manifolds admitting a spin structur e with a "Spin(7) twist" carrying a parallel spinor field.\n\n//indico.ict p.it/event/a11259/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11259/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - A simple approach to rigorous approxi mation of invariant measures DTSTART;VALUE=DATE-TIME:20111007T143000Z DTEND;VALUE=DATE-TIME:20111007T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11268@ictp.it DESCRIPTION:Piecewise expanding maps of the interval are one of the simple st examples of chaotic behaviour in dynamics\; in 1973 Lasota and Yorke pr oved that these maps admit a finite set of ergodic absolutely continuous i nvariant measures.\n\nIn this joint work with Stefano Galatolo we implemen t a numerical algorithm that\, using a discretization of the transfer oper ator\, permits us to compute the invariant measure for a topologically tra nsitive expanding map of the interval rigorously\, thanks to a spectral st ability result by Liverani.\n\nIn this seminar I want to give an overview of the tecniques and the results we use\, to show the main ideas which lie behind our work.\n\n//indico.ictp.it/event/a11268/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11268/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - An introduction to Expansive systems (POSTPONED - date to be announced) DTSTART;VALUE=DATE-TIME:20111007T153000Z DTEND;VALUE=DATE-TIME:20111007T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11269@ictp.it DESCRIPTION:Expansive systems are dynamical systems which share many of th e topological features of hyperbolic systems but can be defined and studie d in the much more general setting of metric spaces rather than Riemannian manifolds. In this talk I will give the basic definitions and results of the theory. Additional talks may be given over the next couple of weeks fo rming an introductory mini-course on the subject.\n\n//indico.ictp.it/even t/a11269/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11269/ END:VEVENT BEGIN:VEVENT SUMMARY:On extension and refinement of the Poincare' inequality DTSTART;VALUE=DATE-TIME:20111012T133000Z DTEND;VALUE=DATE-TIME:20111012T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11270@ictp.it DESCRIPTION://indico.ictp.it/event/a11270/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11270/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS - Decay of correlations for fiber contr acting maps. DTSTART;VALUE=DATE-TIME:20111013T140000Z DTEND;VALUE=DATE-TIME:20111013T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11273@ictp.it DESCRIPTION:We shall discuss a class of fiber contracting maps on the squa re that contains the first return map of a Lorenz-like flow. We prove that this class of maps has exponential decay of correlations. We apply this r esult to get a log law for the hitting time associated of a Lorenz-like fl ow.\n\n//indico.ictp.it/event/a11273/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11273/ END:VEVENT BEGIN:VEVENT SUMMARY:Boundedness problem with maximal operators associated with hypersu rfaces and related oscillatory integrals.\n(Joint research with D. Mueller and M. Kempe) DTSTART;VALUE=DATE-TIME:20111025T143000Z DTEND;VALUE=DATE-TIME:20111025T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11281@ictp.it DESCRIPTION:It is well-known results proved by E.M. Stein (1976 for the ca se $n\\ge3$) and J. Bourgain (1985 for the case $n=2$) that the spherical maximal operator is bounded on $L^p({\\Bbb R}^n)$ if and only if $p>n/(n-1 )$. Further\, the bounded-ness problem had been considered by many authors for more general hypersurfaces. The problem is connected to the geometric properties of the surface.\nThere is still the open conjecture of E.M. St ein about connection between the decay rate of the associated oscillatory integrals and the exponent $p$ such that the maximal operator is bounded o n $L^p({\\Bbb R}^n)$. Following A.N. Varchenko we introduce notion of "hei ght" of hyper-surface at a point. This notion allows us to obtain the shar p exponent of boundedness for the maximal operator defined by any smooth h ypersurface in $L^p({\\Bbb R}3)$.\nIn particular\, we get a confirmation o f the E.M. Stein conjecture for arbitrary two-dimensional smooth hypersurf aces. In the talk we also give some estimates for related oscillatory inte grals with smooth phase functions.\n\n//indico.ictp.it/event/a11281/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11281/ END:VEVENT BEGIN:VEVENT SUMMARY:On spectrum and arithmetic: analogies\, speculations and some evid ence. DTSTART;VALUE=DATE-TIME:20111027T140000Z DTEND;VALUE=DATE-TIME:20111027T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11284@ictp.it DESCRIPTION:I will sketch some classical analogies between the spectrum of Laplace type operators associated to Riemannian manifolds and the arithme tic of varieties defined over number fields. I will speculate that the sp ectrum and arithmetic should mutually determine each other\, provided we d eal with 'canonical objects' on both sides. Finally I will give some evid ence supporting such wild speculations. Towards the end\, I will present some results on spectral analogues of the classical multiplicity one theor ems for modular forms.\n\n//indico.ictp.it/event/a11284/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11284/ END:VEVENT BEGIN:VEVENT SUMMARY:Lehmer conjecture and an improved lower bound for abelian height. DTSTART;VALUE=DATE-TIME:20111103T140000Z DTEND;VALUE=DATE-TIME:20111103T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11286@ictp.it DESCRIPTION:Here we will introduce Mahler measure of Polynomials (and/or a lgebraic numbers) and Lehmer's Problem (known as Lehmer Conjecture). Then we will see some recent results toward lehmer problem and equivelent forms of lehmer problem\, specially lehmer problem in terms of (logarithmic Wei l height) heights of algebraic numbers. Also we will show an improved resu lt of F. Amoroso (University of Torino\, Italy) and R. Dvornicich (Univers ity of Pisa\, Italy)\, of abelian height. Finally some interesting directi ons towards future work.\n\n//indico.ictp.it/event/a11286/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11286/ END:VEVENT BEGIN:VEVENT SUMMARY:Family of linear spaces and reconstruction of curves DTSTART;VALUE=DATE-TIME:20111104T133000Z DTEND;VALUE=DATE-TIME:20111104T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11290@ictp.it DESCRIPTION:Abstract:\n\nIn this lecture by using focal loci techniques we give a reconstruction for general curves of genus 6 and 8. To do this we prove that the focal variety is a hyper surface in the genus 6 case. Moreo ver we will speak about the connection of these constructions with the Shu ttky problem.\n\n//indico.ictp.it/event/a11290/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11290/ END:VEVENT BEGIN:VEVENT SUMMARY:Poincare' Sobolev equations in the Hyperbolic space DTSTART;VALUE=DATE-TIME:20111109T133000Z DTEND;VALUE=DATE-TIME:20111109T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11291@ictp.it DESCRIPTION://indico.ictp.it/event/a11291/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11291/ END:VEVENT BEGIN:VEVENT SUMMARY:Frames and semi-frames in mathematical analysis and signal process ing DTSTART;VALUE=DATE-TIME:20111219T104500Z DTEND;VALUE=DATE-TIME:20111219T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a11321@ictp.it DESCRIPTION://indico.ictp.it/event/a11321/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a11321/ END:VEVENT BEGIN:VEVENT SUMMARY:On the uniqueness of extremal Kaehler metrics DTSTART;VALUE=DATE-TIME:20120119T140000Z DTEND;VALUE=DATE-TIME:20120119T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a126@ictp.it DESCRIPTION://indico.ictp.it/event/a126/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a126/ END:VEVENT BEGIN:VEVENT SUMMARY:GEOMETRIC ANALYSIS SEMINAR - Applications of singularity exponents in Kaehler geometry DTSTART;VALUE=DATE-TIME:20120126T133000Z DTEND;VALUE=DATE-TIME:20120126T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1213@ictp.it DESCRIPTION://indico.ictp.it/event/a1213/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1213/ END:VEVENT BEGIN:VEVENT SUMMARY:The Kneser-Tits problem for a form of E8 DTSTART;VALUE=DATE-TIME:20120201T133000Z DTEND;VALUE=DATE-TIME:20120201T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1217@ictp.it DESCRIPTION://indico.ictp.it/event/a1217/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1217/ END:VEVENT BEGIN:VEVENT SUMMARY:A sharp lower bound for the log canonical threshold DTSTART;VALUE=DATE-TIME:20120210T133000Z DTEND;VALUE=DATE-TIME:20120210T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1218@ictp.it DESCRIPTION://indico.ictp.it/event/a1218/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1218/ END:VEVENT BEGIN:VEVENT SUMMARY:Algebraic and geometric intersection numbers for free groups DTSTART;VALUE=DATE-TIME:20120214T133000Z DTEND;VALUE=DATE-TIME:20120214T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1234@ictp.it DESCRIPTION:We shall discuss Scott-Swarup intersection number for the spli ttings of a free group of rank n and the geometric intersection number fo r the embedded spheres in a 3-manifold with fundamental group a free group of rank n. We shall show that these intersection numbers coincide.\n\n// indico.ictp.it/event/a1234/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1234/ END:VEVENT BEGIN:VEVENT SUMMARY:Existence of hypersurfaces with large constant mean curvature and free boundaries DTSTART;VALUE=DATE-TIME:20120222T133000Z DTEND;VALUE=DATE-TIME:20120222T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1245@ictp.it DESCRIPTION://indico.ictp.it/event/a1245/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1245/ END:VEVENT BEGIN:VEVENT SUMMARY:Braid groups in complex projective spaces DTSTART;VALUE=DATE-TIME:20120306T133000Z DTEND;VALUE=DATE-TIME:20120306T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1262@ictp.it DESCRIPTION:We consider ordered or unordered k−tuplets of distinct point s in CP^n which generate subspaces of fixed dimension i\, and we compute t he fundamental groups of the configuration spaces formed by these k−tupl ets. We apply these to study connectivity of more complicated configuratio ns of points.\n\n//indico.ictp.it/event/a1262/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1262/ END:VEVENT BEGIN:VEVENT SUMMARY:Hyperkahler Geometry\, Quaternionic isometries and the Legendre\nt ransform DTSTART;VALUE=DATE-TIME:20120314T133000Z DTEND;VALUE=DATE-TIME:20120314T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1274@ictp.it DESCRIPTION://indico.ictp.it/event/a1274/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1274/ END:VEVENT BEGIN:VEVENT SUMMARY:Bounds on factors in Z[X] DTSTART;VALUE=DATE-TIME:20120320T133000Z DTEND;VALUE=DATE-TIME:20120320T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1277@ictp.it DESCRIPTION://indico.ictp.it/event/a1277/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1277/ END:VEVENT BEGIN:VEVENT SUMMARY:Informal Geometric Analysis & Complex Differential Geometry Semina r - Overview of symplectic mean curvature flow. DTSTART;VALUE=DATE-TIME:20120322T103000Z DTEND;VALUE=DATE-TIME:20120322T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1287@ictp.it DESCRIPTION://indico.ictp.it/event/a1287/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a1287/ END:VEVENT BEGIN:VEVENT SUMMARY:Non-linear elliptic problems with dependence on the gradient and s ingular on the boundary DTSTART;VALUE=DATE-TIME:20120329T133000Z DTEND;VALUE=DATE-TIME:20120329T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1292@ictp.it DESCRIPTION://indico.ictp.it/event/a1292/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1292/ END:VEVENT BEGIN:VEVENT SUMMARY:Informal Geometric Analysis and Complex Differential Geometry Semi nar - Overview of Lagrangian mean curvature flow. DTSTART;VALUE=DATE-TIME:20120405T103000Z DTEND;VALUE=DATE-TIME:20120405T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12102@ictp.it DESCRIPTION://indico.ictp.it/event/a12102/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a12102/ END:VEVENT BEGIN:VEVENT SUMMARY:Informal Geometric Analysis and Complex Differential Geometry Semi nar - Multiplier ideal sheaves in Kahler geometry\, I. DTSTART;VALUE=DATE-TIME:20120412T103000Z DTEND;VALUE=DATE-TIME:20120412T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12103@ictp.it DESCRIPTION://indico.ictp.it/event/a12103/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a12103/ END:VEVENT BEGIN:VEVENT SUMMARY:Informal Geometric Analysis and Complex Differential Geometry Semi nar - Multiplier ideal sheaves in Kahler geometry\, II. DTSTART;VALUE=DATE-TIME:20120419T103000Z DTEND;VALUE=DATE-TIME:20120419T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12108@ictp.it DESCRIPTION://indico.ictp.it/event/a12108/ LOCATION:ICTP Leonardo da Vinci Building Oppenheimer Meeting Room URL://indico.ictp.it/event/a12108/ END:VEVENT BEGIN:VEVENT SUMMARY:Informal Geometric Analysis and Complex Differential Geometry Semi nar - Symmetry results for hypersurfaces in Complex Spaces\, I. DTSTART;VALUE=DATE-TIME:20120503T103000Z DTEND;VALUE=DATE-TIME:20120503T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12117@ictp.it DESCRIPTION:We will define the Levi Curvatures on real hypersurfaces in Ka ehler manifolds\, then we specialize on the Levi Mean Curvature. We will present some symmetry results of Alexandrov type. We will see some result s on the Hamiltonian Curvature as well.\n\n//indico.ictp.it/event/a12117/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a12117/ END:VEVENT BEGIN:VEVENT SUMMARY:Informal Geometric Analysis and Complex Differential Geometry Semi nar - Symmetry results for hypersurfaces in Complex Spaces\, II DTSTART;VALUE=DATE-TIME:20120510T103000Z DTEND;VALUE=DATE-TIME:20120510T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12118@ictp.it DESCRIPTION:We will define the Levi Curvatures on real hypersurfaces in Ka ehler manifolds\, then we specialize on the Levi Mean Curvature. We will present some symmetry results of Alexandrov type. We will see some result s on the Hamiltonian Curvature as well.\n\n//indico.ictp.it/event/a12118/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a12118/ END:VEVENT BEGIN:VEVENT SUMMARY:The obstacle problem associated with nonlinear elliptic equations in generalized Sobolev spaces. DTSTART;VALUE=DATE-TIME:20120517T140000Z DTEND;VALUE=DATE-TIME:20120517T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12124@ictp.it DESCRIPTION://indico.ictp.it/event/a12124/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12124/ END:VEVENT BEGIN:VEVENT SUMMARY:Multi-groups Epidemic Models DTSTART;VALUE=DATE-TIME:20120517T150000Z DTEND;VALUE=DATE-TIME:20120517T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12125@ictp.it DESCRIPTION://indico.ictp.it/event/a12125/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12125/ END:VEVENT BEGIN:VEVENT SUMMARY:Abelian surfaces\, Kummer surfaces and the non-Archimedean Hodge-D -conjecture DTSTART;VALUE=DATE-TIME:20120522T133000Z DTEND;VALUE=DATE-TIME:20120522T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12127@ictp.it DESCRIPTION:In this talk we use generalizations of beautiful classical geo metric constructions of Kummer and Humbert to construct new higher Chow c ycles on Abelian surfaces\, generalizing some work of Collino. These cycle s can be used to resolve a non-Archimedean version of the Hodge-D-conjectu re of Beilinson for Abelian surfaces.\n\n//indico.ictp.it/event/a12127/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12127/ END:VEVENT BEGIN:VEVENT SUMMARY:On new forms of half-integral weight DTSTART;VALUE=DATE-TIME:20120524T140000Z DTEND;VALUE=DATE-TIME:20120524T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12128@ictp.it DESCRIPTION:In this talk\, we review the development of the theory of new forms of half-integral weight.\n\n//indico.ictp.it/event/a12128/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12128/ END:VEVENT BEGIN:VEVENT SUMMARY:Informal Geometric Analysis & Complex Differential Geometry Semina r - Donaldson's theorem on cscK metrics and Chow stability (I) DTSTART;VALUE=DATE-TIME:20120524T103000Z DTEND;VALUE=DATE-TIME:20120524T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12129@ictp.it DESCRIPTION://indico.ictp.it/event/a12129/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a12129/ END:VEVENT BEGIN:VEVENT SUMMARY:Arithmetic of Calabi-Yau Manifolds DTSTART;VALUE=DATE-TIME:20120529T133000Z DTEND;VALUE=DATE-TIME:20120529T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12137@ictp.it DESCRIPTION:In this seminar I will give an introduction to the arithmetic of Calabi-Yau 3-folds. The main quantities of interest are the numbers of points of the manifold considered as a manifold over finite fields. I wi ll be concerned with the computation of these numbers and their dependence on the complex structure parameters. As we will see\, these numbers are given by expressions which involve the periods of the manifold. I will dis cuss the form of zeta function of the Dwork pencil of quintic 3-folds and\ , time permitting\, we will see what happens at singularities and speculat e about what mirror symmetry has to say about the form of the zeta functio n.\n\n//indico.ictp.it/event/a12137/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12137/ END:VEVENT BEGIN:VEVENT SUMMARY:Informal Geometric Analysis & Complex Differential Geometry Semina r - Donaldson's theorem on cscK metric and Chow stability (II) DTSTART;VALUE=DATE-TIME:20120531T103000Z DTEND;VALUE=DATE-TIME:20120531T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12130@ictp.it DESCRIPTION://indico.ictp.it/event/a12130/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a12130/ END:VEVENT BEGIN:VEVENT SUMMARY:Informal Geometric Analysis and Complex Differential Geometry Semi nar - Donaldson's theorem on cscK metrics and Chow stability\, III DTSTART;VALUE=DATE-TIME:20120607T103000Z DTEND;VALUE=DATE-TIME:20120607T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12145@ictp.it DESCRIPTION://indico.ictp.it/event/a12145/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a12145/ END:VEVENT BEGIN:VEVENT SUMMARY:MATHEMATICS SPECIAL LECTURE - Calabi-Yau Manifolds with Hodge Numb ers that are small and large.\n DTSTART;VALUE=DATE-TIME:20120614T153000Z DTEND;VALUE=DATE-TIME:20120614T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12147@ictp.it DESCRIPTION:Many examples of Calabi-Yau manifolds have been constructed. These are partially classified by the Hodge numbers (h^11\, h^21). A plot of these numbers reveals interesting structure\, for the case that the Ho dge numbers are large. I will 'explain' some of this structure in terms o f the fibration structure of the manifolds.\nAt the other end of the distr ibution\, finding manifolds with small Hodge numbers seems to be synonymou s with finding manifolds with large groups of freely acting symmetries. T hese seem to be rare. I will discuss some constructions of what may be th e simplest Calabi-Yau manifolds.\n\n//indico.ictp.it/event/a12147/ LOCATION:ICTP Leonardo da Vinci Building Main Lecture Hall URL://indico.ictp.it/event/a12147/ END:VEVENT BEGIN:VEVENT SUMMARY:Conifold Transitions for Some Complete Intersection\nCalabi-Yau Th reefolds DTSTART;VALUE=DATE-TIME:20120711T133000Z DTEND;VALUE=DATE-TIME:20120711T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12153@ictp.it DESCRIPTION:Abstract: I will expain the process of conifold transition fro m Calabi-Yau threefolds to connected sums of S^{3}X S^{3}. Following the w ork of Y. Kawamata\, G. Tian and R. Friedman\, the existence of this kind of conifold transition is reduced to the existence of pairwise disjoint is olated rational curves in these Calabi-Yau threefolds. As an example\, I w ill deal with the complete intersection Calabi-Yau threefolds in products of projective spaces.\n\n//indico.ictp.it/event/a12153/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12153/ END:VEVENT BEGIN:VEVENT SUMMARY:Linearization of ODEs: Geometric\, Complex and Conditional DTSTART;VALUE=DATE-TIME:20120810T100000Z DTEND;VALUE=DATE-TIME:20120810T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12260@ictp.it DESCRIPTION:In Lie symmetry analysis\, linearization is the conversion of a (system of) differential equations to linear form\, provided there exist s a transformation of the independent and dependent variables that can do so. Lie provided criteria for determining if and when second order scalar ODEs could be so transformed. Considerably later the methods were extended to special classes of third order scalar ODEs. Only recently was there si gnificant progress in this direction. It included the general third and fo urth order scalar ODEs and some general results were proved for nth order SCALAR ODEs about the classes of such ODES\, and some general results abou t classes of linearizable second order systems of ODEs. Many more advances have been made more recently by the use of geometry and complex analysis for the purpose. Further\, without actually linearizing the system of equa tions linearization has been used to provide their solution. In this talk these developments will be reviewed.\n\n//indico.ictp.it/event/a12260/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12260/ END:VEVENT BEGIN:VEVENT SUMMARY:Introduction to MAGMA DTSTART;VALUE=DATE-TIME:20120920T140000Z DTEND;VALUE=DATE-TIME:20120920T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12278@ictp.it DESCRIPTION:This will be an informal and basic introduction to the Magma C omputational Algebra System. Magma is a large\, well-supported software pa ckage which provides a mathematically rigorous environment for defining an d working with structures such as groups\, rings\, fields\, modules\, alge bras\, schemes\, curves\, graphs\, designs\, codes and many others. Magma also supports a number of databases designed to aid computational research in those areas of mathematics which are algebraic in nature.\n\n//indico. ictp.it/event/a12278/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12278/ END:VEVENT BEGIN:VEVENT SUMMARY:Noncommutative versions of conformal structures DTSTART;VALUE=DATE-TIME:20120925T133000Z DTEND;VALUE=DATE-TIME:20120925T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12279@ictp.it DESCRIPTION://indico.ictp.it/event/a12279/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12279/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR - Geometry of character varieties DTSTART;VALUE=DATE-TIME:20121004T140000Z DTEND;VALUE=DATE-TIME:20121004T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12286@ictp.it DESCRIPTION://indico.ictp.it/event/a12286/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12286/ END:VEVENT BEGIN:VEVENT SUMMARY:Modular Invariance and Elliptic Genera DTSTART;VALUE=DATE-TIME:20121025T140000Z DTEND;VALUE=DATE-TIME:20121025T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12297@ictp.it DESCRIPTION://indico.ictp.it/event/a12297/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12297/ END:VEVENT BEGIN:VEVENT SUMMARY:Connections between Dahmen-Micchelli spaces splines and index theo ry (I) DTSTART;VALUE=DATE-TIME:20121029T140000Z DTEND;VALUE=DATE-TIME:20121029T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12300@ictp.it DESCRIPTION://indico.ictp.it/event/a12300/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12300/ END:VEVENT BEGIN:VEVENT SUMMARY:Connections between Dahmen-Micchelli spaces splines and index theo ry (II) DTSTART;VALUE=DATE-TIME:20121031T133000Z DTEND;VALUE=DATE-TIME:20121031T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12301@ictp.it DESCRIPTION://indico.ictp.it/event/a12301/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12301/ END:VEVENT BEGIN:VEVENT SUMMARY:Discrete logarithms\, elliptic curves and cryptography DTSTART;VALUE=DATE-TIME:20121115T140000Z DTEND;VALUE=DATE-TIME:20121115T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12318@ictp.it DESCRIPTION:This is an introductory talk aimed at the non-expert. \nIndex calculus provides a relatively efficient method to compute discrete logari thms modulo a prime number $p$. This affects the security of the Diffie-H ellman key-exchange algorithm. The non-existence of an analogue of the i ndex calculus algorithm for elliptic curves gives rise to elliptic curve c ryptography.\n\n//indico.ictp.it/event/a12318/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12318/ END:VEVENT BEGIN:VEVENT SUMMARY:The Lorenz attractor and beyond DTSTART;VALUE=DATE-TIME:20121116T133000Z DTEND;VALUE=DATE-TIME:20121116T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12319@ictp.it DESCRIPTION://indico.ictp.it/event/a12319/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12319/ END:VEVENT BEGIN:VEVENT SUMMARY:Nonstable classical Algebraic K-theory DTSTART;VALUE=DATE-TIME:20121203T060000Z DTEND;VALUE=DATE-TIME:20121214T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12333@ictp.it DESCRIPTION://indico.ictp.it/event/a12333/ LOCATION:ICTP Adriatico Guest House Denardo Lecture Hall URL://indico.ictp.it/event/a12333/ END:VEVENT BEGIN:VEVENT SUMMARY:On the Mahler measure of some temper polynomials DTSTART;VALUE=DATE-TIME:20121212T133000Z DTEND;VALUE=DATE-TIME:20121212T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12341@ictp.it DESCRIPTION:I will talk on the Mahler measure of some temper polynomials\, construct the nontrivial integral element of the second K-group for cert ain tempered elliptic curves.\nI will also give a proof of Deninger's conj ecture on the Mahler measure of x+1/x+y+1/y+1 by Beilinson's regulator ma p. (This conjecture is proved by M. Rogers and W. Zudilin in 2011).\n\n// indico.ictp.it/event/a12341/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12341/ END:VEVENT BEGIN:VEVENT SUMMARY:Anomalous primes of the elliptic curve E_D : y^2 = x^3 + D DTSTART;VALUE=DATE-TIME:20121212T141500Z DTEND;VALUE=DATE-TIME:20121212T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12342@ictp.it DESCRIPTION://indico.ictp.it/event/a12342/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12342/ END:VEVENT BEGIN:VEVENT SUMMARY:Refined curve counting with tropical geometry DTSTART;VALUE=DATE-TIME:20121218T140000Z DTEND;VALUE=DATE-TIME:20121218T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a12343@ictp.it DESCRIPTION:Abstract:\nRecently\, Goettsche and Shende defined a notion of "refined Severi degree"\, replacing the degree of the Severi variety by a univariate polynomial. We give a (conjectural) interpretation of these in variants for plane curves in terms of tropical geometry: Goettsche and She nde's invariant is computed by enumeration of tropical curves\, weighted b y a new (Laurent) polynomial multiplicity. This weight specializes to Mikh alkin's 'complex' and 'real' multiplicity of tropical curves.\n\nThis is j oint work with Lothar Goettsche.\n\n//indico.ictp.it/event/a12343/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a12343/ END:VEVENT BEGIN:VEVENT SUMMARY:Partitions and modular forms DTSTART;VALUE=DATE-TIME:20130117T140000Z DTEND;VALUE=DATE-TIME:20130117T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a132@ictp.it DESCRIPTION://indico.ictp.it/event/a132/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a132/ END:VEVENT BEGIN:VEVENT SUMMARY:Stability at infinity and Hurwitz vector fields DTSTART;VALUE=DATE-TIME:20130212T133000Z DTEND;VALUE=DATE-TIME:20130212T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1336@ictp.it DESCRIPTION:Abstract:\nWe present some spectral conditions in order to des cribe the phase portrait of a planar vector field\, in a neighborhood of i nfinity. Suppose that X is a planar vector field whose linearization outsi de some compact set is Hurwitz: it admits to the origin as a linear hyperb olic attractor. Then by adding to X a constant vector\, one obtains that t he infinity is either an attractor or a repellor.\n\n//indico.ictp.it/even t/a1336/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1336/ END:VEVENT BEGIN:VEVENT SUMMARY:Restriction theorems for vector bundles on projective varieties DTSTART;VALUE=DATE-TIME:20130214T140000Z DTEND;VALUE=DATE-TIME:20130214T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1331@ictp.it DESCRIPTION:Abstract:In the early 80’s\, V. Mehta and A. Ramanathan prov ed two restriction theorems which proved to be of central importance to th e study of vector bundles in the subsequent years. The theorems roughly st ate that if X is a smooth projective variety over a field k = k with a pol arisation H and V is a vector bundle on it which is semistable (resp. stab le) w.r.t. H\, then the restriction of V to a general\, complete intersect ion curve of sufficiently high degree is again semistable (resp stable).\n I will explain these theorems in detail and sketch a proof in some special cases. If time permits some applications will also be discussed.\n\n//ind ico.ictp.it/event/a1331/ LOCATION:ICTP URL://indico.ictp.it/event/a1331/ END:VEVENT BEGIN:VEVENT SUMMARY:Multiplication laws for differential equations DTSTART;VALUE=DATE-TIME:20130215T133000Z DTEND;VALUE=DATE-TIME:20130215T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1339@ictp.it DESCRIPTION:With V. Golyshev. \n\nThis talk is an example of how some case s of Langlands' correspondence for function fields can be interpreted very classically and explicitly. Whenever we have an explicit description of Hecke operators in the Langlands setup\, we obtain some elementary identit ies between special functions. In particular\, we see how formulas of Clau sen's type and multiplication identities for Bessel functions arise this w ay. \n\nAs an application to arithmetic\, our method gives a direct corres pondence between solutions of the Dwork's accessory parameter problem as s tudied by Beukers\, and automorphic forms over P^1 with four marked points as described by Kontsevich.\n\n//indico.ictp.it/event/a1339/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1339/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometry Seminar - Degenerations of Kaehler-Einstein Fano manifold s and Moduli Spaces DTSTART;VALUE=DATE-TIME:20130221T130000Z DTEND;VALUE=DATE-TIME:20130221T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1343@ictp.it DESCRIPTION:The space of Kahler-Einstein (KE) Fano manifolds can be natura lly compactified by considering metric degenerations in the so-called Grom ov-Hausdorff topology. The relation between the existence of a KE metric a nd an algebro-geometric notion of stability of the underlying variety (Yau -Tian-Donaldson Conjecture\, now a theorem)\, suggests that the above metr ic compactification should correspond to certain compact algebraic moduli spaces of stable Fano varieties (K-Moduli).\nIn this talk we will describe the general picture\, focusing on the understood case of Del Pezzo surfac es (joint work with Yuji Odaka and Song Sun).\n\n//indico.ictp.it/event/a1 343/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1343/ END:VEVENT BEGIN:VEVENT SUMMARY:Some characterizations for compact almost Ricci solitons DTSTART;VALUE=DATE-TIME:20130318T133000Z DTEND;VALUE=DATE-TIME:20130318T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1368@ictp.it DESCRIPTION:The study of an almost Ricci soliton was introduced in a recen t paper due to Pigola\, Rigoli\, Rimoldi and Setti. This structure represe nts a generalization to Einstein metrics and Ricci soliton\, they appear a s special solutions of the Ricci flow. In this seminar we shall talk about two results. The first treats of the characterization of compact almost R icci solitons \, more precisely\, in this work we find some structure equa tions for almost Ricci solitons which generalize the equivalent for Ricci solitons. As a consequence of these equations we derive an integral formul a for the compact case which enables to show that a compact nontrivial alm ost Ricci soliton is isometric to a sphere\, provided either it has consta nt scalar curvature or its associated vector eld is conformal. Next\, we p rove that any compact almost Ricci soliton with constant scalar curvature is isometric to a Euclidean sphere. As a consequence we obtain that every compact almost Ricci soliton with constant scalar curvature is gradient.\n \n//indico.ictp.it/event/a1368/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1368/ END:VEVENT BEGIN:VEVENT SUMMARY:Free rank of symmetry of manifolds DTSTART;VALUE=DATE-TIME:20130326T133000Z DTEND;VALUE=DATE-TIME:20130326T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1375@ictp.it DESCRIPTION://indico.ictp.it/event/a1375/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1375/ END:VEVENT BEGIN:VEVENT SUMMARY:Refined curve counting DTSTART;VALUE=DATE-TIME:20130418T140000Z DTEND;VALUE=DATE-TIME:20130418T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a1396@ictp.it DESCRIPTION:This will be the first of a series of approximately 4 one-hour lectures.\nThe subject of these lectures is enumerative geometry of curve s on algebraic surfaces and its relation to Hilbert schemes of points\, re al algebraic geometry and tropical geometry.\nThe generating function of t he Euler numbers of Hilbert schemes of points on curves has been used by P andharipande and Thomas to give a mathematical definition of Gopakumar-Vaf a invariants\, and by Kool-Shende-Thomas to give a proof of a conjecture o f mine which describes the generating function of the numbers of δ-nodal singular curves in a linear system of dimension δ on any surface. Shende and me gave a conjectural refinement of this conjecture. Here the number o f curves is replaced by a polynomial\, whose meaning is still mysterious\, but it can be seen to be related to tropical geometry and real algebraic geometry. In this series of lectures we want to explain this circle of ide as\, and also use the opportunity to introduce a number of important conce pts and techniques\, generating functions\, cobordism ring\, localization\ , Severi degrees\, Welschinger invariants\, tropical geometry\, Heisenberg algebra.\n\n//indico.ictp.it/event/a1396/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a1396/ END:VEVENT BEGIN:VEVENT SUMMARY:The higher Lehmer conjecture of F. Rodriguez Villegas DTSTART;VALUE=DATE-TIME:20130430T133000Z DTEND;VALUE=DATE-TIME:20130430T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13102@ictp.it DESCRIPTION:Abstract: This talk will is about work with Ben McReynolds and Matt Stover on variations of the higher Lehmer conjecture of F. Rodrigue z Villegas. These conjectures concern the unit groups of algebraic number fields. I will make a connection between these conjectures and the Cheege r constants of certain flat manifolds which are naturally related to units . Cheeger constants measure the size of the minimal codimension one subman ifold which cuts the original manifold into two disjoint pieces of equal v olume.\n\n//indico.ictp.it/event/a13102/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13102/ END:VEVENT BEGIN:VEVENT SUMMARY:Robust Transitivity for Endomorphisms DTSTART;VALUE=DATE-TIME:20130502T140000Z DTEND;VALUE=DATE-TIME:20130502T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13108@ictp.it DESCRIPTION:Abstract:\nWe address the problem of the conditions under whic h an endomorphism(non-invertible map) having a dense orbit ensures that a sufficiently close perturbed map also exhibits a dense orbit.\nIn this co ntext\, we give sufficient conditions\, which cover a large class of examp les\, for endomorphisms on the n-dimensional torus to be robustly transiti ve: the endomorphism must be volume expanding and any large connected arc must contain a point such that its future orbit belongs to an expanding re gion.\n(Joint work with E. Pujals)\n\nIf we have enough time\, I will show some ergodic properties for a generic subset of this class of maps. More concretely\, the existence of interesting measures such as ergodic expand ing invariant measures with full support and exhibiting exponential decay of correlations.\n(Joint work with V. Pinheiro and P.Varandas) \n\nSome ex amples will be shown.\n\n//indico.ictp.it/event/a13108/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13108/ END:VEVENT BEGIN:VEVENT SUMMARY:Complex symmetric composition operators DTSTART;VALUE=DATE-TIME:20130508T133000Z DTEND;VALUE=DATE-TIME:20130508T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13111@ictp.it DESCRIPTION://indico.ictp.it/event/a13111/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13111/ END:VEVENT BEGIN:VEVENT SUMMARY:Refined curve counting (II) DTSTART;VALUE=DATE-TIME:20130510T133000Z DTEND;VALUE=DATE-TIME:20130510T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13115@ictp.it DESCRIPTION:(This is the second of a series of approximately 4 lectures of 60 minutes).\nThe subject of these lectures is enumerative geometry of cu rves on algebraic surfaces and its relation to Hilbert schemes of points\, real algebraic geometry and tropical geometry.\nThe generating function o f the Euler numbers of Hilbert schemes of points on curves has been used b y Pandharipande and Thomas to give a mathematical definition of Gopakumar- Vafa invariants\, and by Kool-Shende-Thomas to give a proof of a conjectur e of mine which describes the generating function of the numbers of δ-nod al singular curves in a linear system of dimension δ on any surface. Shen de and me gave a conjectural refinement of this conjecture. Here the numbe r of curves is replaced by a polynomial\, whose meaning is still mysteriou s\, but it can be seen to be related to tropical geometry and real algebra ic geometry. In this series of lectures we want to explain this circle of ideas\, and also use the opportunity to introduce a number of important co ncepts and techniques\, generating functions\, cobordism ring\, localizati on\, Severi degrees\, Welschinger invariants\, tropical geometry\, Heisenb erg algebra.\n\n//indico.ictp.it/event/a13115/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13115/ END:VEVENT BEGIN:VEVENT SUMMARY:Towards quantum product for derived categories DTSTART;VALUE=DATE-TIME:20130515T133000Z DTEND;VALUE=DATE-TIME:20130515T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13114@ictp.it DESCRIPTION:Abstract:\n\nQuantum cohomology ring of a smooth projective va riety X is a certain deformation of its usual cohomology ring. This struct ure was introduced at the begging of 90's motivated by works of string the orists. Later on an analogue of the quantum product was defied in the K-th eory. In this talk I will describe a way to define an analogue of the quan tum product on the derived category of X.\n\n//indico.ictp.it/event/a13114 / LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13114/ END:VEVENT BEGIN:VEVENT SUMMARY:Refined curve counting (III) DTSTART;VALUE=DATE-TIME:20130516T140000Z DTEND;VALUE=DATE-TIME:20130516T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13128@ictp.it DESCRIPTION:(This is the third of a series of approximately 4 lectures of 60 minutes).\nThe subject of these lectures is enumerative geometry of cur ves on algebraic surfaces and its relation to Hilbert schemes of points\, real algebraic geometry and tropical geometry.\nThe generating function of the Euler numbers of Hilbert schemes of points on curves has been used by Pandharipande and Thomas to give a mathematical definition of Gopakumar-V afa invariants\, and by Kool-Shende-Thomas to give a proof of a conjecture of mine which describes the generating function of the numbers of δ-noda l singular curves in a linear system of dimension δ on any surface. Shend e and me gave a conjectural refinement of this conjecture. Here the number of curves is replaced by a polynomial\, whose meaning is still mysterious \, but it can be seen to be related to tropical geometry and real algebrai c geometry. In this series of lectures we want to explain this circle of i deas\, and also use the opportunity to introduce a number of important con cepts and techniques\, generating functions\, cobordism ring\, localizatio n\, Severi degrees\, Welschinger invariants\, tropical geometry\, Heisenbe rg algebra.\n\n//indico.ictp.it/event/a13128/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13128/ END:VEVENT BEGIN:VEVENT SUMMARY:Quantisation of the cotangent bundle of Lie groups DTSTART;VALUE=DATE-TIME:20130517T140000Z DTEND;VALUE=DATE-TIME:20130517T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13118@ictp.it DESCRIPTION:Abstract:\n\nWe consider a family of adapted complex structure s on the cotangent bundle of a Lie group and find the BKS pairing relating the corresponding half-form quantisation. We show that the resulting bund le of quantum Hilbert spaces over the space of polarisations is flat. The vertical polarisation as a limit of complex polarisations yields the coher ent state transform (or the Segal-Bargmann-Hall transform). We show that t here is another limit of the complex polarisations that corresponds to the Peter-Weyl theorem.\nThis is a joint work with W. Kirwin.\n\n//indico.ict p.it/event/a13118/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13118/ END:VEVENT BEGIN:VEVENT SUMMARY:On the abc Conjecture\n DTSTART;VALUE=DATE-TIME:20130520T100000Z DTEND;VALUE=DATE-TIME:20130520T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13110@ictp.it DESCRIPTION://indico.ictp.it/event/a13110/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a13110/ END:VEVENT BEGIN:VEVENT SUMMARY:Refined curve counting (IV) DTSTART;VALUE=DATE-TIME:20130531T130000Z DTEND;VALUE=DATE-TIME:20130531T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13147@ictp.it DESCRIPTION:The subject of these lectures is enumerative geometry of curve s on algebraic surfaces and its relation to Hilbert schemes of points\, re al algebraic geometry and tropical geometry.\nThe generating function of t he Euler numbers of Hilbert schemes of points on curves has been used by P andharipande and Thomas to give a mathematical definition of Gopakumar-Vaf a invariants\, and by Kool-Shende-Thomas to give a proof of a conjecture o f mine which describes the generating function of the numbers of δ-nodal singular curves in a linear system of dimension δ on any surface. Shende and me gave a conjectural refinement of this conjecture. Here the number o f curves is replaced by a polynomial\, whose meaning is still mysterious\, but it can be seen to be related to tropical geometry and real algebraic geometry. In this series of lectures we want to explain this circle of ide as\, and also use the opportunity to introduce a number of important conce pts and techniques\, generating functions\, cobordism ring\, localization\ , Severi degrees\, Welschinger invariants\, tropical geometry\, Heisenberg algebra.\n\n//indico.ictp.it/event/a13147/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13147/ END:VEVENT BEGIN:VEVENT SUMMARY:Refined curve counting (V) DTSTART;VALUE=DATE-TIME:20130607T130000Z DTEND;VALUE=DATE-TIME:20130607T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13152@ictp.it DESCRIPTION:The subject of these lectures is enumerative geometry of curve s on algebraic surfaces and its relation to Hilbert schemes of points\, re al algebraic geometry and tropical geometry.\nThe generating function of t he Euler numbers of Hilbert schemes of points on curves has been used by P andharipande and Thomas to give a mathematical definition of Gopakumar-Vaf a invariants\, and by Kool-Shende-Thomas to give a proof of a conjecture o f mine which describes the generating function of the numbers of δ-nodal singular curves in a linear system of dimension δ on any surface. Shende and me gave a conjectural refinement of this conjecture. Here the number o f curves is replaced by a polynomial\, whose meaning is still mysterious\, but it can be seen to be related to tropical geometry and real algebraic geometry. In this series of lectures we want to explain this circle of ide as\, and also use the opportunity to introduce a number of important conce pts and techniques\, generating functions\, cobordism ring\, localization\ , Severi degrees\, Welschinger invariants\, tropical geometry\, Heisenberg algebra.\n\n//indico.ictp.it/event/a13152/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13152/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR - Introduction to the Zariski multiplic ity conjecture. DTSTART;VALUE=DATE-TIME:20130612T093000Z DTEND;VALUE=DATE-TIME:20130612T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13156@ictp.it DESCRIPTION://indico.ictp.it/event/a13156/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a13156/ END:VEVENT BEGIN:VEVENT SUMMARY:Refined curve counting (VI) DTSTART;VALUE=DATE-TIME:20130614T130000Z DTEND;VALUE=DATE-TIME:20130614T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13157@ictp.it DESCRIPTION:The subject of these lectures is enumerative geometry of curve s on algebraic surfaces and its relation to Hilbert schemes of points\, re al algebraic geometry and tropical geometry.\nThe generating function of t he Euler numbers of Hilbert schemes of points on curves has been used by P andharipande and Thomas to give a mathematical definition of Gopakumar-Vaf a invariants\, and by Kool-Shende-Thomas to give a proof of a conjecture o f mine which describes the generating function of the numbers of δ-nodal singular curves in a linear system of dimension δ on any surface. Shende and me gave a conjectural refinement of this conjecture. Here the number o f curves is replaced by a polynomial\, whose meaning is still mysterious\, but it can be seen to be related to tropical geometry and real algebraic geometry. In this series of lectures we want to explain this circle of ide as\, and also use the opportunity to introduce a number of important conce pts and techniques\, generating functions\, cobordism ring\, localization\ , Severi degrees\, Welschinger invariants\, tropical geometry\, Heisenberg algebra.\n\n//indico.ictp.it/event/a13157/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13157/ END:VEVENT BEGIN:VEVENT SUMMARY:Circle Maps\, Renormalization\, and Rigidity Theory\n DTSTART;VALUE=DATE-TIME:20130620T150000Z DTEND;VALUE=DATE-TIME:20130620T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13153@ictp.it DESCRIPTION:The talk will discuss the dynamics of circle maps (orientation -preserving circle homeomorphisms (o.p.c.h)).\nWe will review the topologi cal classification of these circle maps\, namely the Poincare Classificati on and the Denjoy Theory. We will introduce the beautiful construction of the dynamical partition of the circle. We will review the connection betwe en the concept of the Diophantine properties of the irrational rotation nu mber of our map and the smooth classification of (sufficiently regular) c ircle maps (the so called "rigidity" theory)\, in the context of three imp ortant classes: diffeomorphisms\, critical maps\, and maps with a break po int.\nFor circle maps with a break point\, we will discuss two recent resu lts that were obtained in the rigidity theory of circle maps with a break point.\nThe first main result is a proof that C^1 rigidity holds for circl e maps with a break point for almost all irrational rotation numbers. This result is joint work with Kostya Khanin and Sasa Kocic.\nThe second main result has to do with the family of fractional linear transformation (FLT) pairs. An FLT-pair T is a circle homeomorphism that consists of two branc hes each of which is an FLT. Such a map can be viewed as a circle map with two neighbouring break points lying on the same orbit. For this family\, C^1 rigidity holds for all irrational rotation numbers without any restric tion (the so-called "robust rigidity").\n\n//indico.ictp.it/event/a13153/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13153/ END:VEVENT BEGIN:VEVENT SUMMARY:Deformations with constant Lê numbers and multiplicity of non-iso lated hypersurface singularities DTSTART;VALUE=DATE-TIME:20130628T133000Z DTEND;VALUE=DATE-TIME:20130628T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13160@ictp.it DESCRIPTION://indico.ictp.it/event/a13160/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13160/ END:VEVENT BEGIN:VEVENT SUMMARY:Symplectic mean curvature flow in CP^2 DTSTART;VALUE=DATE-TIME:20130705T130000Z DTEND;VALUE=DATE-TIME:20130705T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13175@ictp.it DESCRIPTION:We will introduce the notions of the symplectic mean curvature flow and give some pinching conditions so that the symplectic mean curvat ure flow exists for long time and converges to a holomorphic curve.\n\n//i ndico.ictp.it/event/a13175/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13175/ END:VEVENT BEGIN:VEVENT SUMMARY:Associative algebras and Lie algebras defined by Lyndon words DTSTART;VALUE=DATE-TIME:20130722T140000Z DTEND;VALUE=DATE-TIME:20130722T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13176@ictp.it DESCRIPTION://indico.ictp.it/event/a13176/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13176/ END:VEVENT BEGIN:VEVENT SUMMARY:On singular support of constructible sheaves DTSTART;VALUE=DATE-TIME:20130724T133000Z DTEND;VALUE=DATE-TIME:20130724T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13263@ictp.it DESCRIPTION://indico.ictp.it/event/a13263/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13263/ END:VEVENT BEGIN:VEVENT SUMMARY:Weak specification properties and large deviations for non-additiv e potentials DTSTART;VALUE=DATE-TIME:20130726T140000Z DTEND;VALUE=DATE-TIME:20130726T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13269@ictp.it DESCRIPTION:We obtain large deviation bounds for the measure of deviation sets associated to asymptotically additive and sub-additive potentials und er some weak specification properties. Some applications to the study of the convergence of Lyapunov exponents are given.\n\n//indico.ictp.it/event /a13269/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13269/ END:VEVENT BEGIN:VEVENT SUMMARY:Multiple Zeta Values and String Amplitudes DTSTART;VALUE=DATE-TIME:20130801T140000Z DTEND;VALUE=DATE-TIME:20130801T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13271@ictp.it DESCRIPTION://indico.ictp.it/event/a13271/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13271/ END:VEVENT BEGIN:VEVENT SUMMARY:Cremona groups DTSTART;VALUE=DATE-TIME:20130806T133000Z DTEND;VALUE=DATE-TIME:20130806T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13273@ictp.it DESCRIPTION://indico.ictp.it/event/a13273/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13273/ END:VEVENT BEGIN:VEVENT SUMMARY:Examples of abelian surfaces with everywhere good reduction DTSTART;VALUE=DATE-TIME:20130821T133000Z DTEND;VALUE=DATE-TIME:20130821T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13281@ictp.it DESCRIPTION:In this talk\, we will present explicit examples of abelian su rfaces with everywhere good reduction. One class of examples is connected with the Paramodularity Conjecture of Brumer-Kramer\, which will be discu ssed in the process. This is joint work with Abhinav Kumar.\n\n//indico.i ctp.it/event/a13281/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13281/ END:VEVENT BEGIN:VEVENT SUMMARY:On negatively curved Riemannian G-manifolds of low cohomogeneity DTSTART;VALUE=DATE-TIME:20130905T130000Z DTEND;VALUE=DATE-TIME:20130905T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13290@ictp.it DESCRIPTION:Abstract:\nWe give a topological description of cohomogeneity two Riemannian manifolds of negative curvature which are either locally sy mmetric or there is no singular orbit of positive\ndimension.\nAs an appli cation\, we classify cohomogeneity k\, k\n\n//indico.ictp.it/event/a13290/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13290/ END:VEVENT BEGIN:VEVENT SUMMARY:Shadowing in Dynamical Systems (V) DTSTART;VALUE=DATE-TIME:20130930T133000Z DTEND;VALUE=DATE-TIME:20130930T161800Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13308@ictp.it DESCRIPTION://indico.ictp.it/event/a13308/ LOCATION:ICTP URL://indico.ictp.it/event/a13308/ END:VEVENT BEGIN:VEVENT SUMMARY:Shadowing in Dynamical Systems (I) DTSTART;VALUE=DATE-TIME:20131001T133000Z DTEND;VALUE=DATE-TIME:20131001T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13301@ictp.it DESCRIPTION://indico.ictp.it/event/a13301/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13301/ END:VEVENT BEGIN:VEVENT SUMMARY:Shadowing in Dynamical Systems (II) DTSTART;VALUE=DATE-TIME:20131002T133000Z DTEND;VALUE=DATE-TIME:20131002T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13302@ictp.it DESCRIPTION://indico.ictp.it/event/a13302/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13302/ END:VEVENT BEGIN:VEVENT SUMMARY:Shadowing in Dynamical Systems (III) DTSTART;VALUE=DATE-TIME:20131004T133000Z DTEND;VALUE=DATE-TIME:20131004T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13303@ictp.it DESCRIPTION://indico.ictp.it/event/a13303/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13303/ END:VEVENT BEGIN:VEVENT SUMMARY:Shadowing in Dynamical Systems (IV) DTSTART;VALUE=DATE-TIME:20131007T140000Z DTEND;VALUE=DATE-TIME:20131007T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13307@ictp.it DESCRIPTION://indico.ictp.it/event/a13307/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13307/ END:VEVENT BEGIN:VEVENT SUMMARY:Shadowing in Dynamical Systems (V) DTSTART;VALUE=DATE-TIME:20131009T153000Z DTEND;VALUE=DATE-TIME:20131009T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13312@ictp.it DESCRIPTION://indico.ictp.it/event/a13312/ LOCATION:ICTP Leonardo da Vinci Building Lecture Room D URL://indico.ictp.it/event/a13312/ END:VEVENT BEGIN:VEVENT SUMMARY:Non hyperbolic shadowing DTSTART;VALUE=DATE-TIME:20131011T150000Z DTEND;VALUE=DATE-TIME:20131011T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13309@ictp.it DESCRIPTION://indico.ictp.it/event/a13309/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13309/ END:VEVENT BEGIN:VEVENT SUMMARY:Symbolic extensions for C^2 surface diffeomorphisms DTSTART;VALUE=DATE-TIME:20131021T100000Z DTEND;VALUE=DATE-TIME:20131021T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13314@ictp.it DESCRIPTION:By a symbolic extension of a topological dynamical system (X\, T) we mean an extension of (X\,T) which is a subshift over a finite alphab et. The existence and the entropy of these extensions are related to the c onvergence of the metric entropy of (X\,T) computed at finer and finer sca les. T. Downarowicz and S. Newhouse have conjectured that any C^r with r>1 map on a compact manifold admits symbolic extensions. In this talk we wil l discuss the case of surface maps.\n\n//indico.ictp.it/event/a13314/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13314/ END:VEVENT BEGIN:VEVENT SUMMARY:The McKay correspondence as a variation of tensor products DTSTART;VALUE=DATE-TIME:20131023T133000Z DTEND;VALUE=DATE-TIME:20131023T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13315@ictp.it DESCRIPTION:Given a finite subgroup G in SL(2\, C)\, the classical McKay c orrespondence relates the representation theory of G and the cohomology of the minimal resolution of the singular surface C^2/G. I will discuss a mo dern formulation of this correspondence\, with introductions to the releva nt\nnotions\, and present the problem I am currently working on. The talk will be aimed at a general maths audience including Ph.D. students.\n\n//i ndico.ictp.it/event/a13315/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13315/ END:VEVENT BEGIN:VEVENT SUMMARY:Reading seminar on quiver representations and Nakajima quiver vari eties DTSTART;VALUE=DATE-TIME:20131030T133000Z DTEND;VALUE=DATE-TIME:20131030T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13325@ictp.it DESCRIPTION://indico.ictp.it/event/a13325/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13325/ END:VEVENT BEGIN:VEVENT SUMMARY:Hyperbolicity of Natural Invariant Sets via Tracing Properties\n DTSTART;VALUE=DATE-TIME:20131030T100000Z DTEND;VALUE=DATE-TIME:20131030T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13340@ictp.it DESCRIPTION://indico.ictp.it/event/a13340/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13340/ END:VEVENT BEGIN:VEVENT SUMMARY:Reading seminar on quiver representations and Nakajima quiver vari eties DTSTART;VALUE=DATE-TIME:20131106T130000Z DTEND;VALUE=DATE-TIME:20131106T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13326@ictp.it DESCRIPTION:Introduction to Nakajima quiver varieties I:\nGiven a for a gi ven quiver without loops\, we will aim to state that\ncertain homology gro ups of Nakajima quiver varieties admit an action of\nthe underlying Kac-Mo ody algebra. We will define or sketch the terms there\nin and do the examp les corresponding to the Dynkin diagrams of type A1 and\nA2.\n\n//indico.i ctp.it/event/a13326/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13326/ END:VEVENT BEGIN:VEVENT SUMMARY:Reading seminar on quiver representations and Nakajima quiver vari eties DTSTART;VALUE=DATE-TIME:20131120T130000Z DTEND;VALUE=DATE-TIME:20131120T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13328@ictp.it DESCRIPTION://indico.ictp.it/event/a13328/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13328/ END:VEVENT BEGIN:VEVENT SUMMARY:Persistent homology DTSTART;VALUE=DATE-TIME:20131121T140000Z DTEND;VALUE=DATE-TIME:20131121T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13351@ictp.it DESCRIPTION:This an introductory talk based on the paper "Topology and dat a" by G. Carlsson of a possible series of lectures. Persistent homology is a recent theory developed for qualitative analysis of large data sets wit h applications to biology\, medicine\, image recognition\, etc.\n\n//indic o.ictp.it/event/a13351/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13351/ END:VEVENT BEGIN:VEVENT SUMMARY:Ricci flow invariant curvature cones DTSTART;VALUE=DATE-TIME:20131122T090000Z DTEND;VALUE=DATE-TIME:20131122T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13358@ictp.it DESCRIPTION:Among the various notions of positive curvature conditions in Riemannian geometry only some are preserved by the Ricci flow. It is still unknown what the necessary and sufficient conditions are which will ensur e this property. In this talk\, I will discuss some results towards answer ing this question.\n\n//indico.ictp.it/event/a13358/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a13358/ END:VEVENT BEGIN:VEVENT SUMMARY:Exceptional holonomies on the deformations of cones and modificati ons of the Ricci flow DTSTART;VALUE=DATE-TIME:20131122T101500Z DTEND;VALUE=DATE-TIME:20131122T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13359@ictp.it DESCRIPTION:Some basic facts on a holonomy group of a Riemannian manifold will be explained and some old results on constructing metrics with prescr ibed holonomy will be mentioned. Using this construction it is possible to define a new flow such that induced metric on the 'time-space' will be is ometric to the Eguchi-Hanson metric.\n\n//indico.ictp.it/event/a13359/ LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall URL://indico.ictp.it/event/a13359/ END:VEVENT BEGIN:VEVENT SUMMARY:Mirror symmetry and Ramanujan-type congruences DTSTART;VALUE=DATE-TIME:20131126T130000Z DTEND;VALUE=DATE-TIME:20131126T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13362@ictp.it DESCRIPTION:We will explain why the fundamental units in real quadratic fi elds Q(sqrt(n^4-20* n^3+56*n^2-44*n))\, n in Z\, tend to be congruent to + 1 or -1 mod 11.\n\n//indico.ictp.it/event/a13362/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13362/ END:VEVENT BEGIN:VEVENT SUMMARY:Reading seminar on quiver representations and Nakajima quiver vari eties DTSTART;VALUE=DATE-TIME:20131127T130000Z DTEND;VALUE=DATE-TIME:20131127T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13329@ictp.it DESCRIPTION:In today's talk\, I will begin by introducing an alternative n otion of quiver framing due to Crawley-Boevey\, I then hope to exhibit the Hilbert scheme of points on C^2 and resolutions of ADE singularities as s uch varieties. If time permits\, I might also try to say something about t he Springer resolution.\n\n//indico.ictp.it/event/a13329/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13329/ END:VEVENT BEGIN:VEVENT SUMMARY:Some problems on motivic Milnor fiber DTSTART;VALUE=DATE-TIME:20131203T130000Z DTEND;VALUE=DATE-TIME:20131203T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13363@ictp.it DESCRIPTION:Developed by Denef-Loeser more than one decade ago\, motivic M ilnor fiber was a power tool to study singularities from the point of view of motivic integration. Especially\, the impressive appearance of Kontsev ich-Soibelman's theory of motivic Donaldson-Thomas invariants around 2008 two of whose foundations are the conjectural integral identity and the mot ivic Thom-Sebastiani theorem once again proves the importance of motivic M ilnor fiber in different fields of mathematics. Recently\, after works of Hrushovski-Loeser\, one can describe motivic Milnor fiber in a more model- theoretical way. I used this new description to prove the integral identit y conjecture for algebraically closed fields. More recently\, during my vi sit at the ICTP in October 2013\, using the same method\, I was able to re cover the motivic Thom-Sebastiani theorem. We shall introduce how to prove these results in the talk. Some comments on open problems concerning moti vic Milnor fiber will be also given.\n\n//indico.ictp.it/event/a13363/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13363/ END:VEVENT BEGIN:VEVENT SUMMARY:Reading seminar on quiver representations and Nakajima quiver vari eties DTSTART;VALUE=DATE-TIME:20131204T130000Z DTEND;VALUE=DATE-TIME:20131204T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13330@ictp.it DESCRIPTION:I will start by giving some details on the convolution action used by Tarig in his first talk about a month ago (I will recall what it w as about). In the rest of the talk I plan to discuss the notion of symplec tic resolutions: Nakajima quiver varieties give examples of such things.\n \n//indico.ictp.it/event/a13330/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13330/ END:VEVENT BEGIN:VEVENT SUMMARY:Reading seminar on quiver representations and Nakajima quiver vari eties DTSTART;VALUE=DATE-TIME:20131211T130000Z DTEND;VALUE=DATE-TIME:20131211T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13369@ictp.it DESCRIPTION://indico.ictp.it/event/a13369/ LOCATION:ICTP Leonardo da Vinci Building Oppenheimer Meeting Room URL://indico.ictp.it/event/a13369/ END:VEVENT BEGIN:VEVENT SUMMARY:Persistent Homology III (Persistent Homology and Viral Evolution) DTSTART;VALUE=DATE-TIME:20131216T140000Z DTEND;VALUE=DATE-TIME:20131216T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a13372@ictp.it DESCRIPTION:This will be the continuation of the topic presented last week where we will keep studying the paper titled 'Topology of Viral Evolution ' by JM Chan et al. to see an application of Persistent Homology to geneti c data\, to deduce results about horizontal evolution of viruses.\n\n//ind ico.ictp.it/event/a13372/ LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room URL://indico.ictp.it/event/a13372/ END:VEVENT BEGIN:VEVENT SUMMARY:Quiver reading seminar. Quiver representations over finite fields (II). DTSTART;VALUE=DATE-TIME:20140122T130000Z DTEND;VALUE=DATE-TIME:20140122T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14112@ictp.it DESCRIPTION://indico.ictp.it/event/a14112/ LOCATION:ICTP URL://indico.ictp.it/event/a14112/ END:VEVENT BEGIN:VEVENT SUMMARY:Reading seminar on quiver representations and Nakajima quiver vari eties. DTSTART;VALUE=DATE-TIME:20140129T130000Z DTEND;VALUE=DATE-TIME:20140129T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14115@ictp.it DESCRIPTION:A. Mellit will give a survey talk on Horn's problem following Fulton's paper "Eigenvalues\, invariant factors\, highest weights and Schu bert calculus". Horn's problem is the characterization of the eigenvalues of the sum of two Hermitian matrices in terms of those of the summands.\n\ n//indico.ictp.it/event/a14115/ LOCATION:ICTP URL://indico.ictp.it/event/a14115/ END:VEVENT BEGIN:VEVENT SUMMARY:SYMPLECTIC TOPOLOGY SEMINAR - Membership problem for 3-manifold gr oups DTSTART;VALUE=DATE-TIME:20140203T130000Z DTEND;VALUE=DATE-TIME:20140203T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14116@ictp.it DESCRIPTION://indico.ictp.it/event/a14116/ LOCATION:ICTP URL://indico.ictp.it/event/a14116/ END:VEVENT BEGIN:VEVENT SUMMARY:Symmetric GAF in de Branges spaces DTSTART;VALUE=DATE-TIME:20140207T130000Z DTEND;VALUE=DATE-TIME:20140207T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14130@ictp.it DESCRIPTION:Given an orthonormal basis {e_n} in a de Branges space (a cert ain Hilbert space of entire functions)\, and i.i.d. random variables {a_n} with real normal distribution N(0\,1)\, we consider the Gaussian Analytic Function:\n\nF(z)=\\sum_n a_n e_n(z).\n\nIn this talk\, we will present s ome results on the distribution of the real zeroes of F(z). It is natural that this random set contains information about the underline Hilbert spac e. We will see that this information is enough to characterize\, up to som e nice isomorphism\, the de Branges space. We will also show some partial results on the hole probability. We will pay special attention to the Pale y-Wiener space\, and the spaces associated to the Airy and Bessel function s\, because these three spaces also appear in point processes related to r andom matrices.This talk is based on a joint work with Jordi Marzo and Ja n-Fredrik Olsen.\n\n//indico.ictp.it/event/a14130/ LOCATION:ICTP URL://indico.ictp.it/event/a14130/ END:VEVENT BEGIN:VEVENT SUMMARY:Nichols algebras and a combinatorial model for Schubert Calculus DTSTART;VALUE=DATE-TIME:20140211T130000Z DTEND;VALUE=DATE-TIME:20140211T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14131@ictp.it DESCRIPTION:In 1995 Fomin and Kirillov proposed a combinatorial model for the cohomology ring (ordinary or quantum) of the flag manifold. In this ta lk we review the construction of Fomin and Kirillov and show how this comb inatorial model for Schubert calculus intersect with the theory of (braide d) Hopf algebras.\n\n//indico.ictp.it/event/a14131/ LOCATION:ICTP URL://indico.ictp.it/event/a14131/ END:VEVENT BEGIN:VEVENT SUMMARY:Quiver reading seminar DTSTART;VALUE=DATE-TIME:20140212T130000Z DTEND;VALUE=DATE-TIME:20140212T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14139@ictp.it DESCRIPTION:I will state and comment Kronheimer's Theorem on the existence of ALE hyperkaehler metrics on resolutions of SU(2)-singularities. The pr ocess will include:\n\noutline of moment map\, kahler and hyperkahler redu ction\, geometric motivation (yet another one!) for being interested in su ch things\, wild speculation (simply based on the only known example) of w hat Nakajima examples could look like (sometimes).\n\nThis will be a parti cularly informal seminar!\n\n//indico.ictp.it/event/a14139/ LOCATION:ICTP URL://indico.ictp.it/event/a14139/ END:VEVENT BEGIN:VEVENT SUMMARY:SYMPLECTIC TOPOLOGY SEMINAR - Constructions of generalized complex structures of different type. DTSTART;VALUE=DATE-TIME:20140213T130000Z DTEND;VALUE=DATE-TIME:20140213T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14117@ictp.it DESCRIPTION:The talk is a survey on recent existence results of generalize d complex structures in dimension four. We begin with a brief introduction to generalized complex geometry. Then\, we move on to discuss recent cut- and-paste constructions on smooth 4-manifolds that have unveiled interesti ng phenomena regarding existence results on a myriad of manifolds\, and in formation on the number of path components of the type change locus of a g eneralized complex structure\, hence improving drastically our understandi ng of these geometric structures. The talk will be example-driven.\n\n//in dico.ictp.it/event/a14117/ LOCATION:ICTP URL://indico.ictp.it/event/a14117/ END:VEVENT BEGIN:VEVENT SUMMARY:Learning seminar on Bridgeland Stability conditions II - "Stabilit y for vector bundles and quiver representations" DTSTART;VALUE=DATE-TIME:20140213T150000Z DTEND;VALUE=DATE-TIME:20140213T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14149@ictp.it DESCRIPTION://indico.ictp.it/event/a14149/ LOCATION:ICTP URL://indico.ictp.it/event/a14149/ END:VEVENT BEGIN:VEVENT SUMMARY:SYMPLECTIC TOPOLOGY SEMINAR - Separability properties of 3-manifol d groups and symplectic 4-manifolds DTSTART;VALUE=DATE-TIME:20140220T130000Z DTEND;VALUE=DATE-TIME:20140220T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14118@ictp.it DESCRIPTION:I will survey some results on 3-manifold groups and discuss ho w they allow us to decide the existence of symplectic structures on some c lasses of 4-manifolds.\n\n//indico.ictp.it/event/a14118/ LOCATION:ICTP URL://indico.ictp.it/event/a14118/ END:VEVENT BEGIN:VEVENT SUMMARY:Lines on the Dwork quintic DTSTART;VALUE=DATE-TIME:20140224T130000Z DTEND;VALUE=DATE-TIME:20140224T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14113@ictp.it DESCRIPTION://indico.ictp.it/event/a14113/ LOCATION:ICTP URL://indico.ictp.it/event/a14113/ END:VEVENT BEGIN:VEVENT SUMMARY:Lines and pairs of points on cubic hypersurfaces DTSTART;VALUE=DATE-TIME:20140225T130000Z DTEND;VALUE=DATE-TIME:20140225T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14132@ictp.it DESCRIPTION:This is joint work with S.Galkin.\nLet X be a cubic hypersurfa ce. We relate the geometry of the symmetric square Sym^2(X) to the Fano va rietiy of lines F(X). We work in the Grothendieck ring of varieties\, and then take motivic realizations to compare Hodge structure of F(X) to that of X.\nTime permitting\, I will talk about relation to rationality of a cu bic fourfold.\n\n//indico.ictp.it/event/a14132/ LOCATION:ICTP URL://indico.ictp.it/event/a14132/ END:VEVENT BEGIN:VEVENT SUMMARY:Higher rank zeta functions for curves over finite fields DTSTART;VALUE=DATE-TIME:20140226T130000Z DTEND;VALUE=DATE-TIME:20140226T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14114@ictp.it DESCRIPTION://indico.ictp.it/event/a14114/ LOCATION:ICTP URL://indico.ictp.it/event/a14114/ END:VEVENT BEGIN:VEVENT SUMMARY:SYMPLECTIC TOPOLOGY SEMINAR - A conjecture on virtual properties o f Kähler groups DTSTART;VALUE=DATE-TIME:20140227T133000Z DTEND;VALUE=DATE-TIME:20140227T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14119@ictp.it DESCRIPTION://indico.ictp.it/event/a14119/ LOCATION:ICTP URL://indico.ictp.it/event/a14119/ END:VEVENT BEGIN:VEVENT SUMMARY:Learning seminar on Bridgeland Stability conditions III - "Quiver stability/ t-structures" DTSTART;VALUE=DATE-TIME:20140227T150000Z DTEND;VALUE=DATE-TIME:20140227T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14150@ictp.it DESCRIPTION:The first part of the talk will aim to motivate slope stabilit y for quivers using GIT via the Hilbert-Mumford criterion. In the second p art\, we investigate reasonable abelian subcategories of derived categorie s. Combining these two notions\, in a sensible manner\, will eventually le ad us towards the definition of stability conditions on derived categories .\n\n//indico.ictp.it/event/a14150/ LOCATION:ICTP URL://indico.ictp.it/event/a14150/ END:VEVENT BEGIN:VEVENT SUMMARY:Learning seminar on Bridgeland stability conditions - "Stability c onditions on a triangulated category" DTSTART;VALUE=DATE-TIME:20140304T153000Z DTEND;VALUE=DATE-TIME:20140304T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14148@ictp.it DESCRIPTION://indico.ictp.it/event/a14148/ LOCATION:ICTP URL://indico.ictp.it/event/a14148/ END:VEVENT BEGIN:VEVENT SUMMARY:Tropical and Enumerative Geometry DTSTART;VALUE=DATE-TIME:20140320T140000Z DTEND;VALUE=DATE-TIME:20140320T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14161@ictp.it DESCRIPTION:Tropical geometry has nowadays several\, different facets rela ted to algebraic gometry\, commutative algebra\, symplectic geometry\, opt imization\, low-dimensional topology\, knot theory and physics.\nIn the co ntext of enumerative geometry the idea is to replace objects from algebrai c geometry by combinatorial objects\, we say we tropicalize these objects. The key feature of tropicalization is that important information about th e objects (related to the problem studied) is conserved.\n\nAfter a recap of basic notions\, I will give an overview of recent achievements of tropi cal enumerative geometry and discuss current directions of research.\n\n// indico.ictp.it/event/a14161/ LOCATION:ICTP URL://indico.ictp.it/event/a14161/ END:VEVENT BEGIN:VEVENT SUMMARY:Learning seminar on Bridgeland stability conditions - "Stability c onditions on curves\, quivers and K3 surfaces\, wall crossing" DTSTART;VALUE=DATE-TIME:20140325T153000Z DTEND;VALUE=DATE-TIME:20140325T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14162@ictp.it DESCRIPTION:Abstract: I will explain results of T. Bridgeland about the sp aces of stability conditions on curves\, quivers and K3 surfaces. If time permits\, I will give an idea of DT-invariants and the wall-crossing pheno mena.\n\n//indico.ictp.it/event/a14162/ LOCATION:ICTP URL://indico.ictp.it/event/a14162/ END:VEVENT BEGIN:VEVENT SUMMARY:Learning seminar on Bridgeland Stability conditions. Old fashione d stability. DTSTART;VALUE=DATE-TIME:20140401T153000Z DTEND;VALUE=DATE-TIME:20140401T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14166@ictp.it DESCRIPTION:I will discuss some of the basic background on stability in th e classical sense (Hilbert\, Mumford) as well as its version for quivers d ue to King.\n\n//indico.ictp.it/event/a14166/ LOCATION:ICTP URL://indico.ictp.it/event/a14166/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamics of piecewise contractions of the interval DTSTART;VALUE=DATE-TIME:20140408T093000Z DTEND;VALUE=DATE-TIME:20140408T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14171@ictp.it DESCRIPTION://indico.ictp.it/event/a14171/ LOCATION:ICTP URL://indico.ictp.it/event/a14171/ END:VEVENT BEGIN:VEVENT SUMMARY:A homotopy-theoretic approach to some theorems in arithmetic. DTSTART;VALUE=DATE-TIME:20140409T130000Z DTEND;VALUE=DATE-TIME:20140409T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14168@ictp.it DESCRIPTION:The theorems in the title refer to some generalizations and co nsequences of the quadratic reciprocity law. These all play on how the va rious finite rings Z/nZ\, which are simple to understand by themselves\, a re tied together by the more complicated ring Z. I will give an introduct ion to these types of theorems\, and then indicate how a certain homotopy- theoretic construction relating tori and spheres can be used to provide pr oofs of some of them\, starting with the quadratic reciprocity law itself. \n\n//indico.ictp.it/event/a14168/ LOCATION:ICTP URL://indico.ictp.it/event/a14168/ END:VEVENT BEGIN:VEVENT SUMMARY:Learning seminar on Bridgeland Stability conditions - Flops and de rived categories. DTSTART;VALUE=DATE-TIME:20140415T153000Z DTEND;VALUE=DATE-TIME:20140415T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14178@ictp.it DESCRIPTION:We will go through Tom Bridgeland's paper "Flops and derived c ategories".\n\n//indico.ictp.it/event/a14178/ LOCATION:ICTP URL://indico.ictp.it/event/a14178/ END:VEVENT BEGIN:VEVENT SUMMARY:Persistence and stability properties of powers of ideals (I) DTSTART;VALUE=DATE-TIME:20140428T130000Z DTEND;VALUE=DATE-TIME:20140428T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14179@ictp.it DESCRIPTION:The homological and algebraic behaviour of powers of an ideal has been a subject of several research papers in recent years. In this ser ies of talks\, first I will discuss the well known results about the stabi lity of the set of associated prime ideals and the depth function of power s of an ideal in a Noetherian ring. Later\, based on my joint work with Ju ergen Herzog and Takayuki Hibi\, I will discuss the concept of strong pers istence property of powers of an ideal and polarization of Koszul cycles a nd then use it to study the index of stability for the set of associated p rime ideals and the depth function of powers of an ideal.\n\n//indico.ictp .it/event/a14179/ LOCATION:ICTP URL://indico.ictp.it/event/a14179/ END:VEVENT BEGIN:VEVENT SUMMARY:Quivers reading seminar DTSTART;VALUE=DATE-TIME:20140429T153000Z DTEND;VALUE=DATE-TIME:20140429T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14187@ictp.it DESCRIPTION:I will discuss the paper of Reineke and Mozgovoy\n\nhttp://arx iv.org/abs/0708.1259\n\non counting semi-stable representations of quivers over finite fields. It is possible that the ideas in\n\nhttp://arxiv.org/ abs/1309.0545\n\ncould be useful for this question and we might discuss th at in future seminars.\n\n//indico.ictp.it/event/a14187/ LOCATION:ICTP URL://indico.ictp.it/event/a14187/ END:VEVENT BEGIN:VEVENT SUMMARY:Persistence and stability properties of powers of ideals (II) DTSTART;VALUE=DATE-TIME:20140430T130000Z DTEND;VALUE=DATE-TIME:20140430T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14180@ictp.it DESCRIPTION:The homological and algebraic behaviour of powers of an ideal has been a subject of several research papers in recent years. In this ser ies of talks\, first I will discuss the well known results about the stabi lity of the set of associated prime ideals and the depth function of power s of an ideal in a Noetherian ring. Later\, based on my joint work with Ju ergen Herzog and Takayuki Hibi\, I will discuss the concept of strong pers istence property of powers of an ideal and polarization of Koszul cycles a nd then use it to study the index of stability for the set of associated p rime ideals and the depth function of powers of an ideal.\n\n//indico.ictp .it/event/a14180/ LOCATION:ICTP URL://indico.ictp.it/event/a14180/ END:VEVENT BEGIN:VEVENT SUMMARY:The algebraicity of sieved sets and rational points on curves DTSTART;VALUE=DATE-TIME:20140513T153000Z DTEND;VALUE=DATE-TIME:20140513T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14193@ictp.it DESCRIPTION:Abstract: We will discuss some connections between the polynom ial method\, sieve theory\, inverse problems in arithmetic combinatorics a nd the estimation of rational points on curves. Our motivating questions w ill be to classify those sets that are irregularly distributed in residue classes and to understand how many rational points of bounded height can a curve of fixed degree have.\n\n//indico.ictp.it/event/a14193/ LOCATION:ICTP URL://indico.ictp.it/event/a14193/ END:VEVENT BEGIN:VEVENT SUMMARY:Quivers reading seminar \n\n"Inversion of the recursion for counti ng semi-stable representations over finite fields" DTSTART;VALUE=DATE-TIME:20140515T153000Z DTEND;VALUE=DATE-TIME:20140515T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14194@ictp.it DESCRIPTION://indico.ictp.it/event/a14194/ LOCATION:ICTP URL://indico.ictp.it/event/a14194/ END:VEVENT BEGIN:VEVENT SUMMARY:Subrieamannian Geometry and Dynamical Systems DTSTART;VALUE=DATE-TIME:20140520T100000Z DTEND;VALUE=DATE-TIME:20140520T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14199@ictp.it DESCRIPTION://indico.ictp.it/event/a14199/ LOCATION:ICTP URL://indico.ictp.it/event/a14199/ END:VEVENT BEGIN:VEVENT SUMMARY:Schubert polynomials DTSTART;VALUE=DATE-TIME:20140605T153000Z DTEND;VALUE=DATE-TIME:20140605T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14205@ictp.it DESCRIPTION:Abstract: I will give a basic introduction to these polynomia ls\, which play an important role in representation theory and encode the cohomology class of Schubert cycles in flag varieties.\n\n//indico.ictp.it /event/a14205/ LOCATION:ICTP URL://indico.ictp.it/event/a14205/ END:VEVENT BEGIN:VEVENT SUMMARY:On Complex Hyperbolic Fenchel-Nielsen Coordinates\n DTSTART;VALUE=DATE-TIME:20140612T130000Z DTEND;VALUE=DATE-TIME:20140612T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14210@ictp.it DESCRIPTION:Abstract: The classical Teichmuller space has a nice system of coordinates on it called the Fenchel-Nielsen coordinates. We shall discus s generalization of these coordinates in the setting of complex hyperbolic geometry. The aim is to determine certain representations of a surface gr oup into the isometry group of the complex hyperbolic space.\n\n//indico.i ctp.it/event/a14210/ LOCATION:ICTP URL://indico.ictp.it/event/a14210/ END:VEVENT BEGIN:VEVENT SUMMARY:Poincaré Theory for compact abelian one-dimensional solenoidal gr oups DTSTART;VALUE=DATE-TIME:20140616T153000Z DTEND;VALUE=DATE-TIME:20140616T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14213@ictp.it DESCRIPTION:Abstract: The notion of Poincaré rotation number for homeomor phisms of the unit circle is generalized to the case of homeomorphisms of a general compact abelian one–dimensional solenoidal group\, which is al so a one–dimensional foliated space\; specifically\, the theory is devel oped for the algebraic universal covering space of the circle (the adèle class group of the rationals). Poincaré’s dynamical classification the orem is also generalized to homeomorphisms of solenoids whose rotation ele ment is an irrational element (i.e.\, monothetic generator) of the given g roup.\n\n//indico.ictp.it/event/a14213/ LOCATION:ICTP URL://indico.ictp.it/event/a14213/ END:VEVENT BEGIN:VEVENT SUMMARY:Counting points of wild character varieties DTSTART;VALUE=DATE-TIME:20140619T153000Z DTEND;VALUE=DATE-TIME:20140619T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14209@ictp.it DESCRIPTION:Abstract: I will briefly survey some techniques to count the n umber of points over that certain character varieties have over finite fie lds.\nThe formulas involve character tables of finite groups of Lie type a nd Hecke algebras as well.\n\n//indico.ictp.it/event/a14209/ LOCATION:ICTP URL://indico.ictp.it/event/a14209/ END:VEVENT BEGIN:VEVENT SUMMARY:SPECIAL PUBLIC LECTURE\n\n"On explicitly solvable ODE's" DTSTART;VALUE=DATE-TIME:20140623T160000Z DTEND;VALUE=DATE-TIME:20140623T180000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14214@ictp.it DESCRIPTION:Abstract\n\nWe discuss the problem of integration of ODE syste ms by quadratures. The main classical results on exact integration of gene ral nonlinear systems are the Euler-Jacobi theorem on the integrating fact or and the Lie theorem on the solvable algebra of symmetries. We present a general theory uniting these two approaches. \n\nWe generalize Darboux's classical results on the integrability of linear non-autonomous systems w ith an incomplete set of particular solutions. Special attention is paid t o linear Hamiltonian systems. \n\nWe also discuss the general problem of integrability of autonomous ODE systems in an n-dimensional space which ad mit an algebra of symmetry fields of dimension greater than or equal to n .\n\n//indico.ictp.it/event/a14214/ LOCATION:ICTP URL://indico.ictp.it/event/a14214/ END:VEVENT BEGIN:VEVENT SUMMARY:Lectures on D-modules DTSTART;VALUE=DATE-TIME:20140701T133000Z DTEND;VALUE=DATE-TIME:20140701T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14218@ictp.it DESCRIPTION:as a preparation to the mini course by Beilinson we are going to go through Berstein's lectures on D-modules. We will start tomorrow at 2.30pm in the Stasi room. The first installment will be given by Anton Mel lit.\n\n//indico.ictp.it/event/a14218/ LOCATION:ICTP URL://indico.ictp.it/event/a14218/ END:VEVENT BEGIN:VEVENT SUMMARY:Legendrian Knots\, constructible sheaves and wild character variet ies DTSTART;VALUE=DATE-TIME:20140707T130000Z DTEND;VALUE=DATE-TIME:20140707T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14223@ictp.it DESCRIPTION://indico.ictp.it/event/a14223/ LOCATION:ICTP URL://indico.ictp.it/event/a14223/ END:VEVENT BEGIN:VEVENT SUMMARY:Introductory mini-course on Basic ideas of Geometric Langlands cor respondence DTSTART;VALUE=DATE-TIME:20140717T130000Z DTEND;VALUE=DATE-TIME:20140717T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14224@ictp.it DESCRIPTION:Wednesday\, 9 July\, at 14:00 hrs.\nThursday\, 10 July\, at 14 :00 hrs.\n\nWednesday\, 16 July\, at 14:00 hrs.\nThursday\, 17 July\, at 1 4:00 hrs.\n\n//indico.ictp.it/event/a14224/ LOCATION:ICTP URL://indico.ictp.it/event/a14224/ END:VEVENT BEGIN:VEVENT SUMMARY:Finite multiple zeta values I DTSTART;VALUE=DATE-TIME:20140725T130000Z DTEND;VALUE=DATE-TIME:20140725T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14305@ictp.it DESCRIPTION://indico.ictp.it/event/a14305/ LOCATION:ICTP URL://indico.ictp.it/event/a14305/ END:VEVENT BEGIN:VEVENT SUMMARY:Finite multiple zeta values II DTSTART;VALUE=DATE-TIME:20140728T130000Z DTEND;VALUE=DATE-TIME:20140728T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14306@ictp.it DESCRIPTION://indico.ictp.it/event/a14306/ LOCATION:ICTP URL://indico.ictp.it/event/a14306/ END:VEVENT BEGIN:VEVENT SUMMARY:Compact moduli of noncommutative algebraic varieties via quivers DTSTART;VALUE=DATE-TIME:20140807T133000Z DTEND;VALUE=DATE-TIME:20140807T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14320@ictp.it DESCRIPTION:Abstract:\n(joint works with Tarig Abdelgadir and Kazushi Ueda ). It is known that the category of coherent sheaves on certain varieties\ , such as projective spaces and del Pezzo surfaces\, are derived equivalen t to the category of representations of certain quivers with relations. Wh en we allow the variety to deform\, even into the noncommutative direction s\, the relations of the quiver also deform correspondingly (with the quiv er unchanged). This allows us to construct `approximate' compactified modu li space of noncommutative deformations of such varieties as the moduli sp ace of relations of the corresponding quiver. In this talk I will explain the generality of this construction and what we know so far in the case of del Pezzo surfaces.\n\n//indico.ictp.it/event/a14320/ LOCATION:ICTP URL://indico.ictp.it/event/a14320/ END:VEVENT BEGIN:VEVENT SUMMARY:Hurwitz numbers for real polynomials DTSTART;VALUE=DATE-TIME:20140814T133000Z DTEND;VALUE=DATE-TIME:20140814T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14323@ictp.it DESCRIPTION:Abstract:\nWe introduce a signed count of real polynomials whi ch gives rise to a real analog of Hurwitz numbers in the case of polynomia ls. The invariants obtained allow one to show the abundance of real soluti ons in the corresponding enumerative problems: in many cases\, the number of real solutions is asymptotically equivalent (in the logarithmic scale) to the number of complex solutions.\nThis is a joint work with Dimitri Zvo nkine.\n\n//indico.ictp.it/event/a14323/ LOCATION:ICTP URL://indico.ictp.it/event/a14323/ END:VEVENT BEGIN:VEVENT SUMMARY:Volume of partially hyperbolic horseshoe-like attractors DTSTART;VALUE=DATE-TIME:20140826T130000Z DTEND;VALUE=DATE-TIME:20140826T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14327@ictp.it DESCRIPTION://indico.ictp.it/event/a14327/ LOCATION:ICTP URL://indico.ictp.it/event/a14327/ END:VEVENT BEGIN:VEVENT SUMMARY:Optimizing the first nonzero Neumann eigenvalue on the cylinder DTSTART;VALUE=DATE-TIME:20140923T133000Z DTEND;VALUE=DATE-TIME:20140923T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14339@ictp.it DESCRIPTION:Abstract:\n\nIn this talk\, we will discuss the characterizati on of domains maximizing the first non-zero Neumann eivgenvalue on a gener al cylinder.\nWe will also present our study of overdetermined problem whi ch arises from the Hadamard formula for this eigenvalue.\n\nA joint work w ith Tobias Weth\n\n//indico.ictp.it/event/a14339/ LOCATION:ICTP URL://indico.ictp.it/event/a14339/ END:VEVENT BEGIN:VEVENT SUMMARY:Basic Notions Seminar "Impartial Games" DTSTART;VALUE=DATE-TIME:20140925T143000Z DTEND;VALUE=DATE-TIME:20140925T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-a14345@ictp.it DESCRIPTION:An impartial game is a game in which two players\, taking turn s\, make a move allowed in the game\, each having complete information and where no chance is involved. The allowed moves\, in any given state in th e game\, are the same for both players. In normal play\, a player unable t o move looses.\n\nIn this talk I will discuss the remarkable fact that al l impartial games are essentially the same.\n\n//indico.ictp.it/event/a143 45/ LOCATION:ICTP URL://indico.ictp.it/event/a14345/ END:VEVENT BEGIN:VEVENT SUMMARY:Towards a bifurcation theory of random dynamical systems DTSTART;VALUE=DATE-TIME:20141003T130000Z DTEND;VALUE=DATE-TIME:20141003T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7283@ictp.it DESCRIPTION:Abstract:A bifurcation theory for random dynamical systems (ie dynamical systems with noise) is still only in its infancy. We discuss se veral recent developments on the basis of the very simple example of a pit chfork bifurcation in the presence of so-called additive noise. My present ation will touch upon recent joint work with Mark Callaway\, Martin Rasmu ssen\, Doan Thai Son and Christian Rodrigues.\n\n//indico.ictp.it/event/72 83/ LOCATION:ICTP Luigi Stasi Room URL://indico.ictp.it/event/7283/ END:VEVENT BEGIN:VEVENT SUMMARY:Switching limits in geometric representation theory DTSTART;VALUE=DATE-TIME:20141112T153000Z DTEND;VALUE=DATE-TIME:20141112T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7312@ictp.it DESCRIPTION:Abstract: Atiyah and Bott famously showed that Borel-Weil-Bott and the equivariant localization theorem for the flag manifold imply a pr oof of the Weyl-Character formula. I'll explain how generalizing this in a certain way to some infinite dimensional Kac-Moody requires that certain limits be switched for some infinite-dimensional varieties\, together with an idea of Graeme Segal\, and give some new sufficient conditions for whe n this may be done. This all sounds a bit technical\, but I really won't a ssume very much.\n\n//indico.ictp.it/event/7312/ LOCATION: LB - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7312/ END:VEVENT BEGIN:VEVENT SUMMARY:Spectral Properties of Group Algebra Elements DTSTART;VALUE=DATE-TIME:20141119T153000Z DTEND;VALUE=DATE-TIME:20141119T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7320@ictp.it DESCRIPTION:Abstract:\nWe are principally interested on determinant calcul ation and on eigenvalues with multiplicities determination of the regular representation of group algebra element. We first briefly review the repre sentation of group algebra and its connection with arrangements of hyperpl anes. After that\, we expose the determinant calculations of elements of t he group algebra of the symmetric group and of the hyperoctahedral group. We also expose the eigenvalues with multiplicities determination of an ele ment of the group algebra of the symmetric group. Then\, we finish with th e presentation of an open problem which is the eigenvalues with multiplici ties determination of an element of the group algebra of the hyperoctahedr al group.\n\n//indico.ictp.it/event/7320/ LOCATION: LB - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7320/ END:VEVENT BEGIN:VEVENT SUMMARY:Unirationality and rationality of Ueno-Campana manifolds DTSTART;VALUE=DATE-TIME:20141126T153000Z DTEND;VALUE=DATE-TIME:20141126T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7327@ictp.it DESCRIPTION://indico.ictp.it/event/7327/ LOCATION: Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7327/ END:VEVENT BEGIN:VEVENT SUMMARY:Introduction to curve counting DTSTART;VALUE=DATE-TIME:20150115T153000Z DTEND;VALUE=DATE-TIME:20150115T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7351@ictp.it DESCRIPTION:Abstract: There is a unique line through two points in the (co mplex projective) plane\, and a unique conic through five points in genera l position (i.e.\, no three of them on a line). Classical algebraic\ngeome try shows that given four general lines in 3-space\, there are exactly two lines intersecting all of them. These are easy examples of curve counting problems. We give an outline of the problems one wants to study and highl ight the need to choose a (suitable) compactification and of finding the d imension of the corresponding moduli space\; we then show how in some case s there are components of different dimensions and introduce the notion of expected dimension.\n\n//indico.ictp.it/event/7351/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7351/ END:VEVENT BEGIN:VEVENT SUMMARY: Reading Seminar on Curve Counting: 'Gromov-Witten theory I: ratio nal curves in P^2' DTSTART;VALUE=DATE-TIME:20150122T153000Z DTEND;VALUE=DATE-TIME:20150122T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7361@ictp.it DESCRIPTION://indico.ictp.it/event/7361/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7361/ END:VEVENT BEGIN:VEVENT SUMMARY:The Frobenius non-classical curves and minimal value set polynomia ls DTSTART;VALUE=DATE-TIME:20150123T153000Z DTEND;VALUE=DATE-TIME:20150123T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7363@ictp.it DESCRIPTION://indico.ictp.it/event/7363/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7363/ END:VEVENT BEGIN:VEVENT SUMMARY:Stability conditions and Frobenius manifolds DTSTART;VALUE=DATE-TIME:20150202T153000Z DTEND;VALUE=DATE-TIME:20150202T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7368@ictp.it DESCRIPTION:Abstract:\nThese talks will be about spaces of stability condi tions on Calabi-Yau quiver algebras. I want to discuss some not-very-well understood connections with the theory of semi-simple Frobenius manifolds. I will start with the usual motivation for stability conditions coming fr om mirror symmetry\, before discussing the example of the A_n quiver where one can make a precise connection with the Frobenius-Saito structure on t he unfolding space of the corresponding simple singularity. I will then co nsider the case of stability conditions on (local) P^2\, which should be c losely related to the quantum cohomology of P^2\, although so far this lin k is mostly conjectural. Finally\, I will discuss the Kontsevich-Soibelman wall-crossing formula\, which is the natural geometric structure existing on spaces of stability conditions in the Calabi-Yau threefold setting.\n\ n//indico.ictp.it/event/7368/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7368/ END:VEVENT BEGIN:VEVENT SUMMARY:Stability conditions and Frobenius manifolds DTSTART;VALUE=DATE-TIME:20150204T133000Z DTEND;VALUE=DATE-TIME:20150204T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7369@ictp.it DESCRIPTION:Abstract:\nThese talks will be about spaces of stability condi tions on Calabi-Yau quiver algebras. I want to discuss some not-very-well understood connections with the theory of semi-simple Frobenius manifolds. I will start with the usual motivation for stability conditions coming fr om mirror symmetry\, before discussing the example of the A_n quiver where one can make a precise connection with the Frobenius-Saito structure on t he unfolding space of the corresponding simple singularity. I will then co nsider the case of stability conditions on (local) P^2\, which should be c losely related to the quantum cohomology of P^2\, although so far this lin k is mostly conjectural. Finally\, I will discuss the Kontsevich-Soibelman wall-crossing formula\, which is the natural geometric structure existing on spaces of stability conditions in the Calabi-Yau threefold setting.\n\ n//indico.ictp.it/event/7369/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7369/ END:VEVENT BEGIN:VEVENT SUMMARY:Stability Conditions on the A2 Quiver DTSTART;VALUE=DATE-TIME:20150205T153000Z DTEND;VALUE=DATE-TIME:20150205T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7381@ictp.it DESCRIPTION://indico.ictp.it/event/7381/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7381/ END:VEVENT BEGIN:VEVENT SUMMARY:Gromov-Witten theory II: Counting elliptic curves in P^2 DTSTART;VALUE=DATE-TIME:20150212T153000Z DTEND;VALUE=DATE-TIME:20150212T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7370@ictp.it DESCRIPTION:(Reading Seminar on Curve Counting)\nAbstract:\nIn the first h alf of this seminar\, we continue the study of counting rational curves in P^2 and study the counting of elliptic curves in P^2. In the second half of this seminar\, we will study a simpler example: the Gromov-Witten invar iants of a point. Reference: Dubrovin\, B.\, Zhang\, Y. Bihamiltonian hier archies in 2D topological field theory at one-loop approximation.\n\n//ind ico.ictp.it/event/7370/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7370/ END:VEVENT BEGIN:VEVENT SUMMARY:Set-theoretic solutions of the Yang-Baxter equation DTSTART;VALUE=DATE-TIME:20150217T133000Z DTEND;VALUE=DATE-TIME:20150217T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7392@ictp.it DESCRIPTION:Abstract:\nThe Yang--Baxter equation is one of the basic equat ions in mathematical-physics. For that reason\, Drinfeld posed the questio n of finding set-theoretic (or combinatorial) solutions. In this talk we w ill give an overview of the theory and we will show how to produce new sol utions by means of extensions.\n\n//indico.ictp.it/event/7392/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7392/ END:VEVENT BEGIN:VEVENT SUMMARY:Minimal surface day DTSTART;VALUE=DATE-TIME:20150220T080000Z DTEND;VALUE=DATE-TIME:20150220T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7393@ictp.it DESCRIPTION:9:30 - Xiaoli Han (Tsinghua University\, Beijing)Compactness o f Minimal SurfacesAbstract: In this talk\, we will first review Choi-Schoe n’s proof of smooth compactness theorem for minimal surfaces in three ma nifold with positive scalar curvature. Then we will talk about compactness theorem for minimal surfaces with high codimension. Finally\, we plan to mention the compactness theorem for β-symplectic critical surfaces (which is still open).\n10:30 - Jaime Ripoll (Universidade do Rio Grande do Sol\ , Brasil)The asymptotic Plateau’s problem for minimal submanifolds and C MC hypersurfaces in a Hadamard manifold.\n11:45 - Ilkka Holopainen (Univer sity of Helsinki)Asymptotic Dirichlet problem for the minimal graph equati on on Cartan-Hadamard manifolds.\n14:00 - Jun Sun (Wuhan University)Rigidi ty Theorem for Minimal Submanifolds with Arbitrary Codimension Abstract: I n this talk\, we will talk about some rigidity theorems for minimal subman ifolds in Euclidean spaces\, due to the work of Jost-Xin and Jost-Xin-Yang .\n\n//indico.ictp.it/event/7393/ LOCATION:ICTP Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/7393/ END:VEVENT BEGIN:VEVENT SUMMARY:Introduction to virtual fundamental classes (Reading Seminar on Cu rve Counting) DTSTART;VALUE=DATE-TIME:20150226T153000Z DTEND;VALUE=DATE-TIME:20150226T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7398@ictp.it DESCRIPTION://indico.ictp.it/event/7398/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7398/ END:VEVENT BEGIN:VEVENT SUMMARY:Introduction to Donaldson-Thomas theory (Reading Seminar on Curve Counting) DTSTART;VALUE=DATE-TIME:20150305T153000Z DTEND;VALUE=DATE-TIME:20150305T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7399@ictp.it DESCRIPTION://indico.ictp.it/event/7399/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7399/ END:VEVENT BEGIN:VEVENT SUMMARY:Toric varieties\, higher duals and polytopes DTSTART;VALUE=DATE-TIME:20150311T153000Z DTEND;VALUE=DATE-TIME:20150311T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7409@ictp.it DESCRIPTION:\n Abstract: I will present joint work with several coauthors on the description of (higher) duals of (equivariantly embedded) toric var ieties and the relation with the associated polytopes/lattice configuratio ns. The interplay between algebraic geometry and combinatorics allows us t o prove algebro-geometric statements with combinatorial tools and combinat orial statements with algebro-geometric tools.\n\n//indico.ictp.it/event/7 409/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7409/ END:VEVENT BEGIN:VEVENT SUMMARY:Gromov-Witten invariants and integrable systems (Reading Seminar o n Curve Counting) DTSTART;VALUE=DATE-TIME:20150312T153000Z DTEND;VALUE=DATE-TIME:20150312T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7406@ictp.it DESCRIPTION://indico.ictp.it/event/7406/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7406/ END:VEVENT BEGIN:VEVENT SUMMARY:GW/DT correspondence (Reading seminar on curve counting) DTSTART;VALUE=DATE-TIME:20150326T153000Z DTEND;VALUE=DATE-TIME:20150326T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7421@ictp.it DESCRIPTION://indico.ictp.it/event/7421/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7421/ END:VEVENT BEGIN:VEVENT SUMMARY:On totally periodic w-limit sets DTSTART;VALUE=DATE-TIME:20150402T143000Z DTEND;VALUE=DATE-TIME:20150402T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7430@ictp.it DESCRIPTION:(Joint work with Issam Naghmouchi)\n\n//indico.ictp.it/event/7 430/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7430/ END:VEVENT BEGIN:VEVENT SUMMARY:Monodromy groups of almost toric fibrations on the complex project ive space. DTSTART;VALUE=DATE-TIME:20150423T143000Z DTEND;VALUE=DATE-TIME:20150423T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7443@ictp.it DESCRIPTION:Abstract:\n\n I would like to talk about the topology of almos t toric fibrations on the complex projective plane. In particular\, we con sider the monodromy problem for such fibrations. Surprisingly\, this probl em is reduced to solving the celebrated Markov equation. We also shall bri efly discuss a connection between counting of Lagrangian curves and topolo gy of almost toric fibrations.\n\n//indico.ictp.it/event/7443/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7443/ END:VEVENT BEGIN:VEVENT SUMMARY:On a refinement of a conjecture of Gross-Kohnen-Zagier DTSTART;VALUE=DATE-TIME:20150424T143000Z DTEND;VALUE=DATE-TIME:20150424T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7440@ictp.it DESCRIPTION:Summary:\n\n Let E be an elliptic curve over the field of rati onal numbers and let L(E\, s) be its L-function. The Birch and Swinnerton- Dyer formula predicts that the first non-zero coefficient of the Taylor ex pansion of L(E\, s) around s = 1 encodes some important arithmetic invaria nts attached to E. Assume that L(E\, s) has a simple zero at s = 1.\n By t he work of Wei Zhang we know that the p-part of the BSD formula holds for all primes p greater or equal to 5. Recently\, Chao Li has obtained some i nteresting results for p = 2. In this talk we shall discuss a refinement o f the 2-part of the conjecture introduced in the Gross-Kohnen-Zagier (1987 ) paper that seems resonant with some aspects of Chao Li's recent results. The talk is intended for a non-specialist audience and we will focus most ly on some explicit examples.\n\n//indico.ictp.it/event/7440/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7440/ END:VEVENT BEGIN:VEVENT SUMMARY:On the evolution problem for the Einstein-Vlasov system DTSTART;VALUE=DATE-TIME:20150424T120000Z DTEND;VALUE=DATE-TIME:20150424T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7447@ictp.it DESCRIPTION:\n Abstract: \n This talk is about the evolution problem assoc iated to the Einstein-Vlasov equations\, with initial data specified on tw o transversally intersecting characteristic hypersurfaces. The main existe nce and uniqueness result of the work is obtained by a contracting mapping principle\, combined with Sobolev inequalities and Moser estimates as wel l as energy inequalities for first order and second order linear hyperboli c equations. The whole investigation is conducted in appropriate weighted Sobolev spaces.\n\n//indico.ictp.it/event/7447/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7447/ END:VEVENT BEGIN:VEVENT SUMMARY:Quantum integrability and Schubert calculus DTSTART;VALUE=DATE-TIME:20150428T143000Z DTEND;VALUE=DATE-TIME:20150428T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7441@ictp.it DESCRIPTION:Abstract:\n\n We describe a new connection between quantum equ ivariant Schubert calculus\, the topic actively investigated in topology\, representation theory and combinatorics and a certain type of lattice int egrable system\, mathematically described as a particular commutative suba lgebra in a quantum group type associative algebra. We outline how this co nnection produces new results in both areas.\n\n//indico.ictp.it/event/744 1/ LOCATION:ICTP Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/7441/ END:VEVENT BEGIN:VEVENT SUMMARY:Proximality and regional proximality in topological dynamics DTSTART;VALUE=DATE-TIME:20150518T090000Z DTEND;VALUE=DATE-TIME:20150518T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7462@ictp.it DESCRIPTION:\n Let (X\,T) be a flow - a jointly continuous action of the t opological group T on the compact Hausdorff space X. The proximal and regi onally proximal relations give rise respectively to the distal and equicon tinuous structure relations. Another relation due to Veech coincides with the regionally proximal relation in many cases for minimal flows.\n\n//ind ico.ictp.it/event/7462/ LOCATION:ICTP Leonardo Building - Lecture Room D URL://indico.ictp.it/event/7462/ END:VEVENT BEGIN:VEVENT SUMMARY:Fixed point approximations of some nonlinear maps in abstract spac es DTSTART;VALUE=DATE-TIME:20150519T120000Z DTEND;VALUE=DATE-TIME:20150519T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7466@ictp.it DESCRIPTION:\n Abstract: In this discussion\, starting with a well known c ontraction mapping principle\, we shall discuss some other results in a pa rticular direction up to some recent ones.\n\n//indico.ictp.it/event/7466/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7466/ END:VEVENT BEGIN:VEVENT SUMMARY:Derived symplectic structures in Donaldson-Thomas theory and categ orification DTSTART;VALUE=DATE-TIME:20150527T143000Z DTEND;VALUE=DATE-TIME:20150527T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7467@ictp.it DESCRIPTION:\n Abstract: \n We will speak about Donaldson-Thomas theory as a motivating example to introduce the theory of derived symplectic struct ures by Pantev\, Toen\, Vaquie and Vezzosi and the theory of derived criti cal loci by Joyce. We will then use these theories to prove a Darboux theo rem for symplectic derived schemes and to construct on them perverse sheav es which are central in the problem of categorification.\n This is a joint work with Ben-Bassat\, Brav\, Dupont\, Joyce\, Meinhardt and Szendroi.\n\ n//indico.ictp.it/event/7467/ LOCATION:ICTP Leonardo Building - Lecture Room D URL://indico.ictp.it/event/7467/ END:VEVENT BEGIN:VEVENT SUMMARY:Effective hyperbolicity and SRB measures DTSTART;VALUE=DATE-TIME:20150603T093000Z DTEND;VALUE=DATE-TIME:20150603T103000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7475@ictp.it DESCRIPTION:Abstract:\nWe describe a notion of "effective hyperbolicity" t hat can be used to prove Hadamard-Perron theorems and establish existence of SRB measures for non-uniformly hyperbolic systems\, even in the absence of the usual tools such as a dominated splitting or countable Markov stru cture.\n\n//indico.ictp.it/event/7475/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7475/ END:VEVENT BEGIN:VEVENT SUMMARY:Conjugacy classes of pairs in SU(3\,1) DTSTART;VALUE=DATE-TIME:20150611T120000Z DTEND;VALUE=DATE-TIME:20150611T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7481@ictp.it DESCRIPTION:Abstract: I shall discuss an ongoing work with Sean Lawton and Shiv Parsad where our aim is to classify pairs of elements of SU(3\,1) up to conjugacy.\n\n//indico.ictp.it/event/7481/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7481/ END:VEVENT BEGIN:VEVENT SUMMARY:Tree-level Cohomological Field Theories\, Cyclic Commutative Infin ity Algebras and Formal Frobenius Manifolds DTSTART;VALUE=DATE-TIME:20150618T143000Z DTEND;VALUE=DATE-TIME:20150618T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7491@ictp.it DESCRIPTION:\nAbstract: \nLet (V\,g) be a free module with non-degenerate inner product over an algebra k of characteristic 0. \nI will present the diffent structures in the title that can be defined on (V\,g) and show the y are in bijection. In some directions the correspondence is formal\, othe r times it rests on the structure of the cohomology ring of the moduli\nsp ace of stable projective lines.\n\n//indico.ictp.it/event/7491/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7491/ END:VEVENT BEGIN:VEVENT SUMMARY:Quadratic Stochastic Operators on Simplex DTSTART;VALUE=DATE-TIME:20150624T123000Z DTEND;VALUE=DATE-TIME:20150624T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7492@ictp.it DESCRIPTION:Abstract:\n\n In this talk\, we first review some basic result s of square stochastic matrices concerning the convergence of power of squ are stochastic matrix. We also discuss a linear operator associated with a square stochastic matrix. This gives an advantage to interpret all result s by means of the language of dynamical system.\n In the second part of th is talk\, we discuss on a cubic stochastic matrix. Unlike square matrices\ , there is no proper multiplication of two cubic matrices in which the dim ension of matrices would remain invariant. That’s why we can’t speak a bout the inverse of cubic matrix (which is the important concept) and the power of cubic matrices. However\, for each cubic stochastic matrix we can associate a quadratic operator acting on the finite dimensional simplex.\ n By this way\, we can consider the similar problem which was studied in t he linear case. For example\, due to the Perron-Frobenius theorem\, the tr ajectory of linear operator associated with the positive square stochastic matrix converges to a unique fixed point. It is natural to ask the simila r question for quadratic operators\, i.e.\, does the trajectory of quadrat ic operator associated with the positive cubic stochastic matrix converge to a unique fixed point? However\, this is wrong in general. The main reas on is that a quadratic operator associated with positive cubic stochastic matrix may have many fixed points. The first attempt to provide an example for quadratic stochastic operators with positive coefficients having thre e fixed points was done by A.A. Krapivin (Lyubich’s former graduate stud ent) and Y.I. Lyubich. However\, it turns out that their examples were wro ng.\n We showed that Krapivin-Lyubich examples have a unique fixed point. Moreover\, we provide an example for a family of quadratic stochastic oper ators with positive coefficients which have three fixed points. Consequent ly\, the question mentioned above does not have an affirmative answer in g eneral. If it is a case\, can we find an affirmative answer for some class of quadratic operators? The last but not least\, we also provide a class of quadratic stochastic operators (which are not contraction) in which the ir trajectory converges a unique fixed point.\n\n//indico.ictp.it/event/74 92/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7492/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-COURSE - Introduction to Hodge theory: classic and p-adic DTSTART;VALUE=DATE-TIME:20150630T120000Z DTEND;VALUE=DATE-TIME:20150630T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7572@ictp.it DESCRIPTION:First lecture of the Mini-course on "Introduction to Hodge the ory: classic and p-adic".\nFull calendar to be published soon.\n\n//indico .ictp.it/event/7572/ LOCATION:ICTP Leonardo Building - Lecture Room D URL://indico.ictp.it/event/7572/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-COURSE - Introduction to Hodge theory: classic and p-adic DTSTART;VALUE=DATE-TIME:20150702T120000Z DTEND;VALUE=DATE-TIME:20150702T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7580@ictp.it DESCRIPTION:Second lecture of the Mini-course on "Introduction to Hodge th eory: classic and p-adic".\n\n//indico.ictp.it/event/7580/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7580/ END:VEVENT BEGIN:VEVENT SUMMARY:Topics in Symplectic Geometry\, Riemannian Geometry and Rational H omotopy Theory DTSTART;VALUE=DATE-TIME:20150710T120000Z DTEND;VALUE=DATE-TIME:20150710T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7577@ictp.it DESCRIPTION:\n Abstract: This talk is intended to a general audience. Symp lectic geometry is at the crossroad of Riemannian geometry\, Complex Analy sis and Rational Homotopy theory. We briefly review the basic notions and show the links between these subjects. Then we outline some problems we (A .Banyaga\, J.B. Gatsinzi\, and F. Massamba) are working on\, concerning th e path from symplectic structures to Kaehler structures\, and the link to the notion of formality in Rational Homotopy theory.\n\n//indico.ictp.it/e vent/7577/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7577/ END:VEVENT BEGIN:VEVENT SUMMARY:A zeta-function of a dg-category DTSTART;VALUE=DATE-TIME:20150713T140000Z DTEND;VALUE=DATE-TIME:20150713T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7581@ictp.it DESCRIPTION:Abstract:\nI will define a zeta-function of a dg-category and discuss its properties (multiplicativity\, compatibility with Kapranov's z eta-function of a variety\, rationality...). This is a joint work with Evg eny Shinder arxiv:1506.05831.\n\n//indico.ictp.it/event/7581/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7581/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-COURSE - Introduction to Hodge theory: classic and p-adic DTSTART;VALUE=DATE-TIME:20150714T120000Z DTEND;VALUE=DATE-TIME:20150714T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7578@ictp.it DESCRIPTION:Third lecture of the Mini-course on "Introduction to Hodge the ory: classic and p-adic".\n\n//indico.ictp.it/event/7578/ LOCATION:ICTP Leonardo Building - Lecture Room D URL://indico.ictp.it/event/7578/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-COURSE - Introduction to Hodge theory: classic and p-adic DTSTART;VALUE=DATE-TIME:20150716T120000Z DTEND;VALUE=DATE-TIME:20150716T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7579@ictp.it DESCRIPTION:Fourth (and last) lecture of the Mini-course on "Introduction to Hodge theory: classic and p-adic".\n\n//indico.ictp.it/event/7579/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7579/ END:VEVENT BEGIN:VEVENT SUMMARY:Unbiased bases and mirror symmetry DTSTART;VALUE=DATE-TIME:20150716T140000Z DTEND;VALUE=DATE-TIME:20150716T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7583@ictp.it DESCRIPTION:Abstract:\nI will show how the problem of pairs of mutually un biased bases can be interpreted as an intersection of two Lagrangian vari eties in a product of  coadjoint orbits. Using a symplectic embedding of the cotangent bundle to one of these Lagrangian varieties into the produc t\, we realize the intersection as critical points of a potential\, which is a Laurent polynomial. We describe the mirror dual symplectic toric var iety via the Birkoff polytope of double stochastic matrices and explain its relation to hyperkahler rotation.\n\n//indico.ictp.it/event/7583/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7583/ END:VEVENT BEGIN:VEVENT SUMMARY:Resolvent Operators for Linear Homogeneous Integro-differential Eq uations with Applications to Controllability DTSTART;VALUE=DATE-TIME:20150721T123000Z DTEND;VALUE=DATE-TIME:20150721T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7582@ictp.it DESCRIPTION://indico.ictp.it/event/7582/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7582/ END:VEVENT BEGIN:VEVENT SUMMARY:LG models on adjoint orbits DTSTART;VALUE=DATE-TIME:20150721T140000Z DTEND;VALUE=DATE-TIME:20150721T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7588@ictp.it DESCRIPTION:\n Abstract: In joint work with Grama and San martin we have s howed that adjoint orbits of semisimple Lie algebras have the structure of symplectic Lefschetz fibrations. I will describe some consequences of our construction\, such as the topology of regular fibres and features of the Hodge diamonds of their compactifications.\n\n//indico.ictp.it/event/7588 / LOCATION:ICTP Leonardo Building - Lecture Room D URL://indico.ictp.it/event/7588/ END:VEVENT BEGIN:VEVENT SUMMARY:Twisted Pure Spinors and Riemannian Holonomy DTSTART;VALUE=DATE-TIME:20150804T123000Z DTEND;VALUE=DATE-TIME:20150804T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7589@ictp.it DESCRIPTION:Abstract:\nIn this talk I will introduce a generalization of t he notion of pure spinor with the aim of characterizing Berger's special R iemannnian holonomy groups in a standard way. Recall that complex structur es are characterized by pure spinors and Kaehler structures are characteri zed by (projectively) parallel pure spinors. Thus\, we will consider twist ed spin groups $Spin(n)\\times_{\\mathbb{Z}_2} Spin(r)$\, their representa tions\, and twisted spinors which induce even Clifford algebra representat ions on $\\mathbb{R}^n$. After defining twisted spin structures\, this alg ebraic set up enables us to characterize special Riemannian holonomies spi norially.\n\n//indico.ictp.it/event/7589/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7589/ END:VEVENT BEGIN:VEVENT SUMMARY:Algebraic symplectic reduction for the additive group DTSTART;VALUE=DATE-TIME:20150820T143000Z DTEND;VALUE=DATE-TIME:20150820T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7671@ictp.it DESCRIPTION:Abstract: \nAlgebraic symplectic reduction is a method for con structing quotients of algebraic group actions on algebraic symplectic var ieties\, such that the quotients are also algebraic symplectic. We will ov erview how moment maps and geometric invariant theory for reductive groups is used to perform the reduction\, give some examples\, and describe how to construct algebraic symplectic analogues of reductive group quotients. We'll give some motivation for studying non-reductive group and explain so me new results for the additive group.\n\n//indico.ictp.it/event/7671/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7671/ END:VEVENT BEGIN:VEVENT SUMMARY:Mysterious duality and the 5 string theories DTSTART;VALUE=DATE-TIME:20150908T123000Z DTEND;VALUE=DATE-TIME:20150908T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7692@ictp.it DESCRIPTION:Abstract:\nI will explain the mysterious link\, first noticed by B. Julia & C. Vafa\, between maximal supergravity theories and del Pezz o surfaces.\nFrom there\, a speculative leap leads to a collection of 5 ma thematical objects that could be in natural correspondence with the 5 type s of string theory.\n\n//indico.ictp.it/event/7692/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7692/ END:VEVENT BEGIN:VEVENT SUMMARY:Polar harmonic Maass forms DTSTART;VALUE=DATE-TIME:20150909T123000Z DTEND;VALUE=DATE-TIME:20150909T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7685@ictp.it DESCRIPTION:\n Abstract: Classical modular forms are holomorphic functions that are meromorphic at the cusps and satisfy nice modular symmetries. Ha rmonic Maass forms are real-analytic generalizations thereof in that inste ad of being holomorphic they are annihilated by the weight k Laplace opera tor. These functions generalize Maass waveforms\, which are of weight 0 an d decay in the cusps. Recently there has been an active interest in harmon ic Maass forms\, as their holomorphic parts (so-called mock modular forms) naturally occur in various areas of mathematics and physics. The probably most famous example of mock modular forms are given by Ramanujan's mock t heta function which he introduced in his last letter to Hardy shortly befo re he died. In this talk I instead consider Maass forms which are also all owed to have poles in the upper half plane and give various applications o f such functions including Hardy-Ramanujan type formulas for meromorphic m odular forms. All this is joint work with Ben Kane. \n\n//indico.ictp.it/e vent/7685/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7685/ END:VEVENT BEGIN:VEVENT SUMMARY:Noetherian Operators and the Weyl algebra DTSTART;VALUE=DATE-TIME:20150914T140000Z DTEND;VALUE=DATE-TIME:20150914T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7698@ictp.it DESCRIPTION:Abstract: \n\n We give an explicit and purely algebraic proof for the existence of noetherian dierential operators for primary ideals of polynomial algebras. The proof of this important result in uses complicat ed algebraic and analytic techniques. Later U. Oberst gave an elementary a nd constructive proof . In this talk we propose a different proof from the one of U. Oberst. The proof requires several steps. First we use Noether' s Normalization Theorem for prime ideals  and reduce the proof to the cas e when P is a maximal ideal.\n In this situation we employ Kashiwara's Dec omposition theorem  to reduce the proof to n=1.\n\n//indico.ictp.it/event /7698/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7698/ END:VEVENT BEGIN:VEVENT SUMMARY:Discriminant of a homogeneous symmetric polynomial DTSTART;VALUE=DATE-TIME:20150921T140000Z DTEND;VALUE=DATE-TIME:20150921T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7699@ictp.it DESCRIPTION://indico.ictp.it/event/7699/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7699/ END:VEVENT BEGIN:VEVENT SUMMARY:Ergodic properties of impulsive semiflows DTSTART;VALUE=DATE-TIME:20150924T140000Z DTEND;VALUE=DATE-TIME:20150924T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7702@ictp.it DESCRIPTION:Abstract:\n\n An impulsive semiflow is prescribed by three ing redients: a continuous semiflow on a space $X$ which governs the state of the system between impulses\; a set $D \\subset X$ where the flow undergoe s some abrupt changes\, whose duration is\, however\, negligible in compar ison with the time length of the whole process\; and an impulsive function $I:D\\to X$ which specifies how a jump event happens each time a trajecto ry of the flow hits $D$\, and whose action may be a source of discontinuit ies on the trajectories. Dynamical systems with impulsive effects appear t o be an appropriate mathematical model to describe real phenomena that exh ibit sudden changes in their behavior. In this talk we give sufficient con ditions for the existence of invariant probability measures for impulsive semiflows and establish a Variational Principle. Joint work with Maria Car valho and Carlos Vásquez.\n\n//indico.ictp.it/event/7702/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7702/ END:VEVENT BEGIN:VEVENT SUMMARY:Some tools for Primality Proving Algorithms and Jacobians Varietie s DTSTART;VALUE=DATE-TIME:20150928T140000Z DTEND;VALUE=DATE-TIME:20150928T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7700@ictp.it DESCRIPTION:Abstract:\n\n That is a talk in two parts. The first one is ab out algorithms for determining whether a given integer n is prime or compo site. The simplest algorithms\, namely the Miller-Rabin test and the PocKl ington-Lehmer algorithm\, use properties of Z/nZ. However Z/nZ-algebras pl ay an important role in the construction of powerful primality tests. We w ill recall a few properties of Galois ring extensions of Z/nZ. And then we will describe how we use them for primality testing algorithms. The secon d part of the talk will be concerned with the problem of computing the quo tient of the Jacobian variety J of an hyperelliptic curve C by a certain s ubgroup. We will start from the genus one case (with elliptic curves).\n\n //indico.ictp.it/event/7700/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7700/ END:VEVENT BEGIN:VEVENT SUMMARY:Uniform vector bundles on rational homogeneous spaces DTSTART;VALUE=DATE-TIME:20150929T140000Z DTEND;VALUE=DATE-TIME:20150929T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7703@ictp.it DESCRIPTION:Abstract:\n\n Let $X$ be a rational homogeneous space. It is w ell known that $X$ can be embedded in a projective space so that it is cov ered by lines. A vector bundle on $X$ is said to be uniform if its restric tion to any line is the same.\n Given a vector bundle $E$ on $X$\, a point $x\\in X$\, and a line $\\ell\\subset X$ through $x$\, one can construct in a natural way a flag on the fiber of $E$ at $x$: $$ E^1_{x\,\\ell}\\sub set E^2_{x\,\\ell} \\subset \\cdots \\subset E^k_{x\,\\ell}=E_x. $$ When t he vector bundle $E$ is uniform\, the dimensions $d_i=\\dim E^i_{x\,\\ell} $ do not depend on the choice of the line $\\ell$. So one gets a morphism: $$ s_{E\,x}:H_x\\to F(d_1\, d_2\, \\dots\, d_k\; E_x) $$ from the space $ H_x$ of lines on $X$ through $x$ to the appropriate flag variety.\n This m orphism encodes geometric properties of $E$. For instance\, we show that t he morphism $s_{E\,x}$ is constant if and only if $E$ splits as a sum of l ine bundles. This result generalizes and provides a unified proof of sever al splitting criteria for uniform vector bundles on rational homogeneous s paces.\n This is a joint work with Nicolas Puignau.\n\n//indico.ictp.it/ev ent/7703/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7703/ END:VEVENT BEGIN:VEVENT SUMMARY:Teichmueller curves and Witten invariants of pseudo-Anosov mapping tori DTSTART;VALUE=DATE-TIME:20151021T123000Z DTEND;VALUE=DATE-TIME:20151021T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7717@ictp.it DESCRIPTION:Abstract: \n\n In his quantum field theoretic interpretation o f the Jones polynomial\, E. Witten outlined a construction of a (projectiv e) local system on the moduli space of curves and used the monodromy repre sentation of this local system to define 'quantum' invariants of 3-manifol ds called mapping tori. Amongst all mapping tori\, pseudo-Anosov mapping t ori are the only ones which are hyperbolic and it is expected that their q uantum invariant is related to their hyperbolic volume. We will show how o ne can use Teichmueller curves to compute quantum invariants of pseudo-Ano sov mapping tori.\n For concreteness\, we will recall the construction of the local system\, which comes from geometric quantization of the moduli s pace of semi stable vector bundles or a 2-dimensional conformal field theo ry\, in the case of genus two curves where it can be explicitly written do wn. We will compute the monodromy of this local system restricted to a par ticular Teichmueller curve and talk about the pseudo-Anosov mapping tori a nd their quantum invariants coming from this example.\n\n//indico.ictp.it/ event/7717/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7717/ END:VEVENT BEGIN:VEVENT SUMMARY:Teichmueller curves and Witten invariants of pseudo-Anosov mapping tori (part II) DTSTART;VALUE=DATE-TIME:20151026T150000Z DTEND;VALUE=DATE-TIME:20151026T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7729@ictp.it DESCRIPTION:Abstract:\n\n In his quantum field theoretic interpretation of the Jones polynomial\, E. Witten outlined a construction of a (projective ) local system on the moduli space of curves and used the monodromy repres entation of this local system to define 'quantum' invariants of 3-manifold s called mapping tori. Amongst all mapping tori\, pseudo-Anosov mapping to ri are the only ones which are hyperbolic and it is expected that their qu antum invariant is related to their hyperbolic volume. We will show how on e can use Teichmueller curves to compute quantum invariants of pseudo-Anos ov mapping tori. For concreteness\, we will recall the construction of the local system\, which comes from geometric quantization of the moduli spac e of semi stable vector bundles or a 2-dimensional conformal field theory\ , in the case of genus two curves where it can be explicitly written down. We will compute the monodromy of this local system restricted to a partic ular Teichmueller curve and talk about the pseudo-Anosov mapping tori and their quantum invariants coming from this example.\n\n//indico.ictp.it/eve nt/7729/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7729/ END:VEVENT BEGIN:VEVENT SUMMARY:Special values of L-functions and congruences of modular forms DTSTART;VALUE=DATE-TIME:20151028T133000Z DTEND;VALUE=DATE-TIME:20151028T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7718@ictp.it DESCRIPTION:Abstract:\nLet f and g be two modular forms that are eigenvect ors for all the Hecke operators. Let \\lambda_f (n) and \\lambda_g (n) be the respective eigenvalues for the T(n) operator. Then f and g are said to be congruent mod a prime p if \\lambda_f (n) is congruent to \\lambda_g ( n) mod p\, for all n. Such congruences have been historically important ha ve lead to studying p-adic families of modular forms. In the early 80s\, H ida proved an important relationship between congruences and the special v alues of certain L-functions attached to modular forms. In my talk\, I wil l review these results and discuss some of its generalizations.\n\n//indic o.ictp.it/event/7718/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7718/ END:VEVENT BEGIN:VEVENT SUMMARY:Vertex operator algebras with central charges -46/3 and -3/5 and m inimal models DTSTART;VALUE=DATE-TIME:20151030T150000Z DTEND;VALUE=DATE-TIME:20151030T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7733@ictp.it DESCRIPTION:\n Abstract:\n In this talk vertex operator algebras with cent ral charge -46/3 and -3/5 whose space of characters are 4-diminsinal are s tudied. We show that under the mild conditions these vertex operator algeb ras are isomorphic to the minimal series Virasoro vertex operator algebras .\n\n//indico.ictp.it/event/7733/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7733/ END:VEVENT BEGIN:VEVENT SUMMARY:A proof of the shuffle conjecture DTSTART;VALUE=DATE-TIME:20151109T150000Z DTEND;VALUE=DATE-TIME:20151109T165000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7734@ictp.it DESCRIPTION:16:00 - 16:50   Part I - Basic introduction16:50 - 17:00   Coffee break\n17:00 - 17:50   Part II - Technical discussion\n Abstract : The shuffle conjecture gives a combinatorial interpretation of certain g enerating functions arising from the study of the action of the permutatio n group S_n on the algebra of polynomials in 2n variables x_1\, y_1\,...\, x_n\, y_n. The combinatorial side is given in terms of certain objects ca lled parking functions\, and the generating functions that arise there can be thought of as generalizations of Catalan numbers. The conjecture was f ormulated by Haglund and his collaborators in 2005\, and since then attrac ted a lot of interest of algebraic combinatorists. During Erik Carlsson's stay at ICTP last year we were able to prove the conjecture\, and that's w hat the talk will be about. First 50 minutes are intended for a general au dience\, I will talk about symmetric functions and demonstrate some import ant general tools for dealing with the generating functions of the kind we encountered. After a short break I will continue with more details on our proof.\n\n//indico.ictp.it/event/7734/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7734/ END:VEVENT BEGIN:VEVENT SUMMARY:Gluing of Geometric PDEs: Obstructions vs. Constructions for Mini mal Surfaces & Mean Curvature Flow Solitons - PART I DTSTART;VALUE=DATE-TIME:20151112T133000Z DTEND;VALUE=DATE-TIME:20151112T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7738@ictp.it DESCRIPTION:Abstract:\n\n The goal of these two 90 minutes talks will be t o (i) Give an introduction to mean curvature flow (the steepest descent fl ow for the area of hypersurfaces)\, and singularity formation in this flow \, and to (ii) Introduce and explain in some detail the specific gluing te chniques for nonlinear partial differential equations\, developed in the c ontext of minimal surfaces (e.g. mean curvature $H=0$)\, which ultimately lead to construction of new examples of singularity models (solitons).\n S EE ATTACHED ABSTRACT FOR FURTHER DETAILS\n\n//indico.ictp.it/event/7738/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7738/ END:VEVENT BEGIN:VEVENT SUMMARY:The Varchenko Determinant of Coxeter Arrangement DTSTART;VALUE=DATE-TIME:20151123T150000Z DTEND;VALUE=DATE-TIME:20151123T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7743@ictp.it DESCRIPTION:Abstract:\n\n The Varchenko determinant is defined on hyperpla ne arrangement. It was a general formula which can be written in a more ex plicit way on arrangement of real reflection group. We briefly review the definition and the general expression of this determinant. Then we mainly present the different aspects of the real reflection groups (in algebra as finite Coxeter groups\, in geometry as Coxeter arrangements\, and in comb inatorics as Coxeter complexes)\, and how these different aspects interact each other. We finish by talking on the role played by each aspect for th e calculation of the Varchenko determinant of any Coxeter arrangement.\n T his research was done in cooperation with Goetz Pfeiffer from the National University of Ireland\, Galway.\n\n//indico.ictp.it/event/7743/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7743/ END:VEVENT BEGIN:VEVENT SUMMARY:Estimates of Hilbert modular cusp forms of integral and half-integ ral weight DTSTART;VALUE=DATE-TIME:20151125T140000Z DTEND;VALUE=DATE-TIME:20151125T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7746@ictp.it DESCRIPTION:Abstract:\n\n In this talk\, we describe a geometric approach from theory of heat kernels and geometric analysis to derive estimates of Hilbert modular cusp forms of integral and half-integral weight. As an app lication\, we give a proof of an average version of AQUE.\n\n//indico.ictp .it/event/7746/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7746/ END:VEVENT BEGIN:VEVENT SUMMARY:Gluing of Geometric PDEs: Obstructions vs. Constructions for Mini mal Surfaces & Mean Curvature Flow Solitons - PART II DTSTART;VALUE=DATE-TIME:20151126T133000Z DTEND;VALUE=DATE-TIME:20151126T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7739@ictp.it DESCRIPTION:Abstract:\n\n The goal of these two 90 minutes talks will be t o (i) Give an introduction to mean curvature flow (the steepest descent fl ow for the area of hypersurfaces)\, and singularity formation in this flow \, and to (ii) Introduce and explain in some detail the specific gluing te chniques for nonlinear partial differential equations\, developed in the c ontext of minimal surfaces (e.g. mean curvature $H=0$)\, which ultimately lead to construction of new examples of singularity models (solitons).\n S EE ATTACHED ABSTRACT FOR FURTHER DETAILS\n\n//indico.ictp.it/event/7739/ LOCATION:SISSA Room 137 URL://indico.ictp.it/event/7739/ END:VEVENT BEGIN:VEVENT SUMMARY:Bonn-London-Moscow-Trieste four-city meetings on Algebra\, Number Theory and Geometry DTSTART;VALUE=DATE-TIME:20151128T083000Z DTEND;VALUE=DATE-TIME:20151129T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7753@ictp.it DESCRIPTION:\n The workshop will be very informal with only a few talks pe r day and plenty of time for discussion. Activities will start on Saturday 28 November at 9:30 in the Stasi Room of the Leonardo Building with an or ganizational meeting to discuss the schedule of the whole event. The first talk will be at 10:00am.\n The core participants of this weekend's meetin g are:\n\n Alessio Corti (Imperial College)\n \n Boris Dubrovin (SISSA)\ n \n Vasily Golyshev (Moscow)\n \n Anton Mellit (SISSA)\n \n Fernando R odriguez Villegas (ICTP)\n \n Don Zagier (ICTP/MPI)\n\n\n//indico.ictp.it /event/7753/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7753/ END:VEVENT BEGIN:VEVENT SUMMARY:Multiple zeta values and multiple Eisenstein series DTSTART;VALUE=DATE-TIME:20151208T130000Z DTEND;VALUE=DATE-TIME:20151208T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7761@ictp.it DESCRIPTION://indico.ictp.it/event/7761/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7761/ END:VEVENT BEGIN:VEVENT SUMMARY:The geometry of spaces of stability conditions DTSTART;VALUE=DATE-TIME:20160127T150000Z DTEND;VALUE=DATE-TIME:20160127T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7776@ictp.it DESCRIPTION:\n Abstract: \n I will survey what is known about the geometry of spaces of stability conditions on triangulated categories\, focussing on what we can learn from a class of categories associated to triangulatio ns of marked surfaces.\n\n//indico.ictp.it/event/7776/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7776/ END:VEVENT BEGIN:VEVENT SUMMARY:Expanding Lorenz maps with abundance of invariant ergodic probabil ities having +∞ as Lyapunov exponent DTSTART;VALUE=DATE-TIME:20160201T160000Z DTEND;VALUE=DATE-TIME:20160201T165000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7774@ictp.it DESCRIPTION:\n Abstract: \n We show that there are Cr Lorenz maps f : [− 1\, 1] \\ {0} → [−1\, 1]\, r ≥ 2\, with uncountable many ergodic inv ariant probabilities μ with positive entropy\, infinite Lyapunov exponent \, full support (suppμ = [−1\, 1]) and fast recurrence to the singulari ty. Such measures make more difficult the study of the Thermodynamical For malism for the expanding Lorenz maps. On the other hand\, we also give a g eneric condition for a Lorenz map to present only invariant probabilities with finite Lyapunov exponent and slow recurrence to the singularity. We a lso discuss the Thermodynamical Formalism for both cases.\n\n//indico.ictp .it/event/7774/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7774/ END:VEVENT BEGIN:VEVENT SUMMARY:Topological attractors for Contracting Lorenz Maps DTSTART;VALUE=DATE-TIME:20160201T150000Z DTEND;VALUE=DATE-TIME:20160201T155000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7775@ictp.it DESCRIPTION:\n Abstract: \n We show that contracting Lorenz maps with nega tive Schwarzian derivative have only one topological attractor. More preci sely\, if such a map f has no finite attractor (periodic attractors or sup er-attractors)\, then there is a transitive compact set such that it is th e omega-limit for a residual set of the interval. From the techniques deve loped to get this we also have a Spectral Decomposition Theory for these L orenz maps.\n\n//indico.ictp.it/event/7775/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7775/ END:VEVENT BEGIN:VEVENT SUMMARY:Joint ICTP/SISSA Geometric Analysis Seminar on "Scalar curvature a nd harmonic maps" DTSTART;VALUE=DATE-TIME:20160218T133000Z DTEND;VALUE=DATE-TIME:20160218T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7808@ictp.it DESCRIPTION://indico.ictp.it/event/7808/ LOCATION:SISSA A-005 URL://indico.ictp.it/event/7808/ END:VEVENT BEGIN:VEVENT SUMMARY:Lagrange spectrum of Veech surfaces DTSTART;VALUE=DATE-TIME:20160223T140000Z DTEND;VALUE=DATE-TIME:20160223T145000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7796@ictp.it DESCRIPTION:\n Abstract: \n The Lagrange spectrum is a classical object in Diophantine approximation on the real line that has been generalised to m any different settings. In particular\, recently it has been generalised t o a similar object for translation surfaces\, which attracted quite some a ttention in the field. We study the Lagrange spectrum in the contest of Ve ech translation surfaces. These are particular translation surfaces with m any symmetries\, that can be thought as a dynamical equivalent of the toru s in higher genera.\n Together with L. Marchese and C. Ulcigrai\, we show that for such surfaces\, similarly to what happens in the classical case\, the Lagrange spectrum contains an infinite interval\, called Hall ray. In our construction we use coding of hyperbolic geodesics and we deduce a fo rmula that allows to describe high values in the spectrum as a sum of two Cantor sets.\n Time permitting\, we will also talk about an ongoing projec t about a specific class of examples of Veech surfaces: the surfaces obtai ned by gluing a regular 2n-gon. In this case one can prove finer result\, for instance studying the minimum of the spectrum\, the so-called Hurwitz constant.\n\n//indico.ictp.it/event/7796/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7796/ END:VEVENT BEGIN:VEVENT SUMMARY:Prescribing (constant) scalar curvature DTSTART;VALUE=DATE-TIME:20160303T130000Z DTEND;VALUE=DATE-TIME:20160303T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7820@ictp.it DESCRIPTION:\n GEOMETRIC ANALYSIS SEMINARS 2016Abstract: In this on-going scalar curvature seminar series\, we last time heard from Claudio Arezzo a bout the role of scalar curvature in the theory of Sacks-Uhlenbeck/Schoen- Yau concerning existence of harmonic maps and incompressible minimal surfa ces. The main conclusion was of the form: For a Riemannian 3-manifold (M3\ , g)\, having positive scalar curvature implies a topological phenomenon: That there are no 'holes' inside M3 which 'look like' a genus >=1 surface. \n This time around we will look at a different (but related) aspect\, usi ng the theory of Kazdan-Warner and Yamabe/Trudinger/Aubin/Schoen: Given a manifold Mn\, which functions (and of special interest: the constant ones) can be the scalar curvature of some metric on Mn?". The setting here is t o start with a metric g and search only within the same conformal class [g ]\, which is a natural reduction of the problem to "just" one second order nonlinear PDE in one scalar function on M.\n\n//indico.ictp.it/event/7820 / LOCATION:SISSA Room 133 URL://indico.ictp.it/event/7820/ END:VEVENT BEGIN:VEVENT SUMMARY:Splitting Principles\, Monotonicity Formulas and Geometric Inequal ities DTSTART;VALUE=DATE-TIME:20160317T130000Z DTEND;VALUE=DATE-TIME:20160317T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7831@ictp.it DESCRIPTION:\n Abstract:\n The aim of this seminar is to describe\, throug h a couple of examples coming form classical potential theory and general relativity\, the interplay between some basic Riemannian splitting princip les and the rigidity case of relevant geometric inequalities\, such as the Willmore-Chern inequality for compact hypersurfaces in Euclidean space or the Riemannian Penrose inequality for static black holes. As a counterpar t of this fact\, we will see that\, beside the characterization of the rig idity case\, our methods can be used to produce new monotonicity formulas\ , which imply in turn the inequality under consideration in its full gener ality.The results presented are obtained in collaboration with V. Agostini ani. \n\n//indico.ictp.it/event/7831/ LOCATION:SISSA A-137 URL://indico.ictp.it/event/7831/ END:VEVENT BEGIN:VEVENT SUMMARY:Resolving rational surface singularities via noncommutative algebr a DTSTART;VALUE=DATE-TIME:20160506T080000Z DTEND;VALUE=DATE-TIME:20160506T090000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7875@ictp.it DESCRIPTION:\n Abstract:  In algebraic geometry it is very natural to wor k with commutative algebras\, but there are situations where noncommutativ e algebras also encode interesting geometric information. I will discuss h ow certain noncommutative algebras are linked to minimal resolutions of ra tional surface singularities.\n\n//indico.ictp.it/event/7875/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7875/ END:VEVENT BEGIN:VEVENT SUMMARY:Towards a Poincaré theory for the boundary dynamics of 2D topolog ical disks DTSTART;VALUE=DATE-TIME:20160610T123000Z DTEND;VALUE=DATE-TIME:20160610T131500Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7897@ictp.it DESCRIPTION:\n Abstract: The boundary of an open topological disk in a clo sed surface is a continuum and may have a very complicated topology. In th is talk\, we will discuss the dynamics of a surface homeomorphism on the b oundary of invariant open disks and we investigate an analogue of Poincar é's classification of circle homeomorphisms for this context.\n\n//indico .ictp.it/event/7897/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7897/ END:VEVENT BEGIN:VEVENT SUMMARY:Circle maps with break points DTSTART;VALUE=DATE-TIME:20160610T133000Z DTEND;VALUE=DATE-TIME:20160610T144500Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7898@ictp.it DESCRIPTION:Abstract: I plan to discuss the setting and formulate some new results.\n\n//indico.ictp.it/event/7898/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7898/ END:VEVENT BEGIN:VEVENT SUMMARY: Some examples of using Magma DTSTART;VALUE=DATE-TIME:20160622T120000Z DTEND;VALUE=DATE-TIME:20160622T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7907@ictp.it DESCRIPTION:\n Abstract: \n We will give some examples of how to use the M agma computer algebra system\, from fairly basic ones involving just achie ving valid input and understanding Magma output\, to more complicated func tionality as according to the interests of the audience.\n\n//indico.ictp. it/event/7907/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7907/ END:VEVENT BEGIN:VEVENT SUMMARY:Class numbers of imaginary quadratic fields DTSTART;VALUE=DATE-TIME:20160624T133000Z DTEND;VALUE=DATE-TIME:20160624T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7908@ictp.it DESCRIPTION:\n Abstract: \n The class number problem of Gauss inquires abo ut the class number (denoted h) of an imaginary quadratic field\, which is one measure of the failure of unique factorization. He found there were 9 fields with class number 1 (the last being Q(√-163)\, and conjectured t here were no more. This case of h=1 was resolved by very different methods by Heegner and Baker (who won the Fields Medal) and Stark in the 60s. Soo n after\, Goldfeld proposed a plan to effectively show that h→∞\, his idea being dependent on the existence of an elliptic curve having analytic rank 3 (and meeting other minor technical conditions). The proof of this was then completed in the 80s by Gross and Zagier\, involving a height for mula for Heegner points. We discuss an improvement to Goldfeld's theorem\, showing that an elliptic curve of analytic rank 2 suffices.\n  \n\n//ind ico.ictp.it/event/7908/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7908/ END:VEVENT BEGIN:VEVENT SUMMARY:Path integrals\, supersymmetric quantum mechanics and the Atiyah- Singer index theorem for twisted Dirac DTSTART;VALUE=DATE-TIME:20160718T140000Z DTEND;VALUE=DATE-TIME:20160718T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7916@ictp.it DESCRIPTION:\n Abstract: \n In the 1980’s\, Alvarez-Gaume\, following Wi tten\, used heuristic path integrals in supersymmetric quantum mechanics t o give arguments for index theorems including the Gauss-Bonnet-Chern\, Hir zebruch\, and Atiyah-Singer theorems. In this talk\, I summarize the argum ents\, and describe a mathematical construction of the relevant path integ rals. This provides a new construction of the heat kernel for a class of L aplacians broad enough to include the square of the twisted Dirac operator \, which corresponds to an extension of N=1/2 supersymmetric quantum mecha nics. In this case\, general results on the rate of convergence of the app roximate path integrals suffice to derive the local version of the Atiyah- Singer index theorem.\n\n//indico.ictp.it/event/7916/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7916/ END:VEVENT BEGIN:VEVENT SUMMARY:The t-structures generated by a pair of consistent chains DTSTART;VALUE=DATE-TIME:20160719T120000Z DTEND;VALUE=DATE-TIME:20160719T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8077@ictp.it DESCRIPTION://indico.ictp.it/event/8077/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8077/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP-SISSA Geometric Analysis Seminar: Q-curvature flow on manifol ds of even dimension DTSTART;VALUE=DATE-TIME:20160720T123000Z DTEND;VALUE=DATE-TIME:20160720T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7928@ictp.it DESCRIPTION:\n Abstract: It is now widely known that negative gradient hea t flows can be used to study several prescribing curvature problems. In th is talk\, I will present an heat flow to study Q-curvature on closed Riema nnian manifolds of even dimension. I will also address the difference betw een low and high order equations and discuss a few questions related to th is.\n\n//indico.ictp.it/event/7928/ LOCATION:SISSA TBA URL://indico.ictp.it/event/7928/ END:VEVENT BEGIN:VEVENT SUMMARY:Flat connections and loop spaces DTSTART;VALUE=DATE-TIME:20160721T123000Z DTEND;VALUE=DATE-TIME:20160721T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7929@ictp.it DESCRIPTION:\n Abstract: I will discuss a certain generalization of the no tion of a flat connection on a vector bundle\, known as a higher local sys tem (or a flat superconnection). My main goal is to explain that if ordina ry flat connections are representations of the fundamental group of X\, hi gher local systems should be thought of as representations of the whole ho motopy type of X. I will also discuss how higher local systems are related to loop spaces and briefly mention some (finished and unfinished) project s. This talk is based on joint work with F. Schaetz (Luxembourg).\n\n//ind ico.ictp.it/event/7929/ LOCATION:ICTP URL://indico.ictp.it/event/7929/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometric constructions of Equilibrium States DTSTART;VALUE=DATE-TIME:20160804T123000Z DTEND;VALUE=DATE-TIME:20160804T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7938@ictp.it DESCRIPTION:\n Abstract: In this talk I'll show a completely different con struction of equilibrium states associated to Hölder potentials for hyper bolic systems\, and indicate the necessary modifications to deal with cert ain partially hyperbolic cases. The key point for this extension is avoidi ng altoghether the use of symbolic dynamics and the Perron-Frobenious meth od. Time permiting I'll discuss applications.This is a joint project with F. Rodriguez-Hertz (PSU). \n\n//indico.ictp.it/event/7938/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7938/ END:VEVENT BEGIN:VEVENT SUMMARY:Martingale approximation for parametrised dynamical systems DTSTART;VALUE=DATE-TIME:20160817T123000Z DTEND;VALUE=DATE-TIME:20160817T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7926@ictp.it DESCRIPTION:Abstract: see attached announcement\n\n//indico.ictp.it/event/ 7926/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7926/ END:VEVENT BEGIN:VEVENT SUMMARY:Ergodicity of Surface Actions via Flag Manifold DTSTART;VALUE=DATE-TIME:20160818T123000Z DTEND;VALUE=DATE-TIME:20160818T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-7942@ictp.it DESCRIPTION:\n Abstract: This talk is devoted to study the ergodicity of s mooth surface actions. We provide a sufficient condition for surface actio ns to be ergodic with respect to the Lebesgue measure. First\, we address the main results obtained so far for the unit circle\, as a main tool in h igher dimensional. After that\, by introducing the notion of flag manifold \, we explain how rich minimality of sufficiently smooth action on the fla g manifold may lead to the ergodicity of the initial action.\n\n//indico.i ctp.it/event/7942/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/7942/ END:VEVENT BEGIN:VEVENT SUMMARY:Ergodicity and Partial Hyperbolicity on Unit Tangent Bundles of Su rfaces DTSTART;VALUE=DATE-TIME:20160929T143000Z DTEND;VALUE=DATE-TIME:20160929T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8025@ictp.it DESCRIPTION://indico.ictp.it/event/8025/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8025/ END:VEVENT BEGIN:VEVENT SUMMARY:A geometric model for the natural extension of continued fraction maps DTSTART;VALUE=DATE-TIME:20161004T150000Z DTEND;VALUE=DATE-TIME:20161004T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8024@ictp.it DESCRIPTION:Abstract:\n\n Just as classical "Floor" continued fractions in duce the Gauss map on the real unit interval\, other euclidean division al gorithms (Ceiling\, Even\, Odd\, NearestInteger\, ...) induce piecewise-fr actional maps with integer coefficients. All these maps have natural exten sions that can easily be described on an ad hoc basis. We present a genera l framework for dealing with all these maps in a uniform way. The construc tion is geometric and well visualizable\, exploiting both the interpretati on of continued fractions as symbolic dynamics for the geodesic flow on th e modular surface\, and the projective duality between the hyperbolic plan e and the de Sitter space.\n\n//indico.ictp.it/event/8024/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8024/ END:VEVENT BEGIN:VEVENT SUMMARY:Bridgeland stability conditions and exceptional collections DTSTART;VALUE=DATE-TIME:20161013T150000Z DTEND;VALUE=DATE-TIME:20161013T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8043@ictp.it DESCRIPTION:\n Abstract: Bridgeland assigned to any triangulated category a complex manifold\, whose elements are referred to as stability condition s. Homological mirror symmetry and string theory predict a parallel betwee n Teichmüller theory and categories whereby the stability space plays the role of the Teichmüller space. However it is hard to extract global info rmation for these spaces. Beilinson observed patterns in the structure of some triangulated categories called later exceptional collections. The int erplay between the two notions in the title unveils novelties for both. An explicit determining of the entire stability spaces on wild Kronecker qui vers in our latest joint work with L. Katzarkov is a subsequent result ari sing from this interplay. In this talk I will try to put the new result in a context\, supporting what Bridgeland wrote: the whole idea of extractin g geometry from homological algebra is\, to me at least\, a very attractiv e one.\n\n//indico.ictp.it/event/8043/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8043/ END:VEVENT BEGIN:VEVENT SUMMARY:Instantons on ALF spaces DTSTART;VALUE=DATE-TIME:20161024T120000Z DTEND;VALUE=DATE-TIME:20161024T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8038@ictp.it DESCRIPTION:\n Abstract: I will discuss progress on establishing Cherkis's Nahm transform for multicenter Taub NUT spaces. This transform gives a co njectured correspondence between instantons on ALF spaces and solutions of a system of nonlinear odes. Verifying the conjecture requires first refin ing our understanding of the asymptotic structure of instantons. This is j oint work with Sergey Cherkis and Andres Larrain. ICTP's shuttle service t o SISSA follows the following schedule.\n ICTP departures are from the Leo nardo Building main entrance:\n Monday - Friday\n ICTP to SISSA: 10:30\; 1 3:30\n SISSA to ICTP: 14:00\; 18:00\n\n//indico.ictp.it/event/8038/ LOCATION:SISSA room 134 URL://indico.ictp.it/event/8038/ END:VEVENT BEGIN:VEVENT SUMMARY:Derived deformation theory of noncommutative spaces DTSTART;VALUE=DATE-TIME:20161027T150000Z DTEND;VALUE=DATE-TIME:20161027T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8052@ictp.it DESCRIPTION:Abstract:\nOne of the powerful feature of derived algebraic ge ometry is to enlighten deformation theory. We will explain this point of v iew from scratch\, and review the main results of derived deformation theo ry by Lurie. In a second part\, I'll explain how this can be applied to th e deformation theory of noncommutative spaces in the sense of Kontsevitch\ , i.e. differential graded categories. In general this theory is badly beh aved\, but under some finiteness condition on the category (in particular it has a compact generator)\, we prove together with Katzarkov and Pandit that every formal deformation still has a compact generator.\n\n//indico.i ctp.it/event/8052/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8052/ END:VEVENT BEGIN:VEVENT SUMMARY:Cohomology of Configuration Spaces of Complex Projective Spaces DTSTART;VALUE=DATE-TIME:20161107T150000Z DTEND;VALUE=DATE-TIME:20161107T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8065@ictp.it DESCRIPTION:\n Abstract: \n The ordered configuration space of n points in a topological space X is the space of all possible configurations of n la belled points in that space X. There is a natural action of the symmetric group\, Sn\, on the ordered configuration space and the quotient under thi s action is the unordered configuration space.\n For a smooth complex proj ective variety X\, I. Kriz constructed a rational model (a differential bi graded algebra) for the ordered configuration space. The Sn-action on the configuration space induces an Sn-action on the Kriz model.\n I will discu ss this Sn-action and as an application describe the cohomology algebra of 3-points conguration spaces of complex projective spaces.\n\n//indico.ict p.it/event/8065/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8065/ END:VEVENT BEGIN:VEVENT SUMMARY:On character surfaces DTSTART;VALUE=DATE-TIME:20161111T160000Z DTEND;VALUE=DATE-TIME:20161111T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8070@ictp.it DESCRIPTION:\n Abstract:\n The talk will be a medley of successive minima\ , D2 equations\, Fricke identities and the Markov surface\, Beilinson's ex ceptional collections and derived autoequivalences\, Mazur's analogy and 3 -dimn'l TQFT\, a topological metaphor for the Riemann Hypothesis - Ramanuj an Conjecture link\, a non-abelian Abel's theorem.\n\n//indico.ictp.it/eve nt/8070/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8070/ END:VEVENT BEGIN:VEVENT SUMMARY:Regularity of maximal operators DTSTART;VALUE=DATE-TIME:20161116T140000Z DTEND;VALUE=DATE-TIME:20161116T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8066@ictp.it DESCRIPTION:\n Abstract:\n This talk will be a brief survey of recent resu lts on the regularity of maximal operators acting on Sobolev and BV functi ons. Most of such problems can be posed either in a continuous or in a dis crete setting. We will present some results for the classical Hardy-Little wood maximal operator\, for operators of convolution type (associated to e lliptic and parabolic PDE’s) and also for fractional maximal operators.\ n The talk will be accessible to a broad audience.\n\n//indico.ictp.it/eve nt/8066/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8066/ END:VEVENT BEGIN:VEVENT SUMMARY:Curiosity at 164/5 and 236/7 DTSTART;VALUE=DATE-TIME:20161121T150000Z DTEND;VALUE=DATE-TIME:20161121T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8071@ictp.it DESCRIPTION:\n Abstract:\n I would not really like to tell you the meaning of the two rational numbers in the title\, I would rather like to keep th em mysterious until the occasion of my talk. However\, I must give some in gredients of my talk\, otherwise you might not come to the seminar\, maybe .\n One of the main ingredients is conformal field theories. As you may kn ow\, conformal field theories involve many mathematical aspects\, for inst ance\, vertex operator algebras\, moduli spaces of algebraic curves\, modu lar forms\, linear differential equations with regular singularities\, and so on. In my research on classifying rational conformal field theories\, these two numbers appeared naturally. On my way to deal with these numbers \, I needed the notion of modular tensor categories which include the conc epts of quantum dimensions and global dimensions.\n What I did\, and will explain in this talk\, is that I first find solutions of lin- ear differen tial equations with regular singularities whose spaces of solutions are in variant under the slash 0 action\, and get the exact form of S-matrices co rresponding to the S-transformation. Then the theory of modular tensor cat egories allows us to compute quantum dimensions and then global dimen- sio ns. By contrast\, the theory of vertex operator algebra gives us different global dimensions\, which means such conformal field theories do not exis t.\n Because I use many mathematical tools including modular forms on the congruence groups (which you know very well)\, I decided to use slides to give you enough information and make the talk self-contained. In fact\, ev ery notion which appears in my talk will be explained. A prior knowledge i s not required.\n\n//indico.ictp.it/event/8071/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8071/ END:VEVENT BEGIN:VEVENT SUMMARY:Normal Bases from Algebraic Groups DTSTART;VALUE=DATE-TIME:20161128T150000Z DTEND;VALUE=DATE-TIME:20161128T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8092@ictp.it DESCRIPTION:\n Abstract: Normal bases with low complexity are usually cons tructed with Gauss periods. Couveignes and Lercier (2009) constructed norm al bases endowed with fast algorithms for multiplication by using elliptic curves. In this talk we will first describe a method for constructing nor mal bases using general algebraic groups. Then we will focus on the case o f some low-dimensional algebraic groups.\n\n//indico.ictp.it/event/8092/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8092/ END:VEVENT BEGIN:VEVENT SUMMARY:The number theory of superstring amplitudes DTSTART;VALUE=DATE-TIME:20161130T140000Z DTEND;VALUE=DATE-TIME:20161130T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8093@ictp.it DESCRIPTION:\n Abstract: The Feynman diagram expansion of scattering ampli tudes in perturbative superstring theory can be written (for closed string s) as a series of integrals over compactified moduli spaces of Riemann sur faces with marked points\, indexed by the genus. Therefore in genus 0 it i s reasonable to find\, as it often happens in QFT computations\, periods o f M_{0\,N}\, which are known to be multiple zeta values. In this talk I wa nt to report on recent advances in the genus 1 amplitude\, which are relat ed to the development of 2 different generalizations of classical multiple zeta values\, namely elliptic multiple zeta values and conical sums.\n\n/ /indico.ictp.it/event/8093/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8093/ END:VEVENT BEGIN:VEVENT SUMMARY:Amusing new proofs of two classical theorems about class numbers DTSTART;VALUE=DATE-TIME:20161205T150000Z DTEND;VALUE=DATE-TIME:20161205T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8104@ictp.it DESCRIPTION:\n Abstract: I will describe elementary proofs of the Gauss-He rmite theorem (relating class numbers to sums of three squares) and the Kr onecker-Hurwitz formula (evaluating certain sums of class numbers). No kno wledge of number theory is presupposed.\n\n//indico.ictp.it/event/8104/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8104/ END:VEVENT BEGIN:VEVENT SUMMARY:Diophantine conditions and quasiperiodic dynamics: an introduction DTSTART;VALUE=DATE-TIME:20161213T153000Z DTEND;VALUE=DATE-TIME:20161213T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8105@ictp.it DESCRIPTION://indico.ictp.it/event/8105/ LOCATION:ICTP Leonardo Building - Lecture Room D URL://indico.ictp.it/event/8105/ END:VEVENT BEGIN:VEVENT SUMMARY:Small divisor problems: some old and new open problems DTSTART;VALUE=DATE-TIME:20161214T133000Z DTEND;VALUE=DATE-TIME:20161214T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8106@ictp.it DESCRIPTION://indico.ictp.it/event/8106/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8106/ END:VEVENT BEGIN:VEVENT SUMMARY:One-day workshop on Dynamical Systems DTSTART;VALUE=DATE-TIME:20170111T093000Z DTEND;VALUE=DATE-TIME:20170111T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8117@ictp.it DESCRIPTION:\n 10:30 - 11:30 Oliver Butterley (ICTP)Open sets of exponenti ally mixing Anosov flowsAbstract: If a flow is sufficiently close to a vol ume-preserving Anosov flow and dim E_s = 1\, dim E_u \\geq 2 then the flow mixes exponentially whenever the stable and unstable foliations are not j ointly integrable (similarly if the requirements on stable and unstable bu ndle are reversed). This implies the existence of non-empty open sets of e xponentially mixing Anosov flows. (Joint work with Khadim War).\n 12:00 - 13:00 Davide Ravotti (Bristol)Ergodic properties of area-preserving flows on compact surfacesAbstract: We consider the set of area-preserving flows on compact surfaces with isolated fixed points. The study of these flows d ates back to Novikov in the 80s and since then many properties have been i nvestigated. Starting from an overview of the known results\, we will show that typical such flows admitting several minimal components are mixing w hen restricted to each minimal component and we provide an estimate on the decay of correlations for smooth observables.\n 15:00 - 16:00 Maurizio Mo nge (UFRJ\, Brazil)Rigorous computation in random dynamics and computer-ai ded proof of noise-induced-orderAbstract: We will explain the techniques u sed to compute rigorously the invariant measure and rigorously estimate ob servables for general dynamical systems with noise. We will illustrate the interplay of Wasserstein\, $L^1$ and variation norms on the space of sign ed measures\, and show how it can be exploited to obtain a surprisingly ef fective estimation of the invariant measure in the $L^1$ norm. We conclude showing how this allows to prove rigorously the noise-induced order pheno menon for a model of the Belousov-Zhabotinsky reaction\, that had been dis covered with numerical simulations by Matsumoto-Tsuda in 1983.\n 16:30 - 1 7:30 Stefano Galatolo (Pisa)A functional analytic approach for skew produc ts with weakly contracting fibers. Application to the statistical stabilit yAbstract: We consider dynamical systems preserving a weaky contracting fo liation. (Like Poincaré maps of Lorenz systems or toral extensions). We s how some suitable spaces of measures with sign (whose regularity is define d trough a disintegration on the preserved foliation) adapted to this kind of systems. The spaces are well behaved with respect to the action of the transfer operator and in particular they satisfy a kind of Lasota Yorke i nequality. By this\, and by the speed of decay of correlations of these sy stems\, which is known from previous works\, we deduce quantitative statem ents about the statistical stability of such systems. Everyone is welcome to attend\n\n//indico.ictp.it/event/8117/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8117/ END:VEVENT BEGIN:VEVENT SUMMARY:Curve Shortening Flow for Embedded and Unknotted Curves in R^3 DTSTART;VALUE=DATE-TIME:20170118T130000Z DTEND;VALUE=DATE-TIME:20170118T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8126@ictp.it DESCRIPTION://indico.ictp.it/event/8126/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8126/ END:VEVENT BEGIN:VEVENT SUMMARY:Nested Hilbert schemes and DT theory of local threefolds DTSTART;VALUE=DATE-TIME:20170120T150000Z DTEND;VALUE=DATE-TIME:20170120T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8127@ictp.it DESCRIPTION:\n Abstract: Following talk 1 we study the geometry of S which is projective simply connected complex surface and we let L be a line bun dle on S. We study moduli space of stable compactly supported 2-dimensiona l sheaves on the total spaces of L. The moduli space admits a C^*-action i nduced by scaling the fibers of L. We identify certain components of the f ixed locus of the moduli space with the moduli space of torsion free sheav es on S and the nested Hilbert schemes on S. We define reduced Donaldson-T homas invariants by virtual localization. When L is the canonical bundle o f S these reduced DT invariants recover Vafa-Witten invariants defined by Tanaka-Thomas via the moduli space of Higgs pairs on S. Vafa-Witten invari ants are expected to have modular properties predicted by S-duality. We fu rther show that in this case\, in combination with Mochizuki's formulas\, we are able to express these equivariant Donaldson-Thomas invariants on th e total space of canonical bundle of S in terms of our invariants of neste d Hilbert schemes in talk 1\, the Seiberg-Witten invariants of S\, and the integrals over the products of Hilbert schemes of points on S.\n\n//indic o.ictp.it/event/8127/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8127/ END:VEVENT BEGIN:VEVENT SUMMARY:Joint ICTP-SISSA Geometry and Physics Seminar - K3 surfaces associ ated with Teichmueller curves DTSTART;VALUE=DATE-TIME:20170126T130000Z DTEND;VALUE=DATE-TIME:20170126T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8133@ictp.it DESCRIPTION:\n Abstract: Teichmueller curves are complex geodesics in the moduli space of curves with respect to the Kobayashi metric. As such\, a T eichmueller curve in genus 2 moduli space naturally parametrizes a family of Kummer K3 surfaces. We will discuss the geometry of such a family of K3 surfaces arising from Teichmueller curves\, with special emphasis on the variation of Hodge structure and mirror symmetry. Time permitting\, we wil l talk about 'attractive' K3 surfaces\, which are special fibers of this f amily\, that provide a fascinating link between the arithmetic theory of c omplex multiplication and black holes in type IIB string theory compactifi ed on the product of a K3 surface with an elliptic curve (This is ongoing work with Atish Dabholkar (ICTP)).\n\n//indico.ictp.it/event/8133/ LOCATION:SISSA 136 URL://indico.ictp.it/event/8133/ END:VEVENT BEGIN:VEVENT SUMMARY:Interpolation of Fourier eigenfunctions in the Schwartz space DTSTART;VALUE=DATE-TIME:20170210T150000Z DTEND;VALUE=DATE-TIME:20170210T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8147@ictp.it DESCRIPTION:\n Abstract: \n We will describe an interpolation formula for Schwartz eigenfunctions of the Fourier transform on the real line. The for mula is related to the Whittaker-Shannon interpolation formula for band-li mited functions\, but uses square roots of integers instead of integers as sampling points. It turns out that the basis functions of this interpolat ion formula can be given explicitly in terms of certain weakly holomorphic modular forms of weights 1/2 and 3/2 and have several other remarkable pr operties.\n The talk is based on a joint work with Maryna Viazovska.\n\n// indico.ictp.it/event/8147/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8147/ END:VEVENT BEGIN:VEVENT SUMMARY:Finite dimensional representations of Cherednik algebras DTSTART;VALUE=DATE-TIME:20170213T150000Z DTEND;VALUE=DATE-TIME:20170213T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8148@ictp.it DESCRIPTION:\n Abstract:\n The rational Cherednik algebra associated with a complex reflection group W acting in a vector space V is a versal deform ation of the algebra generated by W and differential operators on V. Its r epresentation theory is closely connected to the geometry of the action of W of V. The classification of the finite dimensional representations of t he rational Cherednik algebra is a long-standing open problem. In the case of a real reflection group\, Etingof has proved that part of this classif ication may be done using the Macdonald-Mehta integral and the b-function of the discriminant for W. We explain a new proof of Etingof's criterion t hat extends it to all complex reflection groups.\n This is joint work with Daniel Juteau.\n\n//indico.ictp.it/event/8148/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8148/ END:VEVENT BEGIN:VEVENT SUMMARY:Counting indecomposable parabolic bundles over the projective line DTSTART;VALUE=DATE-TIME:20170215T130000Z DTEND;VALUE=DATE-TIME:20170215T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8149@ictp.it DESCRIPTION:\n Abstract:\n We will start by explaining a concrete and basi c problem on polynomial matrices and then show how this problem is related to the computation of some topological invariants of character varieties which parametrizes isomorphism classes of representations of the fundament al groups of the punctured Riemann sphere.\n\n//indico.ictp.it/event/8149/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8149/ END:VEVENT BEGIN:VEVENT SUMMARY:Computable analysis as a framework for computability over continuo us domains DTSTART;VALUE=DATE-TIME:20170216T130000Z DTEND;VALUE=DATE-TIME:20170216T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8154@ictp.it DESCRIPTION:Abstract:\n\n Nowadays the computing technology is integrated in all aspects of daily and professional lives. Such integration creates w hat is called cyber-physical systems (or\, preferred by communication engi neers\, the Internet of Things). Such systems combine both physical compon ents which are modeled by continuous paradigms such as differential equati ons and computing elements which are inherently discrete. This continuous/ discrete combination creates tremendous challenges\, both from the theoret ical as well as practical applicability. In this talk we give an introduct ion to a part of computability theory\, called computable analysis\, which has been developed to address issues of computability over continuous dom ains. We show one application of such approach in the complexity-theoretic analysis of the reachability problem in dynamical systems.\n\n//indico.ic tp.it/event/8154/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8154/ END:VEVENT BEGIN:VEVENT SUMMARY:Price Inequality and Betti Numbers Growth on Manifolds without Con jugate Points DTSTART;VALUE=DATE-TIME:20170323T133000Z DTEND;VALUE=DATE-TIME:20170323T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8200@ictp.it DESCRIPTION:\n Abstract:   In this talk\, I will present a Price type in equality for harmonic forms on manifolds without conjugate points and nega tive Ricci curvature. The techniques employed in the proof work particular ly well for manifolds of non-positive sectional curvature\, and in this ca se one can prove a strengthen result. Equipped with these Price type inequ alities\, I then study the asymptotic behavior of Betti numbers along infi nite towers of regular coverings. Finally\, I will discuss the case of com pact real and complex hyperbolic manifolds in more details. Joint work wit h M. Stern.\n\n//indico.ictp.it/event/8200/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8200/ END:VEVENT BEGIN:VEVENT SUMMARY:Finite element approximation of nonconvex uniformly elliptic fully nonlinear equations DTSTART;VALUE=DATE-TIME:20170323T150000Z DTEND;VALUE=DATE-TIME:20170323T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8201@ictp.it DESCRIPTION:\n Abstract:   We propose and analyze a two-scale finite ele ment method for the Isaacs equation. By showing the consistency of the app roximation and that the method satisfies the discrete maximum principle we establish convergence to the viscosity solution. By properly choosing eac h of the scales\, and using the recently derived discrete Alexandrov Bakel man Pucci estimate we can deduce rates of convergence.\n\n//indico.ictp.it /event/8201/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8201/ END:VEVENT BEGIN:VEVENT SUMMARY:Topological dynamics of piecewise λ-affine maps of the interval DTSTART;VALUE=DATE-TIME:20170404T120000Z DTEND;VALUE=DATE-TIME:20170404T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8186@ictp.it DESCRIPTION://indico.ictp.it/event/8186/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8186/ END:VEVENT BEGIN:VEVENT SUMMARY:Attractors of Iterated Function Systems with uncountably many maps (in collaboration with Giorgio Mantica) DTSTART;VALUE=DATE-TIME:20170404T130000Z DTEND;VALUE=DATE-TIME:20170404T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8205@ictp.it DESCRIPTION:\n Abstract:  study the topological properties of attractors of Iterated Function Systems (I.F.S.) on the real line\, consisting of aff ine maps of homogeneous contraction ratio. These maps define what we call a second generation I.F.S.: they are uncountably many and the set of their fixed points is a Cantor set. We prove that when this latter either is th e attractor of a finite\, non-singular\, hyperbolic\, I.F.S. (of first gen eration)\, or it possesses a particular dissection property\, the attracto r of the second generation I.F.S. consists of finitely many closed interva ls.\n\n//indico.ictp.it/event/8205/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8205/ END:VEVENT BEGIN:VEVENT SUMMARY:An introduction to optimal transport (Basic Notions Seminar) DTSTART;VALUE=DATE-TIME:20170405T140000Z DTEND;VALUE=DATE-TIME:20170405T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8209@ictp.it DESCRIPTION:\n Abstract:\n We shall discuss the basics of the optimal tran sport problem and of its dual formulation. The concepts of c-concavity and c-superdifferential will also be introduced and at the end of the talk we will sketch the proof of the celebrated theorem of Brenier about optimal transport maps in the Euclidean space for cost = distance-squared.\n\n//in dico.ictp.it/event/8209/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8209/ END:VEVENT BEGIN:VEVENT SUMMARY:Course on "Introduction to Arithmetic of Curves and Surfaces" DTSTART;VALUE=DATE-TIME:20170407T121500Z DTEND;VALUE=DATE-TIME:20170407T141500Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8211@ictp.it DESCRIPTION:\n Short description:\n A smooth projective variety defined ov er a number field has its associated Hasse-Weil zeta function which encode s all of its arithmetic information. Fermat's last theorem was proved by W iles et al. by showing that the Hasse-Weil zeta function of any elliptic c urve defined over the rational numbers coincides with the L-function of a modular form of weight two. The million dollar worth Birch and Swinnerton- Dyer conjecture is concerned with the behavior of the zeroes of such Hasse -Weil zeta functions. More recently\, and perhaps surprisingly\, Hasse-Wei l zeta functions of three dimensional Calabi-Yau manifolds have found appl ications in the study of black holes in the context of type II string theo ry.\n In this course we will study a few examples where the Hasse-Weil zet a functions are well understood. Our list of examples will include the fol lowing:- Elliptic curves with complex multiplication\n - Modular curves\n - Hyperelliptic curves over number fields\n - Attractive K3 surfaces\n - D el Pezzo surfaces over the rational numbers\n We will first introduce all of the objects above over the field of complex numbers\, so people interes ted solely in the complex geometry of these objects can benefit. After def ining Hasse-Weil zeta functions in general\, we will study these zeta func tions for the above objects where a lot of their conjectural properties ca n be tested. To be more concrete\, we will use the the computer algebra pr ogram MAGMA in which a number of algorithms have been implemented to const ruct these zeta functions explicitly. This will allow us to experiment and explore these zeta functions in a hands on way.\n The course will consist of ten lectures\, each one hour long. For students taking the course for credit\, the final exam will be in the form of a thirty minute presentatio n on a topic of their choice.\n\n//indico.ictp.it/event/8211/ LOCATION:SISSA Lecture room 136 URL://indico.ictp.it/event/8211/ END:VEVENT BEGIN:VEVENT SUMMARY:Rigidity for Diophantine translations in tori and some consequence s DTSTART;VALUE=DATE-TIME:20170411T090000Z DTEND;VALUE=DATE-TIME:20170411T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8214@ictp.it DESCRIPTION:\n Abstract:\n We will present a KAM theorem for Diophantine t ranslations in tori of arbitrary dimension and we will discuss some conseq uences. The original version of this rigidity theorem\, under some additio nal hypotheses\, is due to M. Herman. This is a work in progress with A. K ocsard.\n\n//indico.ictp.it/event/8214/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8214/ END:VEVENT BEGIN:VEVENT SUMMARY:On the Caginalp phase-field system based on the Cattaneo law with nonlinear coupling DTSTART;VALUE=DATE-TIME:20170419T120000Z DTEND;VALUE=DATE-TIME:20170419T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8220@ictp.it DESCRIPTION:\n Abstract: \n Caginalp phase-field model describes the behav iour of certains materials in their stages of melting and solidication. In this talk\, we will start by motivating the use of Cattaneo's law and giv e a rigourous derivation of our model. We then address mathematical proble ms of existence and uniqueness\, dissipativity and spatial behaviour in a semi-infinite cylinder. We finally give the convergence for an iterative s cheme of fractional steps type associated to the phase-field transition sy stem as an illustration regarding numerical approach.\n\n//indico.ictp.it/ event/8220/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8220/ END:VEVENT BEGIN:VEVENT SUMMARY:Statistical stability of the Lorenz flow DTSTART;VALUE=DATE-TIME:20170420T130000Z DTEND;VALUE=DATE-TIME:20170420T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8207@ictp.it DESCRIPTION:\n Abstract:  In this talk we will show that the Lorenz flow is statistically stable. Moreover as a byproduct of the argument we also o btain that variance in the CLT for the flow is also continuous.\n\n//indic o.ictp.it/event/8207/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8207/ END:VEVENT BEGIN:VEVENT SUMMARY:The many aspects of hyperbolic volume (Basic Notions Seminar) DTSTART;VALUE=DATE-TIME:20170601T133000Z DTEND;VALUE=DATE-TIME:20170601T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8240@ictp.it DESCRIPTION:\n Abstract: \n First I shall briefly present the basic notion s of hyperbolic space and volume in n dimensions. Then I shall explain why the study of non-euclidean and especially hyperbolic polyhedral volume is an important but difficult topic. Several aspects\, results and open ques tions of analytical\, topological and arithmetic nature are presented.\n\n //indico.ictp.it/event/8240/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8240/ END:VEVENT BEGIN:VEVENT SUMMARY:Foliations with positive tangent sheaf DTSTART;VALUE=DATE-TIME:20170607T123000Z DTEND;VALUE=DATE-TIME:20170607T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8255@ictp.it DESCRIPTION:\n Abstract: \n In recent years\, techniques from higher dimen sional algebraic geometry\, specially from the minimal model program\, hav e been successfully applied to the study of global properties of holomorph ic foliations. In this talk I will discuss foliations with positive tangen t sheaf\, with focus on those with ample anti-canonical class. I will pres ent some results and techniques developed in a series of joint works with Stéphane Druel.\n  \n\n//indico.ictp.it/event/8255/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8255/ END:VEVENT BEGIN:VEVENT SUMMARY:Theta series\, theta values\, theta blocks DTSTART;VALUE=DATE-TIME:20170613T130000Z DTEND;VALUE=DATE-TIME:20170613T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8260@ictp.it DESCRIPTION:\n Abstract:  Classical theta series are among the simplest a nd most useful of modular forms\, with applications ranging from cryptogra phy and sphere packing to differential geometry. In this talk\, which will be informal and will not assume any previous knowledge\, I will give seve ral examples of how to work with theta series\, including a very short pro of of the "Watson quintuple product identity"\, a surprising result about the vanishing of certain special values of theta functions\, and examples of the theory of "theta blocks"\, including the so-called "theta quarks".\ n\n//indico.ictp.it/event/8260/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8260/ END:VEVENT BEGIN:VEVENT SUMMARY:Some Recent Estimates On Nodal Geometry In The High-Energy Limit DTSTART;VALUE=DATE-TIME:20170614T130000Z DTEND;VALUE=DATE-TIME:20170614T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8257@ictp.it DESCRIPTION:\n Abstract: \n Given a closed manifold\, the Laplace operator is known to possess a discrete spectrum of eigenvalues converging to infi nity. We are interested in properties of the corresponding eigenfunctions as the eigenvalue becomes large (i.e. the high-energy limit). From a physi cal point of view\, the eigenfunctions represent stationary states of a fr ee quantum particle - when properly normalized\, they may be interpreted a s the probability density of a particle in the manifold. Various questions about the geometry of Laplace-eigenfunctions have been studied thoroughly - for example\, distribution and measure of the vanishing (nodal) set\; l ocalization\; shape and inner radius of nodal domains\, etc. We present so me recent results along these lines - this also includes joint work with M . Mukherjee.\n\n//indico.ictp.it/event/8257/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8257/ END:VEVENT BEGIN:VEVENT SUMMARY:On two categorical invariants and their computation for non-com mutative projective spaces DTSTART;VALUE=DATE-TIME:20170615T130000Z DTEND;VALUE=DATE-TIME:20170615T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8259@ictp.it DESCRIPTION:\n Abstract:\n Bridgeland assigned to any triangulated categor y a complex manifold: the space of stability conditions on it. In a joint work with Katzarkov we prove that the Bridgeland stability spaces on wild Kronecker quivers are CxH and these calculations suggest a new notion of a norm. To a triangulated category T which has property of a phase gap\, we attach a number ||T||_epsilon \\in [0\,(1-epsilon)\\pi] depending on a pa rameter epsilon \\in (0\,1). In this talk\, I will tell more about this. I n particular I plan to define and discuss a topology on a class of triangu lated categories (categories with a phase gap). By non-commutative project ive spaces I mean those introduced by Kontsevich-Rosenberg.\n\n//indico.ic tp.it/event/8259/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8259/ END:VEVENT BEGIN:VEVENT SUMMARY:Mathematics Seminar DTSTART;VALUE=DATE-TIME:20170627T093000Z DTEND;VALUE=DATE-TIME:20170627T134500Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8274@ictp.it DESCRIPTION:\n 11:30 - 12:15 - Carlos H. Vasquez (PUC\, Valparaiso)Differe ntiability of Lyapunov Exponents\n In this work\, we consider a C^∞- one parameter family of C^r\, r≥1\, diffeomorphisms f_t\,t∈I\, defined on a compact orientable Riemannian manifold M. If the family admits a contin uous 〖Df〗_t-invariant subbundle E(t\,⋅) and an invariant probability measure μ for every t∈I\, then the integrated Lyapunov exponent λ(t) of f_t over E(t) is well defined. We discuss about conditions for the diff erentiability of λ(t) in t=0.This a work in progress joint with Radu Sagh in and Pancho Valenzuela-Henríquez. \n 14:00 - 14:45 - Sergey Kryzhevich (University of Nova Gorica)Partial Hyperbolicity and Central ShadowingThis is a joint work with Sergey Tikhomirov. We consider partially hyperbolic diffeomorphisms of compact manifolds. Suppose that the so-called dynamical coherence condition is satisfied: central stable and central unstable bun dles are uniquely integrable. We demonstrate that the considered dynamical system has the central shadowing property: for any pseudotrajectory there exists a close one where all errors are small shifts along the central fo liation. Also\, some corollaries to the theory to Dynamical Systems and Ge ometry and farther development of the approach will be discussed.\n 15:00 - 15:45 - Tarakanta Nayak (IIT Bhubaneswar)\n Completely invariant domains \n Given a meromorphic function from the Riemann sphere to itself\, a doma in is called completely invariant if its image and the pre-image under the function are contained in itself. The talk deals with completely invarian t domains and its implications in complex dynamics. It is conjectured that the number of completely invariant domains for every meromorphic function is at most two. The status of this conjecture and some related work are t o be presented.\n\n//indico.ictp.it/event/8274/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8274/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Mathematics Seminar (in two parts) DTSTART;VALUE=DATE-TIME:20170713T123000Z DTEND;VALUE=DATE-TIME:20170713T135500Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8279@ictp.it DESCRIPTION:Part 1\nTime: 14:30 – 15:10 \nSpeaker: Ana Cristina Moreira de Freitas (Universidade do Porto)\nTitle: Introduction to extreme value t heory for dynamical systems \n \n Abstract:\n In this talk\, we start by p resenting some notions of extreme value theory\, namely the notions of ext reme value laws and extremal index\, which is a parameter that quantifies the intensity of clustering of exceedances. Then\, we consider discrete ti me dynamical systems and stochastic processes arising by evaluating an obs ervable function along the orbits of such systems. We show the connection between extreme value laws and hitting time statistics and exploit it both in the absence and presence of clustering. We associate the occurrence of periodic phenomena to the existence of an extremal index less than 1.\n\n Part 2\nTime: 15:15 – 15:55\nSpeaker: Jorge Milhazes Freitas (Universida de do Porto) \nTitle: Rare events point processes and periodicity \n Abstr act:\n We consider time series corresponding to the evaluation of given po tential along the orbits of systems with `nice' first return induced maps. Nice\, here\, means good memory loss properties. We are particularly inte rested in events corresponding to exceedances of high thresholds\, i.e. in stants at which the potential reaches abnormally high values\, and\, more specifically\, when these exceedances have a tendency to appear in cluster s. We will see the consequences of clustering in the convergence of conven iently normalised point processes that count the number of exceedances in a certain time frame.\n\n//indico.ictp.it/event/8279/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8279/ END:VEVENT BEGIN:VEVENT SUMMARY:Iterated Means Dichotomy for Dynamical System DTSTART;VALUE=DATE-TIME:20170718T130000Z DTEND;VALUE=DATE-TIME:20170718T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8284@ictp.it DESCRIPTION:\n Abstract:\n We discuss the dichotomy of iterated means of d ynamical system on a compact convex subset of the finite dimensional real Banach space. As an application\, we study the mean ergodicity of non-homo geneous as well as nonlinear Markov chains.\n\n//indico.ictp.it/event/8284 / LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8284/ END:VEVENT BEGIN:VEVENT SUMMARY:Constructions of Generalized Hadamard matrices DTSTART;VALUE=DATE-TIME:20170721T120000Z DTEND;VALUE=DATE-TIME:20170721T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8287@ictp.it DESCRIPTION:\n Abstract: I will explain what is generalized a Hadamard mat rix\, where it comes from\, how to construct examples. Then we will discus s a construction of a 4-dimensional family of generalized Hadamard matrice s from a joint paper with I.Zhdanovsky. Finally\, I describe conjectures\, mostly by physicists\, for higher dimensional case.\n\n//indico.ictp.it/e vent/8287/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8287/ END:VEVENT BEGIN:VEVENT SUMMARY:Calabi-Yau 3-folds\, their vector bundles and deformations DTSTART;VALUE=DATE-TIME:20170725T123000Z DTEND;VALUE=DATE-TIME:20170725T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8283@ictp.it DESCRIPTION:Abstract - see attached file\n\n//indico.ictp.it/event/8283/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8283/ END:VEVENT BEGIN:VEVENT SUMMARY:On intrinsic differentiability in the Wasserstein space P2(Rd) DTSTART;VALUE=DATE-TIME:20170922T123000Z DTEND;VALUE=DATE-TIME:20170922T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8387@ictp.it DESCRIPTION:\n Abstract: We elucidate the connection between different not ions of differentiability in P2(Rd): some have been introduced intrinsical ly by Ambrosio–Gigli–Savaré\, the other notion due to Lions\, is extr insic and arises from the identification of P2(Rd) with the Hilbert space of square-integrable random variables. We mention potential applications s uch as uniqueness of viscosity solutions for Hamilton-Jacobi equations in P2(Rd)\, the latter not known to satisfy the Radon–Nikodym property.(Thi s talk is based on a work in progress with A Tudorascu).\n\n//indico.ictp. it/event/8387/ LOCATION:ICTP Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/8387/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR: Using a computer as a microscope to underst and the inner workings of materials DTSTART;VALUE=DATE-TIME:20170926T153000Z DTEND;VALUE=DATE-TIME:20170926T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8388@ictp.it DESCRIPTION:\n Abstract:\n Functional materials play an ubiquitous role in the technological world around us. From the filaments of a light bulb to drugs against illnesses\, semiconductor chips in computers or catalysts in chemical production plants: many breakthroughs in technological applicati ons relied on the discovery of materials with particular properties.\n Whi le the search for new materials was often guided by trial and error\, rece ntly computer simulations have helped to predict the characteristics of a substance before it is even synthesized in a lab.\n But how is this done? How can a computer\, by solving equations\, give us insight into how somet hing behaves under pressure\, at high temperatures\, under illumination\, in electric or magnetic fields?\n In this seminar\, I will give a glimpse into the fast growing area of atomistic materials modelling. I will show h ow it is possible to start from the knowledge of atomic properties and bri dge the scales to real applications - and which (mathematical as well as n umerical) hurdles lie on this path.\n\n//indico.ictp.it/event/8388/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8388/ END:VEVENT BEGIN:VEVENT SUMMARY:Singular baker maps and Lorenz pretzels DTSTART;VALUE=DATE-TIME:20171002T143000Z DTEND;VALUE=DATE-TIME:20171002T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8403@ictp.it DESCRIPTION:\n Abstract:  We introduce a family of modified baker maps de fined in the square\, for which the non wandering set is the entire domain . These maps are non uniformly hyperbolic in the interior of the square\, and have a dense set of hyperbolic periodic orbits. We use the maps to con struct a flow in dimension three with a "fat" non wandering set (non-empty interior) with an attached hyperbolic singularity. The flow is inspired i n the construction of the Lorenz geometric attractor.\n\n//indico.ictp.it/ event/8403/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8403/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR: The Riemann hypothesis: a million dollar my stery DTSTART;VALUE=DATE-TIME:20171018T140000Z DTEND;VALUE=DATE-TIME:20171018T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8415@ictp.it DESCRIPTION:\n Abstract: Bernhard Riemann posed his famous hypothesis more than 150 years ago. This talk will be a brief survey on the colorful hist ory surrounding this magnificent problem. It is meant to be accessible to a very broad audience.\n\n//indico.ictp.it/event/8415/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8415/ END:VEVENT BEGIN:VEVENT SUMMARY:Fourier optimization and prime gaps DTSTART;VALUE=DATE-TIME:20171024T140000Z DTEND;VALUE=DATE-TIME:20171024T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8416@ictp.it DESCRIPTION:\n Abstract: Fourier optimization problems appear naturally wi thin several different fields of mathematics\, particularly in analysis an d number theory. These are problems in which one imposes certain condition s on a function and its Fourier transform\, and then wants to optimize a c ertain quantity. A recent example is given in the proof of the optimal sph ere packing in dimensions 8 and 24. In this talk I want to show how certai n optimization problems of this sort appear naturally in connection to the question of bounding the maximal gap between consecutive primes\, under t he Riemann hypothesis. In particular\, we improve the best known bounds fo r this problem\, that dates back to the works of Cramer in the 1920's.This is a joint work with M. Milinovich (Univ. of Mississippi) and K. Soundara rajan (Stanford Univ.) \n\n//indico.ictp.it/event/8416/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8416/ END:VEVENT BEGIN:VEVENT SUMMARY:Comparison of relative group homologies and invariants of hyperbol ic 3-manifolds DTSTART;VALUE=DATE-TIME:20171107T150000Z DTEND;VALUE=DATE-TIME:20171107T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8417@ictp.it DESCRIPTION:\n Abstract: Let G be a discrete group. It is well known that the homology groups of G have both algebraic and topological definitions. Now consider a subgroup H of G. In the literature there are two versions o f relative homology groups for the pair (G\,H)\, the theory by Adamson gen eralizes in a natural way the algebraic definition\, while the theory by T akasu generalizes in a natural way the topological definition. In the firs t part of the talk\, we present both theories\, we give simple examples th at show that these theories do not coincide in general\, and we give a suf ficient condition on the subgroup H in order that the two theories coincid e.\n In the second part of the talk\, we define invariants of complete\, o rientable\, non compact hyperbolic 3-manifolds of finite volume\, in Adams on relative homology groups. We explain the relation between these invaria nts and the elements in Takasu relative homology groups given by Zickert\, which are used to define and invariant of such hyperbolic 3-manifolds in the extended Bloch group defined by Neumann.\n\n//indico.ictp.it/event/841 7/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8417/ END:VEVENT BEGIN:VEVENT SUMMARY:Torsion for abelian varieties of type III and new cases of the Mum ford-Tate conjecture DTSTART;VALUE=DATE-TIME:20171109T130000Z DTEND;VALUE=DATE-TIME:20171109T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8435@ictp.it DESCRIPTION:\n Abstract:\n Mordell-Weil's theorem states that\, for an abe lian variety defined over a number field K\, the group of K-rational point s is finitely generated. More precisely it can be seen as a product of a f ree group by a finite subgroup of torsion points over K. One can wonder if we can get a uniform bound for the order of the subgroup of torsion point s over a finite extension L over K\, depending on the degree of this exten sion and the dimension of the abelian variety\, when the abelian variety v aries in a certain class. This question is commonly known as the ``Strong Uniform Boundedness Conjecture''. For elliptic curves defined over a numbe r field K\, Merel proved in 1994 that we can indeed get a uniform bound us ing methods developed by Mazur and Kamienny.\n A complementary question wo uld be to ask if we can get a bound for the order of the subgroup of torsi on points over a finite extension L over K\, depending on the degree of th is extension and the dimension of the abelian variety\, when L varies over all the finite extensions of K and the abelian variety is fixed. This que stion had been already answered by Hindry and Ratazzi for certain classes of abelian varieties.\n In this talk we focus our attention on this last q uestion and extend the previous results. We are going to present some new results concerning the class of abelian varieties of type III in Albert's classification and “fully of Lefschetz type” (i.e. whose Mumford-Tate group is the group of symplectic or orthogonal similitudes commuting with endomorphisms and which satisfy the Mumford-Tate conjecture). Moreover\, w e are going to give an explicit list of abelian varieties which satisfy Mu mford-Tate conjecture.\n\n//indico.ictp.it/event/8435/ LOCATION:ICTp Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8435/ END:VEVENT BEGIN:VEVENT SUMMARY:Algebraic methods for the study of biochemical reaction network DTSTART;VALUE=DATE-TIME:20171114T150000Z DTEND;VALUE=DATE-TIME:20171114T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8434@ictp.it DESCRIPTION:\n Abstract:\n In recent years\, techniques from computational and real algebraic geometry have been successfully used to address mathem atical challenges in systems biology. (Bio)chemical reaction networks defi ne systems of ordinary differential equations with (in general\, unknown) parameters. Under mass-action kinetics\, these equations depend polynomial ly on the concentrations of the chemical species. The algebraic theory of chemical reaction systems aims to understand their dynamic behavior by tak ing advantage of the inherent algebraic structure in the kinetic equations \, and does not need a priori determination of the parameters\, which can be theoretically or practically impossible.\n I will first present a gentl e introduction to the basic concepts. I will then describe general results based on the network structure. In particular\, I will explain a general framework for biological systems\, called MESSI systems\, that describe Mo difications of type Enzyme-Substrate or Swap with Intermediates\, and incl ude many post-translational modification networks. I will also outline rec ent methods to detect the capacity for multistationarity and to describe p arameters for which multistationarity occurs\, allowing for multiple stead y states with the same total amounts.\n\n//indico.ictp.it/event/8434/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8434/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR - Towards a multidimensional Descartes rule (but still far away) DTSTART;VALUE=DATE-TIME:20171116T150000Z DTEND;VALUE=DATE-TIME:20171116T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8433@ictp.it DESCRIPTION:\n Abstract:\n The classical Descartes' rule of signs bounds t he number of positive real roots of a univariate real polynomial in terms of the number of sign variations of its coefficients. This is an extremely simple rule\, which is exact when all the roots are real\, for instance\, for characteristic polynomials of symmetric matrices. No general multivar iate generalization is known for this rule\, not even a conjectural one.\n I will gently describe two partial multivariate generalizations obtained in collaboration with Stefan Müller\, Elisenda Feliu\, Georg Regensburger \, Anne Shiu\, Carsten Conradi and Frédéric Bihan. Our approach shows th at the number of positive roots of a polynomial system of n polynomials in n variables is related to the relation between the signs of the maximal minors of the matrix of exponents and of the matrix of coefficients (that is\, to the relation between the associated oriented matroids). I will exp lain which are the main challenges to devise a complete multivariate gener alization.\n \n\n\n//indico.ictp.it/event/8433/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8433/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR - What are the Betti numbers of a manifold? DTSTART;VALUE=DATE-TIME:20171128T153000Z DTEND;VALUE=DATE-TIME:20171128T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8450@ictp.it DESCRIPTION:\n Abstract:\n We will show how this innocent-sounding title l eads to some non-trivial questions of both topology and number theory.\n  \n\n//indico.ictp.it/event/8450/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8450/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-COURSE - Quantum Black Holes for Mathematicians (Lecture 1 of 4) DTSTART;VALUE=DATE-TIME:20171128T130000Z DTEND;VALUE=DATE-TIME:20171128T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8451@ictp.it DESCRIPTION:\n Description of the course: \n Study of black holes in strin g theory has revealed a beautiful and precise connection between the physi cs of quantum black holes and topics in number theory and geometry. The ai m of these lectures is to outline these connections through examples start ing with basic concepts and motivations from physics.\n\n//indico.ictp.it/ event/8451/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8451/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-COURSE - Quantum Black Holes for Mathematicians (Lecture 2 of 4) DTSTART;VALUE=DATE-TIME:20171205T130000Z DTEND;VALUE=DATE-TIME:20171205T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8452@ictp.it DESCRIPTION:\n Description of the course: \n Study of black holes in strin g theory has revealed a beautiful and precise connection between the physi cs of quantum black holes and topics in number theory and geometry. The ai m of these lectures is to outline these connections through examples start ing with basic concepts and motivations from physics.\n\n//indico.ictp.it/ event/8452/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8452/ END:VEVENT BEGIN:VEVENT SUMMARY:Towards a categorification of WRT invariant of 3-manifolds DTSTART;VALUE=DATE-TIME:20171206T130000Z DTEND;VALUE=DATE-TIME:20171206T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8455@ictp.it DESCRIPTION:\n Abstract: \n In my talk I will conjecture existence of cert ain new homological invariants of closed 3-manifolds. The invariants provi de a categorification of the analytically continued Witten-Reshetikhin-Tur aev (WRT) invariant\, have some similarities with Heegaard/monopole Floer homology and generalize Khovanov homology of knots to compact 3-manifolds. Physically such invariants can be defined as Hilbert spaces of M-theory i n certain backgrounds. I will describe mathematical properties of such inv ariants\, and how to calculate them for some specific types of 3-manifolds . The talk is mainly based on a joint work with S. Gukov\, D. Pei and C. V afa.\n\n//indico.ictp.it/event/8455/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8455/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-COURSE - Knot invariants\, units\, K-theory and modular forms (Lecture 1 of 3) DTSTART;VALUE=DATE-TIME:20171207T130000Z DTEND;VALUE=DATE-TIME:20171207T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8462@ictp.it DESCRIPTION:\n Description of the course: \n I will present joint work wit h Frank Calegari and Stavros Garoufalidis in which elements of the Bloch g roup of a number field (a more elementary version of algebraic K-theory th at will be explained in detail in the lectures) produce units in cyclotomi c extensions of this field. The result was motivated by experimental disco veries relating to quantum invariants (specifically\, Jones polynomials an d the Kashaev invariant) of knots\, and had an unexpected application to a proof of a well-known conjecture of Werner Nahm relating the modularity o f certain q-hypergeometric series to the vanishing of a certain invariant in the Bloch group.\n\n//indico.ictp.it/event/8462/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8462/ END:VEVENT BEGIN:VEVENT SUMMARY:Course on Vertex algebras and modular forms DTSTART;VALUE=DATE-TIME:20171208T140000Z DTEND;VALUE=DATE-TIME:20171208T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8468@ictp.it DESCRIPTION:The course normally takes place at SISSA. It has been reschedu led at ICTP as SISSA is closed on Friday\, 8 December 2017.\n\n//indico.ic tp.it/event/8468/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8468/ END:VEVENT BEGIN:VEVENT SUMMARY:Modular forms of rational weights and the minimal models DTSTART;VALUE=DATE-TIME:20171208T150000Z DTEND;VALUE=DATE-TIME:20171208T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8469@ictp.it DESCRIPTION:\n Abstract: After the modular forms of rational weights on Γ (5) (and Γ(7)) were dis- covered\, T. Ibukiyama formulated modular forms of weights (N − 3)/2N (N > 3 and odd) on Γ(N) in the millennium\, which have remained mysterious until now. In this talk I will gives a new point of view\, which has advantages of understanding the factional weights and congruence groups that appear in the theory of Ibukiyama. I (we) have bee n working on the minimal models and the associated differential equations which are a higher order generalization of Kaneko-Zagier equation. Recentl y\, we found that the special case of the minimal models “essentially” gives these modular forms of fractional weights\, where “essentially” means “after multiplying a power of eta function.” The characters (on e-point functions) of (rational) conformal field theories may have negativ e powers of q when they are expanded as Fourier series. Of course\, we can have only non-negative powers by multiplying a power of q. However\, the results lose almost all good properties which characters have (including m odular invariance property). Now\, since the eta function commutes with th e Serre derivation\, we multiply a power of the eta function to the charac ters. Moreover\, the power must be the so-called effective central charge in the Physics literature. Then the result we will prove is that modular f orms of rational weights are obtained by multiplying ηceff to characters. In a point of view of differential equations such as the Kaneko-Zagier eq uation\, special functions would be defined as solutions of differential e quations with regular singularities. Therefore\, we may think that modular forms of rational weights would be “special functions.” This talk req uires elementary knowledge of (modular forms)\, vertex operator algebras\, minimal models and modular linear differential equations\, which have bee n (will be) given in series of lectures of Prof. Zagier.Finally\, this is a joint work with Y. Sakai (who is a number theorist) at Kyushu University . \n\n//indico.ictp.it/event/8469/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8469/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-COURSE - Knot invariants\, units\, K-theory and modular forms (Lecture 2 of 3) DTSTART;VALUE=DATE-TIME:20171212T150000Z DTEND;VALUE=DATE-TIME:20171212T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8463@ictp.it DESCRIPTION:\n Description of the course:\n I will present joint work with Frank Calegari and Stavros Garoufalidis in which elements of the Bloch gr oup of a number field (a more elementary version of algebraic K-theory tha t will be explained in detail in the lectures) produce units in cyclotomic extensions of this field. The result was motivated by experimental discov eries relating to quantum invariants (specifically\, Jones polynomials and the Kashaev invariant) of knots\, and had an unexpected application to a proof of a well-known conjecture of Werner Nahm relating the modularity of certain q-hypergeometric series to the vanishing of a certain invariant i n the Bloch group.\n\n//indico.ictp.it/event/8463/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8463/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR - Topological matter: why and for what is to pology used to describe real and artificial materials DTSTART;VALUE=DATE-TIME:20171213T150000Z DTEND;VALUE=DATE-TIME:20171213T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8441@ictp.it DESCRIPTION:\n Abstract:\n In this seminar\, I shall give an overview of w hy and how mathematical concepts from topology have been pivotal in unders tanding paradigmatic phenomena in solid state and atomic systems. Firstly\ , I will present an example showing the direct connection between topologi cal invariants - in particular\, the Chern number - and measurable quantit ies such as currents\, of direct relevance to quantum Hall physics. Second ly\, I will summarize recent exciting results in cold atom physics that ha ve allowed to bring the aforementioned connection to a deeper level\, by d irecting accessing both the Chern number and Berry’s curvature in experi ments. Finally\, I will discuss the potential of such concepts for future quantum technologies\, and put down some recent challenges at the interfac e between math and theoretical physics in the context of the many-body pro blem.\n\n//indico.ictp.it/event/8441/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8441/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-COURSE - Quantum Black Holes for Mathematicians (Lecture 3 of 4) DTSTART;VALUE=DATE-TIME:20171213T123000Z DTEND;VALUE=DATE-TIME:20171213T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8453@ictp.it DESCRIPTION:\n Description of the course: \n Study of black holes in strin g theory has revealed a beautiful and precise connection between the physi cs of quantum black holes and topics in number theory and geometry. The ai m of these lectures is to outline these connections through examples start ing with basic concepts and motivations from physics.\n\n//indico.ictp.it/ event/8453/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8453/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-COURSE - Quantum Black Holes for Mathematicians (Lecture 4 of 4) DTSTART;VALUE=DATE-TIME:20171214T123000Z DTEND;VALUE=DATE-TIME:20171214T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8454@ictp.it DESCRIPTION:\n Description of the course: \n Study of black holes in strin g theory has revealed a beautiful and precise connection between the physi cs of quantum black holes and topics in number theory and geometry. The ai m of these lectures is to outline these connections through examples start ing with basic concepts and motivations from physics\n\n//indico.ictp.it/e vent/8454/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8454/ END:VEVENT BEGIN:VEVENT SUMMARY:MINI-COURSE - Knot invariants\, units\, K-theory and modular forms (Lecture 3 of 3) DTSTART;VALUE=DATE-TIME:20171214T150000Z DTEND;VALUE=DATE-TIME:20171214T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8464@ictp.it DESCRIPTION:\n Description of the course:\n I will present joint work with Frank Calegari and Stavros Garoufalidis in which elements of the Bloch gr oup of a number field (a more elementary version of algebraic K-theory tha t will be explained in detail in the lectures) produce units in cyclotomic extensions of this field. The result was motivated by experimental discov eries relating to quantum invariants (specifically\, Jones polynomials and the Kashaev invariant) of knots\, and had an unexpected application to a proof of a well-known conjecture of Werner Nahm relating the modularity of certain q-hypergeometric series to the vanishing of a certain invariant i n the Bloch group.\n\n//indico.ictp.it/event/8464/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8464/ END:VEVENT BEGIN:VEVENT SUMMARY:On the regularity of maximal operators DTSTART;VALUE=DATE-TIME:20180116T150000Z DTEND;VALUE=DATE-TIME:20180116T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8483@ictp.it DESCRIPTION:\n Abstract:  In this talk we will discuss questions about th e boundedness and continuity of classical and fractional maximal operators acting on Sobolev spaces and spaces of functions of bounded variation.\n\ n//indico.ictp.it/event/8483/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8483/ END:VEVENT BEGIN:VEVENT SUMMARY:Singularities of mean curvature flow and surgery DTSTART;VALUE=DATE-TIME:20180123T130000Z DTEND;VALUE=DATE-TIME:20180123T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8482@ictp.it DESCRIPTION:\n Abstract: Let γ : M × [0.T ) → Rn+1 be a family of smoo th immersions of an n−dimensional manifold M evolving by mean curvature flow. When M is compact\, it is well known that the mean curvature flow is defined up to a finite singular time T at which the curvature of the hype rsurface becomes unbounded. For instance\, if the initial surface is conve x\, the evolving surfaces become spherical and contract to a point. On the other hand\, if the initial surface is not convex\, the evolution may bec ome singular without shrinking. The study of singularities for the mean cu rvature flow is of great interest but\, also in the last decades several m ethods have been developed to continue the flow beyond the first singular time. Huisken and Sinestrari con- sidered a new approach based on a surger y procedure to extend the mean curvature flow after singularities. This co nstruction was inspired by a procedure originally introduced by Hamilton f or the Ricci flow which played a fundamental role in the work by Perelman to prove the Poincare` and Geometrization conjectures. The results about s ingularities and surgery for the mean curvature flow were obtained for man ifolds of codi- mension 1. In this case the comparison principle is fundam ental which\, among others things\, ensures that the embeddedness is prese rved. In contrast\, the comparison principle cannot be applied for higher codimension mani- folds making more difficult the study of such evolution. In this talk I will introduce the types of singularities as well as the p rocedure of surgery for mean curvature flow. We are going to discuss some new results concerning the simplest case in higher codimension\, space cur ves.\n\n//indico.ictp.it/event/8482/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8482/ END:VEVENT BEGIN:VEVENT SUMMARY:Parity of ranks of abelian surfaces DTSTART;VALUE=DATE-TIME:20180201T130000Z DTEND;VALUE=DATE-TIME:20180201T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8479@ictp.it DESCRIPTION:\n Abstract: Let K be a number field and A/K an abelian surfac e. By the Mordell-Weil theorem\, the group of K-rational points on A is fi nitely generated and as for elliptic curves\, its rank is predicted by the Birch and Swinnerton-Dyer conjecture. A basic consequence of this conject ure is the parity conjecture: the sign of the functional equation of the L -series determines the parity of the rank of A/K. Under suitable local con straints and finiteness of the Shafarevich-Tate group\, we prove the parit y conjecture for principally polarized abelian surfaces. We also prove ana logous unconditional results for Selmer groups.\n\n//indico.ictp.it/event/ 8479/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8479/ END:VEVENT BEGIN:VEVENT SUMMARY:Gerstenhaber structure of a class of special biserial algebras DTSTART;VALUE=DATE-TIME:20180208T130000Z DTEND;VALUE=DATE-TIME:20180208T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8502@ictp.it DESCRIPTION:Abstract - see file below\n\n//indico.ictp.it/event/8502/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8502/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR - Hochschild (co)homology and geometric regu larity DTSTART;VALUE=DATE-TIME:20180209T130000Z DTEND;VALUE=DATE-TIME:20180209T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8509@ictp.it DESCRIPTION:\n Abstract:\n Hochschild (co)homology spaces are homological invariants of associative algebras that are useful to describe several pro perties of the concerned algebra. In this talk we will focus on geometric regularity. If the algebra is commutative and finitely generated\, then Ho chschild homology can be used to decide whether the associated algebraic v ariety is regular or not. In the non-commutative case\, the meaning of all this is not so clear. In this talk I will first describe Hochschild (co)h omology and the results that are known in the commutative setting\, and I will comment afterwards on the non-commutative case.\n\n//indico.ictp.it/e vent/8509/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8509/ END:VEVENT BEGIN:VEVENT SUMMARY:Capacity estimates and rigidity of domains with corners DTSTART;VALUE=DATE-TIME:20180213T150000Z DTEND;VALUE=DATE-TIME:20180213T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8510@ictp.it DESCRIPTION:\n Abstract: Estimates in geometric terms of the capacity of c ompact sets are of great interesting and appears naturally both in Geometr y and Physics (e.g.\, in electrostatic and physical descriptions of flows where Laplace equations is used). I will discuss about capacity inequaliti es involving the total mean curvature of hypersurfaces with boundary in co nvex cones and the mass of asymptotically flat manifolds with non-compact boundary.  In fact\, I will present analogous of Pölia-Szegö\, Alexandr ov-Fenchel and Penrose type inequalities in this setting.\n\n//indico.ictp .it/event/8510/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8510/ END:VEVENT BEGIN:VEVENT SUMMARY:On the Dirichlet Parabolicity and the L¹-Liouville Property DTSTART;VALUE=DATE-TIME:20180215T130000Z DTEND;VALUE=DATE-TIME:20180215T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8511@ictp.it DESCRIPTION:\n Abstract: In this talk we will discuss on the L¹-Liouville property for positive\, superharmonic functions by providing many evidenc es that its validity relies on geometric conditions localized on large eno ugh portions of the space. By the way\, we present some examples in any di mension showing that the L¹-Liouville property is strictly weaker than th e stochastic completeness of the manifold. The main tool in our investigat ions is represented by the potential theory of a manifold with boundary su bject to Dirichlet boundary conditions. This is a joint work with Professo rs Stefano Pigola and Alberto G. Setti (Università degli Studi dell'Insub ria - Italia)\n\n//indico.ictp.it/event/8511/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8511/ END:VEVENT BEGIN:VEVENT SUMMARY:Quenched decay of correlations for slowly mixing systems DTSTART;VALUE=DATE-TIME:20180219T130000Z DTEND;VALUE=DATE-TIME:20180219T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8532@ictp.it DESCRIPTION:\n (joint work with Wael Bahsoun and Chris Bose)\n\n//indico.i ctp.it/event/8532/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8532/ END:VEVENT BEGIN:VEVENT SUMMARY:Gromov’s conjecture on non-free isometric immersions DTSTART;VALUE=DATE-TIME:20180220T150000Z DTEND;VALUE=DATE-TIME:20180220T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8507@ictp.it DESCRIPTION://indico.ictp.it/event/8507/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8507/ END:VEVENT BEGIN:VEVENT SUMMARY:Joint MATH-QLS Seminar - A simple tool for complex problems: The a daptive interpolation method for the Wigner spiked model DTSTART;VALUE=DATE-TIME:20180227T130000Z DTEND;VALUE=DATE-TIME:20180227T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8549@ictp.it DESCRIPTION:\n Abstract: There has been much progress recently in proving single-letter formulas for the mutual information (or " free energy ") in high-dimensional estimation and learning problems. Computing the mutual in formation is important in order to locate the various " phase transitions " occurring in such problems when the noise increases or the data becomes too scarce. It is also key in computing various optimal achievable errors. Unfortunately all existing methods are highly involved\, difficult to gen eralize and restricted in their applicability. In this talk I'll present a new method\, called " adaptive interpolation method "\, that eliminates t hese barriers all at once: It is much simpler\, very generic and able to t ackle problems that were resisting until now. I will illustrate the method on a paradigmatic model of high-dimensional estimation\, namely the " Wig ner spiked model " (or " low-rank matrix factorization "). I will also bri efly review some models that are now under full rigorous control thanks to this approach\, as well as very recent extensions to physics models such as the " ferromagnetic p-spin model on sparse random graphs "\, an open pr oblem for decades for reasons that I'll mention.\n\n//indico.ictp.it/event /8549/ LOCATION:ICTP SISSA building URL://indico.ictp.it/event/8549/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR - Gravitational waves as predicted by Einste in: signals from black holes collisions in the distant universe DTSTART;VALUE=DATE-TIME:20180228T150000Z DTEND;VALUE=DATE-TIME:20180228T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8515@ictp.it DESCRIPTION:\n Abstract: \n Einstein predicted that gravitational waves ex ist when he discovered the theory of general relativity more than a centur y ago. Einstein\, however\, never believed that it would be possible to de tect such waves and he did not believe that black holes exist. Yet\, the l ast Nobel Prize in physics was awarded for the detection of gravitational waves from colliding black holes. I will explain how such waves are genera ted in black hole mergers\, how they were detected against all odds by usi ng laser interference technology and what they could teach us about gravit y\, black holes and the universe.\n\n//indico.ictp.it/event/8515/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8515/ END:VEVENT BEGIN:VEVENT SUMMARY:Carleson measure Problem for Hardy spaces on tube domains over sym metric cones DTSTART;VALUE=DATE-TIME:20180301T130000Z DTEND;VALUE=DATE-TIME:20180301T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8512@ictp.it DESCRIPTION://indico.ictp.it/event/8512/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8512/ END:VEVENT BEGIN:VEVENT SUMMARY:Some specialization theorems in geometry and number theory DTSTART;VALUE=DATE-TIME:20180308T130000Z DTEND;VALUE=DATE-TIME:20180308T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8485@ictp.it DESCRIPTION:\n Abstract: Specialization theorems roughly speaking assert t hat some property valid for a family remains valid for some specialization of the parameters describing the family.\n We shall recall well-known ins tances\, such as Bertini and Hilbert Irreducibility theorems\, and present some new results.\n We shall also illustrate some new kind of specializat ion theorems\, e.g. for moduli spaces of abelian varieties.\n\n//indico.ic tp.it/event/8485/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8485/ END:VEVENT BEGIN:VEVENT SUMMARY:Automatic crowd scene analysis and anomaly detection from video su rveillance cameras DTSTART;VALUE=DATE-TIME:20180315T130000Z DTEND;VALUE=DATE-TIME:20180315T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8539@ictp.it DESCRIPTION:\n Abstract: Crowd activities and behaviors have significantly expanded in our daily life due to the massive increase in population and technological advances. This growth has forced governments and authorities to hold more attention on these types of scenes particularly\, for crowd management and security issues. Therefore\, analysis of crowded scenes has become one of the most attractive topics in the computer vision and patte rn recognition community. In this talk we introduce crowd scene analysis t hrough an approach that we have developed based on extracting short trajec tories (tracklets) and clustering them into coherent groups to form motion pathways.\n\n//indico.ictp.it/event/8539/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8539/ END:VEVENT BEGIN:VEVENT SUMMARY:Virtual topological invariants of moduli spaces DTSTART;VALUE=DATE-TIME:20180322T130000Z DTEND;VALUE=DATE-TIME:20180322T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8550@ictp.it DESCRIPTION:\n Abstract:  This is report on joint work with Martijn Kool. Using arguments from theoretical physics\, Vafa and Witten gave a generat ing function for the Euler numbers of moduli spaces of rank 2 coherent she aves on algebraic surfaces. Sheaves can be viewed as generalizations of ve ctor bundles. Moduli spaces are algebraic varieties that parametrize the o bjects in which we are interested.\n  \n While the Vafa-Witten formula ca nnot be literally true as a formula for the Euler numbers in general\, we give an interpretation of it in terms of virtual topological invariants\, and confirm it in many cases. We extend the results to finer topological i nvariants and also to rank 3.\n  \n Such virtual invariants occur everywh ere in modern enumerative geometry\, inspired by physics\, like Gromov-Wit ten invariants and Donaldson Thomas invariants\, when attempting to make s ense of the predictions from physics. Basically the idea is that the modul i spaces have very bad properties\, but they "want to be" smooth\, and the virtual invariants are those that they would have if they were smooth.\n  \n We will try to give elementary explanations of all these concepts and their background\, as much as is possible. Most of the time will be spent to just trying to explain the problem and the result. If there is time\, some hints will be given about the methods.\n\n//indico.ictp.it/event/8550 / LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8550/ END:VEVENT BEGIN:VEVENT SUMMARY:Some recent progress on the relaxation of the area functional DTSTART;VALUE=DATE-TIME:20180328T120000Z DTEND;VALUE=DATE-TIME:20180328T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8567@ictp.it DESCRIPTION:\n Abstract: We introduce the area functional\, namely the map which evaluates the area of the graph of a given C^1 vector valued functi on u defined on a open domain on R^n. We discuss the problem of relaxation of the area functional and recall some important properties. Then we cons ider the problem of triple junction points\, in the presence of which the area functional shows nonlocal behaviour. The problem of evaluating the ar ea functional on such maps is related to a problem of minimal surfaces who se solution passes by application of geometric analysis tools.\n\n//indico .ictp.it/event/8567/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8567/ END:VEVENT BEGIN:VEVENT SUMMARY:Relative Auslander's Formula DTSTART;VALUE=DATE-TIME:20180329T120000Z DTEND;VALUE=DATE-TIME:20180329T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8566@ictp.it DESCRIPTION:\n Abstract:   Auslander's formula suggests that for studyin g an abelian category\, one may study the category of finitely presented a dditive functors on it\, that has nicer homological properties than the ca tegory itself\, and then translate the results back to the original catego ry. According to H. Lenzing\, a considerable part of Auslander's work on t he representation theory of finite dimensional\, or more general artin\, a lgebras can be connected to this formula.\n In this talk\, we first recall the Auslander's proof of the formula and then introduce and study a relat ive version of it. As application\, some connections between the Morita eq uivalences of the endomorphism algebras of generators and the Morita equiv alences of the original algebras will be provided.The talk is based on a j oint work with R. Hafezi and M. H. Keshavarz. \n\n//indico.ictp.it/event/8 566/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8566/ END:VEVENT BEGIN:VEVENT SUMMARY:SPECIALIZED SEMINAR - Finite determinacy of matrices of power seri es DTSTART;VALUE=DATE-TIME:20180405T123000Z DTEND;VALUE=DATE-TIME:20180405T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8568@ictp.it DESCRIPTION:Abstract - See document below\n\n//indico.ictp.it/event/8568/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8568/ END:VEVENT BEGIN:VEVENT SUMMARY:Two problems related to the Riemann Hypothesis DTSTART;VALUE=DATE-TIME:20180412T123000Z DTEND;VALUE=DATE-TIME:20180412T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8573@ictp.it DESCRIPTION:Abstract:\nThey are quite different\, and both quite amazing.\ n\n//indico.ictp.it/event/8573/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8573/ END:VEVENT BEGIN:VEVENT SUMMARY:Studying geometry with arithmetic techniques DTSTART;VALUE=DATE-TIME:20180426T123000Z DTEND;VALUE=DATE-TIME:20180426T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8585@ictp.it DESCRIPTION:\n Abstract: See file below\n\n//indico.ictp.it/event/8585/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8585/ END:VEVENT BEGIN:VEVENT SUMMARY:Global Existence of Solutions to Scalar Equations on Spatially Fla t Universe as a Background with Non-minimal Coupling DTSTART;VALUE=DATE-TIME:20180503T123000Z DTEND;VALUE=DATE-TIME:20180503T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8572@ictp.it DESCRIPTION:\n Abstract: We prove the wellposedness of scalar wave equatio ns on spatially at universe as a background with nonminimal coupling with the scalar potential turned on by introducing the k-order linear energy an d the corresponding energy norm. In the local case\, we show that both the k-order linear energy and the energy norm are bounded for finite time wit h initial data in Hk+1 × Hk. Whereas in the global case\, we have to add three assumptions related to the nonminimal coupling constant\, the scale factor of spacetimes\, and the form of the scalar that has to be a polynom ial with a small positive parameter. Then\, we show that the solution does globally exist with a particular decay estimate that depends on the scale factor of the spacetimes. Finally\, we provide some physical models that support our general setup.\n\n//indico.ictp.it/event/8572/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8572/ END:VEVENT BEGIN:VEVENT SUMMARY:On embeddings of manifolds DTSTART;VALUE=DATE-TIME:20180508T140000Z DTEND;VALUE=DATE-TIME:20180508T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8590@ictp.it DESCRIPTION:\n Abstract: \n One of the most important problem in geometric topology is the “embedding problem”. After revisiting embedding probl ems in various categories\, we discuss some recent developments in smooth and contact category. The concepts required will be developed in the talk and the talk will be accessible to an advanced undergraduate audience.\n\n //indico.ictp.it/event/8590/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8590/ END:VEVENT BEGIN:VEVENT SUMMARY:Surjectivity Problems for Monotone Operators DTSTART;VALUE=DATE-TIME:20180517T123000Z DTEND;VALUE=DATE-TIME:20180517T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8592@ictp.it DESCRIPTION:\n Abstract:\n We begin exploring a well-known notion for fini te dimensional spaces that appears to be revealed\, as well\, in infinite dimensional spaces. This fact will allow us to examine the notion on monot onicity in a more general setting. The presentation will be self-contained and connecting well-known results\, such as Lax-Milgram Theorem.\n Please note unusual venue: LECTURE ROOM D (Leonardo Building\, Terrace Level)\n  \n\n//indico.ictp.it/event/8592/ LOCATION:ICTP Leonardo Building - Lecture Room D URL://indico.ictp.it/event/8592/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR: Introduction to Quantum Computation DTSTART;VALUE=DATE-TIME:20180523T123000Z DTEND;VALUE=DATE-TIME:20180523T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8569@ictp.it DESCRIPTION:\n Abstract:\n I will give a very brief introduction to the co ncept of computation on a computer\, and in particular on a quantum comput er.\n I will try to describe for which kind of problems we could expect a speed-up due to quantum mechanics and discuss the status of the technology in this direction.\n\n//indico.ictp.it/event/8569/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8569/ END:VEVENT BEGIN:VEVENT SUMMARY:A Geometric View on Tsen's Theorem DTSTART;VALUE=DATE-TIME:20180524T123000Z DTEND;VALUE=DATE-TIME:20180524T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8583@ictp.it DESCRIPTION:\n Abstract:\n In 1936 Tsen proved that a 1-dimensional family of hypersurfaces of degree d in projective n-space always admits a sectio n provided that d is less than or equal to n. This simple statement has be en generalized in many ways\, and still inspires developments in algebraic geometry. In this talk I will survey the history of Tsen’s Theorem\, mo stly from the geometric point of view\, and describe current re- search to ward new interpretations and generalizations.\n\n//indico.ictp.it/event/85 83/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8583/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR: The Geometry of Tensors DTSTART;VALUE=DATE-TIME:20180601T123000Z DTEND;VALUE=DATE-TIME:20180601T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8584@ictp.it DESCRIPTION:\n Abstract:\n Tensors are fundamental objects in multilinear algebra\, with important applications to the complexity of matrix multipli cation\, signal processing\, phylogenetics and algebraic statistics. In ap plications\, one generally looks for minimal decomposition of tensors as l inear combinations of undecomposable tensors. The smallest integer r neede d to write a tensor T as a linear combination of r undecomposable tensors is called the rank of T. Determining the rank of a tensor is a problem tha t has received much attention in recent years\, and has a nice geometric i nterpretation.\n In this talk I will explain some applications of tensors decomposition and interpret the problem from the point of view of algebrai c geometry. In particular\, I will present new results about ranks of tens ors\, in collaboration with Alex Massarenti and Rick Rischter.\n\n//indico .ictp.it/event/8584/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8584/ END:VEVENT BEGIN:VEVENT SUMMARY:SPECIALIZED SEMINAR: Exceptional splitting of reductions of abelia n surfaces with real multiplication DTSTART;VALUE=DATE-TIME:20180619T140000Z DTEND;VALUE=DATE-TIME:20180619T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8597@ictp.it DESCRIPTION://indico.ictp.it/event/8597/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8597/ END:VEVENT BEGIN:VEVENT SUMMARY:Regularity of spherical maximal functions DTSTART;VALUE=DATE-TIME:20180703T140000Z DTEND;VALUE=DATE-TIME:20180703T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8605@ictp.it DESCRIPTION:\n Abstract:\n Fractional integrals and the classical fraction al maximal function are smoothing operators\, in the sense that they map L ebesgue spaces into first order Sobolev spaces. We show that this phenomen on continues to hold for the fractional spherical maximal function when th e dimension of the ambient space is greater than or equal to 5. A key elem ent in the proof is a local smoothing estimate for the wave equation.\n Th is is joint work with Joao P. G. Ramos and Olli Saari.\n\n//indico.ictp.it /event/8605/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8605/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometric regularity for (nonlinear) PDEs DTSTART;VALUE=DATE-TIME:20180704T140000Z DTEND;VALUE=DATE-TIME:20180704T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8619@ictp.it DESCRIPTION:\n Abstract:\n In this talk we examine the regularity theory o f the solutions to a few examples of (nonlinear) PDEs. Arguing through a g enuinely geometrical method\, we produce regularity results in Sobolev and Hölder spaces\, including some borderline cases. Our techniques relate a problem of interest to another one - for which a richer theory is availab le - by means of a geometric structure\, e.g.\, a path. Ideally\, informat ion is transported along such a path\, giving access to finer properties o f the original equation. Our examples include elliptic and parabolic fully nonlinear problems\, the Isaacs equation\, degenerate examples and a doub le divergence model. We close the talk with a discussion on open problems and further directions of work.\n\n//indico.ictp.it/event/8619/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8619/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometric Computation of Betti numbers of Springer varieties DTSTART;VALUE=DATE-TIME:20180705T123000Z DTEND;VALUE=DATE-TIME:20180705T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8618@ictp.it DESCRIPTION:\n Abstract: \n There are quite a number of subvarieties which can be defined to sit inside flag varieties. One of such is the family of Hessenberg varieties. In this talk\, I will give combinatorial and geomet ric descriptions of the computation of the one of the class members of the family known as Springer varieties and discuss the current problem at han d.\n\n//indico.ictp.it/event/8618/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8618/ END:VEVENT BEGIN:VEVENT SUMMARY:Ergodicity and Partial Hyperbolicity on 3D Manifolds DTSTART;VALUE=DATE-TIME:20180713T140000Z DTEND;VALUE=DATE-TIME:20180713T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8627@ictp.it DESCRIPTION:Abstract: see document below\n\n//indico.ictp.it/event/8627/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8627/ END:VEVENT BEGIN:VEVENT SUMMARY:Smooth invariant manifolds of renormalization DTSTART;VALUE=DATE-TIME:20180802T123000Z DTEND;VALUE=DATE-TIME:20180802T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8608@ictp.it DESCRIPTION:\n Abstract: Topological classes are often invariant manifolds of renormalization. Unfortunately\, renormalization is not a differentiab le dynamical system. The stable manifold theorem for hyperbolic dynamics c an not be applied. The talk will discuss a technique to construct smooth i nvariant manifolds in such a non-differentiable context.\n\n//indico.ictp. it/event/8608/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8608/ END:VEVENT BEGIN:VEVENT SUMMARY:The rigidity conjecture DTSTART;VALUE=DATE-TIME:20180802T140000Z DTEND;VALUE=DATE-TIME:20180802T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8623@ictp.it DESCRIPTION:\n Abstract: \n A central question in dynamics is whether the topology of a system determines its geometry\, whether the system is rigid . Under mild topological conditions rigidity holds in many classical cases \, including: Kleinian groups\, circle diffeomorphisms\, unimodal interval maps\, critical circle maps\, and circle maps with a break point. More re cent developments show that under similar topological conditions\, rigidit y does not hold for slightly more general systems.\n We will discuss the c ase of circle maps with a flat interval. The class of maps with Fibonacci rotation numbers is a C1 manifold which is foliated with co dimension thre e rigidity classes. Finally\, we summarize the known non-rigidity phenomen a in a conjecture which describes how topological classes are organized in to rigidity classes.\n\n//indico.ictp.it/event/8623/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8623/ END:VEVENT BEGIN:VEVENT SUMMARY:Finite groups of birational automorphisms DTSTART;VALUE=DATE-TIME:20180828T140000Z DTEND;VALUE=DATE-TIME:20180828T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8668@ictp.it DESCRIPTION:\n Abstract: Groups of birational transformations are a classi cal object of study. In many cases these groups are huge and very difficul t to describe. The purpose of the talk is to discuss recent results on FIN ITE subgroups of birational automorphism groups. I will present all the ba sic definitions and many examples. The talk is based on joint works with C onstantin Shramov.\n\n//indico.ictp.it/event/8668/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8668/ END:VEVENT BEGIN:VEVENT SUMMARY:CscK metrics on Kähler manifolds with semi-ample canonical bundle s DTSTART;VALUE=DATE-TIME:20180830T123000Z DTEND;VALUE=DATE-TIME:20180830T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8664@ictp.it DESCRIPTION:\n Abstract: We use the recent theorem of Chen-Cheng to prove the existence of a family of constant scalar curvature Kähler metrics on any Kähler manifold with semi-ample canonical bundle. A conjecture about the limiting behavior of these metrics will also be discussed.This is join t work with Wangjian Jian and Jian Song.\n\n//indico.ictp.it/event/8664/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8664/ END:VEVENT BEGIN:VEVENT SUMMARY:Spin-TQFTs and cobordisms DTSTART;VALUE=DATE-TIME:20180904T140000Z DTEND;VALUE=DATE-TIME:20180904T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8665@ictp.it DESCRIPTION:\n Abstract: Topological Quantum Field Theories (TQFTs) play i mportant role both in physics and mathematics\, in particular low-dimensio nal topology. In my talk I will review this notion and consider a family o f TQFTs in various dimensions for which the input data is a finite group G and an element of a spin cobordism group of its classifying space BG. I w ill also describe some explicit examples of such TQFTs.\n\n//indico.ictp.i t/event/8665/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8665/ END:VEVENT BEGIN:VEVENT SUMMARY:Compact 3-dimensional geometric solenoidal manifolds DTSTART;VALUE=DATE-TIME:20180906T123000Z DTEND;VALUE=DATE-TIME:20180906T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8692@ictp.it DESCRIPTION:\n Abstract. We present several results about solenoidal manif olds motivated by results by Dennis Sullivan in [1] with commentaries deve loped in [2] and on a join project with Dennis Sullivan [3]. Solenoidal ma nifolds of dimension n are topological spaces which are locally homeomorph ic to the product of a Cantor set with an open subset of Rn. Geometric 3-d imensional solenoidal manifolds are the analog of geometric 3-manifolds in the sense of Thurston. We will give some results related to 3-dimensional geometric solenoidal manifolds.Referencias [1] D. Sullivan\, Solenoidal m anifolds\, J. Singul. 9 (2014)\, 203–205.\n [2] A. Verjovsky\, Commentar ies on the paper “Solenoidal manifolds” by Dennis Sullivan. J. Singul. 9 (2014)\, 245–251.\n [3] D. Sullivan\, A. Verjovsky\, Compact 3-dimens ional geometric solenoidal ma- nifolds. In preparation.\n\n//indico.ictp.i t/event/8692/ LOCATION:ICTP Luigi Stasi Room URL://indico.ictp.it/event/8692/ END:VEVENT BEGIN:VEVENT SUMMARY:Discriminants of complete Intersection Varieties (joint work with Laurent Busé (INRIA\, Nice -France)) DTSTART;VALUE=DATE-TIME:20180911T140000Z DTEND;VALUE=DATE-TIME:20180911T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8697@ictp.it DESCRIPTION:\n Abstract:\n We develop a new approach of the discriminant o f a complete intersection curve in the 3-dimensional projective space. By relying on the resultant theory\, we prove a new formula that allows us to define this discriminant without ambiguity and over any commutative ring\ , in particular in any characteristic. This formula also provides a new me thod for evaluating and computing this discriminant more efficiently\, wit hout the need to introduce new variables as with the well-known Cayley tri ck. Then\, we derive new properties and we show that this new definition o f the discriminant satisfies the expected geometric property and yields an effective smoothness criterion for complete intersection space curves.\n\ n//indico.ictp.it/event/8697/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8697/ END:VEVENT BEGIN:VEVENT SUMMARY:Dirichlet boundary values on Euclidean balls with infinitely many solutions for the minimal surface system DTSTART;VALUE=DATE-TIME:20180920T123000Z DTEND;VALUE=DATE-TIME:20180920T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8737@ictp.it DESCRIPTION:Abstract: \n We make systematic developments on Lawson-Osserma n constructions relating to the Dirichlet problem (over unit disks) for mi nimal surfaces of high codimension in their 1977' Acta paper. In particula r\, we show the existence of boundary functions for which infinitely many analytic solutions and at least one nonsmooth Lipschitz solution exist sim ultaneously. This newly-discovered amusing phenomenon enriches the underst anding on the Lawson-Osserman philosophy.\n\n//indico.ictp.it/event/8737/ LOCATION:ICTP Luigi Stasi Room URL://indico.ictp.it/event/8737/ END:VEVENT BEGIN:VEVENT SUMMARY:Supports of the Hitchin fibration on the reduced locus DTSTART;VALUE=DATE-TIME:20181002T123000Z DTEND;VALUE=DATE-TIME:20181002T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8748@ictp.it DESCRIPTION://indico.ictp.it/event/8748/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8748/ END:VEVENT BEGIN:VEVENT SUMMARY:Modular linear differential equations DTSTART;VALUE=DATE-TIME:20181023T140000Z DTEND;VALUE=DATE-TIME:20181023T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8764@ictp.it DESCRIPTION://indico.ictp.it/event/8764/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8764/ END:VEVENT BEGIN:VEVENT SUMMARY:Symplectic Alternating Algebras DTSTART;VALUE=DATE-TIME:20181031T133000Z DTEND;VALUE=DATE-TIME:20181031T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8783@ictp.it DESCRIPTION:\n We first give some general overview of symplectic alternati ng algebras and then focus in particular on the structure and classificati on of nilpotent symplectic alternating algebras.\n\n//indico.ictp.it/event /8783/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8783/ END:VEVENT BEGIN:VEVENT SUMMARY:Stability notions in Kähler geometry DTSTART;VALUE=DATE-TIME:20181115T133000Z DTEND;VALUE=DATE-TIME:20181115T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8790@ictp.it DESCRIPTION:\n ABSTRACT:\n\n In an effort to find a higher dimensional ana logue of the classical uniformization theorem in complex geometry\, it was suggested by E. Calabi that one should study existence of "canonical metr ics" on compact Kähler manifolds. These are the so called extremal metric s\, characterized by the fact that they minimize a certain functional on t he space of Kähler metrics. Many natural and important classes of metrics fall into this category\, such as the Kähler-Einstein metrics\, that pla y a prominent role also in physics. Kähler-Einstein metrics were proven t o always exist on Calabi-Yau manifolds and on manifolds of general type. I n the case of Fano manifolds however\, it has been long known that they do not always exist\, and it was conjectured by S-T. Yau\, S. Donaldson and G. Tian that existence should be linked to stability of the underlying man ifold. In the case of Kähler-Einstein metrics on Fano manifolds this conj ecture was confirmed in 2012 by Chen-Donaldson-Sun and Tian independently\ , who showed that existence of Kähler Einstein metrics is equivalent to a stability condition in algebraic geometry called K-stability.\n\n General izing the above picture further we may ask about existence of a larger cla ss of extremal metrics\, namely the constant scalar curvature metrics. In this talk I will present an analytic/pluripotential approach to stability notions that obstruct existence of such metrics on arbitrary (not necessar ily projective) compact Kähler manifolds. I will explain how the methods used allow us to view classical algebraic stability notions in a new light \, and gives a framework for comparing certain stability notions to each o ther. Finally\, I will discuss how the pluripotential approach is related to recent developments regarding Tian's properness conjecture and generali zed Yau-Tian-Donaldson conjectures.\n\n//indico.ictp.it/event/8790/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8790/ END:VEVENT BEGIN:VEVENT SUMMARY:D-brane masses and the motivic Hodge conjecture DTSTART;VALUE=DATE-TIME:20181119T150000Z DTEND;VALUE=DATE-TIME:20181119T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8800@ictp.it DESCRIPTION:\n Abstract:\n We consider one complex structure parameter mir ror families W of Calabi-Yau 3-folds with Picard-Fuchs equations of hyperg eometric type. By mirror symmetry the even D-brane masses of the orginal C alabi-Yau M can be identified with four periods w.r.t. to an inte- gral sy mplectic basis of H3(W\, Z) at the point of maximal unipotent monodromy. I t was discovered by Chad Schoen in 1986 that the sin- gular fibre of the q uintic at the conifold point gives rise to a Hecke eigen form of weight fo ur f4 on Γ0(25) whose Fourier coefficients ap are determined by counting solutions in that fibre over the finite field Fpk . The D-brane masses at the conifold are given by the transition matrix Tmc between the integral s ymplectic basis and a Frobenius basis at the conifold. We predict and veri fy to very high precision that the entries of Tmc relevant for the D2 and D4 brane masses are given by the two periods (or L-values) of f4. These va lues also deter- mine the behaviour of the Weil-Petersson metric and its c urvature at the conifold. Moreover we describe a notion of quasi periods a nd find that the two quasi period of f4 appear in Tmc. We extend the analy - sis to the other hypergeometric one parameter 3-folds and comment on sim pler applications to local Calabi-Yau 3-folds.\n\n//indico.ictp.it/event/8 800/ LOCATION: Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8800/ END:VEVENT BEGIN:VEVENT SUMMARY:On noncommutative cubic surfaces and their moduli DTSTART;VALUE=DATE-TIME:20181121T133000Z DTEND;VALUE=DATE-TIME:20181121T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8793@ictp.it DESCRIPTION:\n Abstract: This is based on joint work with Shinnosuke Okawa and Kazushi Ueda. The zero loci of a cubic equations in three dimensional projective space are pretty cool! As varieties\, they may be deformed in four directions. However\, they may also be deformed as "noncommutative" s paces in an extra four dimensions. Here we realise these noncommutative de formations as certain quiver algebras. We then go on to study their moduli and compare them to existing theories of noncommutative cubic surfaces. T ime permitting we will discuss generalisations of these ideas to other del Pezzo surfaces.\n\n//indico.ictp.it/event/8793/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8793/ END:VEVENT BEGIN:VEVENT SUMMARY:Arithmetic and Analysis Day DTSTART;VALUE=DATE-TIME:20181123T083000Z DTEND;VALUE=DATE-TIME:20181123T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8802@ictp.it DESCRIPTION:\n 9:30 - 10:30 Emanuel Carneiro (ICTP)\n Title: Bounds for ze ta and primes via Fourier analysisAbstract: This will be a light talk (a s urvey-type talk with mention to several open problems) on some of the rece nt bounds for objects related to the Riemann zeta-function via the use of Fourier analysis machinery. Certain very interesting Fourier optimization problems come into play\, naturally related to our number theoretical enti ties. Very little analysis/number theory background is expected in order t o get the big picture of the talk.\n 10.30 - 11:00 Coffee break\n 11:00 - 12:00 Umberto Zannier (SNS\, Pisa)\n Title: Pell-Abel equation X^2-D(t)Y^2 =1\, to be solved in polynomials X(t)\,Y(t)\, and applications.Abstract: W e shall discuss the so-called Pell-Abel equation\, i.e. X^2-D(t)Y^2=1. Thi s is similar to the classical Pell equation (proposed in fact by Fermat)\, which appears in many issues of Number Theory. The polynomial version see ms less well-known\, but is old as well\, studied e.g. by Abel in 1826. We shall survey about this equation\, illustrating different mathematical is sue involving it. Then we shall also present some recent results about sol vability of the equations\, when D(t) runs through a pencil of polynomials .\n 12:00 Lunch\n 14:00 - 15:00 Danylo Radchenko (MPI)\n Title: Universal optimality\, Fourier interpolation\, and modular formsAbstract: I will tal k about a joint work with Henry Cohn\, Abhinav Kumar\, Stephen D. Miller\, and Maryna Viazovska. We look at the problem of arranging points in Eucli dean space in order to minimize their potential energy. In some exceptiona l case it might turn out that a single configuration is optimal for all po tentials that are completely monotone\; in this case such a configuration is called universally optimal. We show that the E8 lattice and the Leech l attice are universally optimal in their respective dimensions.\n 15:00 - 1 5:30 Coffee break\n 15:30 - 16:30 Felipe Gonçalves (University of Bonn)\n Title: Uncertainty principles connected with sphere packings.Abstract: In this talk we discuss recently discovered uncertainty principles related t o the problem of packing spheres in Euclidean space. Time permitting\, we will also discuss how these techniques can be used on other problems in nu mber theory.Everyone is welcome to attend \n\n//indico.ictp.it/event/8802/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8802/ END:VEVENT BEGIN:VEVENT SUMMARY:Endomorphism rings of Jacobians DTSTART;VALUE=DATE-TIME:20181126T100000Z DTEND;VALUE=DATE-TIME:20181126T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8765@ictp.it DESCRIPTION:\n Abstract:\n Over the last two centuries mathematicians have developed a very rich theory of abelian varieties\; however\, certain kin ds of explicit calculations have remained out of reach of our computationa l power until quite recently\, when theoretical and technological advances have led to a renewed interest in the computational side of the theory. I n this talk I will discuss one of the fundamental algorithmic problems one would like to solve\, namely that of determining the endomorphism ring of the Jacobian of an explicitly given curve over a number field. I will des cribe a method to compute the endomorphism ring of such a Jacobian\, start ing with the case of genus-2 curves\, and show the connection between this problem and a certain local-global principle for the center of the endomo rphism algebra. If time permits\, I will also outline how to prove the nec essary local-global principle for abelian surfaces and\, under the assumpt ion of the Mumford-Tate conjecture\, for all abelian varieties.\n\n//indic o.ictp.it/event/8765/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8765/ END:VEVENT BEGIN:VEVENT SUMMARY:Two-day workshop on Dynamical Systems (Wednesday\, 28th November 2 018) DTSTART;VALUE=DATE-TIME:20181128T130000Z DTEND;VALUE=DATE-TIME:20181128T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8809@ictp.it DESCRIPTION:\n 14:00 - 15:00 Maria Jose Pacifico (UFRJ\, Rio de Janeiro)La grange spectrum of Lorenz attractors\n We shall prove that the Lagrange sp ectrum of a geometric Lorenz attractor has non empty interior.\n 15:00 - 1 5:30 break\n 15:30 - 16:30 Katrin Gelfert (UFRJ\, Rio de Janeiro)Weak*\, a nd in entropy\, approximation of non-hyperbolic measures in partially hype rbolic diffeomorphisms\n We consider certain partially hyperbolic non-hype rbolic diffeomorphisms with one-dimensional central bundle and study how n on-hyperbolic ergodic measure (i.e. with zero central exponent) can be app roximated in the weak* topology and in entropy by measures supported in ba sic sets with positive (negative) central Lyapunov exponent. Our method al so allows to show how entropy changes "across" measures with central Lyapu nov exponent close to zero. Besides the construction of ergodic theoretic skeletons\, our arguments are mainly based on the existence of minimal str ong foliations and the existence of blender-horseshoes. We also prove that any non-hyperbolic ergodic measure is in the intersection of the convex h ulls of the measures with positive central exponent and with negative cent ral exponent. This talk is based on joint work with L. J. Díaz\, M. Rams\ , and B. Santiago.\n\n//indico.ictp.it/event/8809/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8809/ END:VEVENT BEGIN:VEVENT SUMMARY:Cahit ARF Lecture 2018: Combinatorics and Geometry DTSTART;VALUE=DATE-TIME:20181129T123000Z DTEND;VALUE=DATE-TIME:20181129T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8808@ictp.it DESCRIPTION://indico.ictp.it/event/8808/ LOCATION:Istanbul Center for Mathematical Sciences Cahit Arf Auditorium URL://indico.ictp.it/event/8808/ END:VEVENT BEGIN:VEVENT SUMMARY:Two-day workshop on Dynamical Systems (Friday\, 30th November 2018 ) DTSTART;VALUE=DATE-TIME:20181130T083000Z DTEND;VALUE=DATE-TIME:20181130T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8810@ictp.it DESCRIPTION:\n 9:30 - 10:30 Lucia Simonelli (ICTP)On Renormalization in Pa rabolic Dynamics\n We give an introduction to parabolic dynamics and the r elevant properties that can be proved through renormalization techniques. We describe in detail the Heisenberg nilflow renormalized by a partially h yperbolic automorphism of the nilmanifold. Through this renormalization it can be shown that the spectrum of the transfer operator of the partially hyperbolic map gives information about the (parabolic) nilflow\, in partic ular\, estimates for the deviation of ergodic averages.This talk is based on joint work with Oliver Butterley.\n  10:30 - 11:00      break\n  \n 11:00 - 12:00 Lorenzo J. Diaz (PUC\, Rio de Janeiro)Prescribed averag es and construction of non-hyperbolic ergodic measures\n The setting is a transitive diffeomorphism and a continuous potential taking positive and n egative values. We will discuss methods for constructing "interesting" orb its with prescribed averages for that potential and apply the results for the construction of nonhyperbolic ergodic measures.\n\n//indico.ictp.it/ev ent/8810/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8810/ END:VEVENT BEGIN:VEVENT SUMMARY:Periods and quasiperiods of modular forms DTSTART;VALUE=DATE-TIME:20181204T133000Z DTEND;VALUE=DATE-TIME:20181204T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8813@ictp.it DESCRIPTION:\n An elliptic curve over the complex numbers has an associate d period lattice\, generated by two complex numbers ω1 and ω2\, but as w ell as these two periods there are also two “quasiperiods” η1 and η2 satisfying the Legendre relatin ω1η2 − ω2η1 = 2πi. On the other ha nd\, modular forms of integral weight have associated “period polynomial s” whose coefficients are also called periods. In the first part of the lecture I will review the classical construction of these period polynomia ls (associated with the names Eichler\, Shimura\, and Manin) and explain t hat modular forms also have quasiperiods\, although this was apparently no t noticed until a couple of years ago. In the second part\, which can be s een as a continuation of Albrecht Klemm’s talk two weeks ago\, we will s ee that the periods and quasiperiods of certain modular forms appear (conj ecturally\, and numerically to high precision) in the transition matrices for the Picard-Fuchs differential equations of certain families of Calabi- Yau varieties.\n\n//indico.ictp.it/event/8813/ LOCATION:ICTP Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/8813/ END:VEVENT BEGIN:VEVENT SUMMARY:On the cohomology of smooth projective surfaces with p_g = q = 2 a nd maximal Albanese dimension DTSTART;VALUE=DATE-TIME:20181206T133000Z DTEND;VALUE=DATE-TIME:20181206T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8766@ictp.it DESCRIPTION:Abstract: \n In this talk I will report on a joint project wit h Matteo Penegini (Genova). The second cohomology of a surface S as mentio ned in the title splits up as a sum of two pieces. One piece comes from th e Albanese variety. The other piece looks like the cohomology of a K3 surf ace\, which we call a K3 partner X of S. If the surface S is a product-quo tient then we can geometrically construct the K3 partner X and an algebrai c correspondence that relates the cohomology of S and X. Finally\, we prov e the Tate and Mumford-Tate conjectures for all surfaces S that lie in the same connected component of the Gieseker moduli space as a product-quotie nt surface.\n\n//indico.ictp.it/event/8766/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8766/ END:VEVENT BEGIN:VEVENT SUMMARY:New complex analytic methods in the theory of minimal surfaces DTSTART;VALUE=DATE-TIME:20181207T150000Z DTEND;VALUE=DATE-TIME:20181207T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8788@ictp.it DESCRIPTION:\nAbstract: \n\n\n\n In this talk\, I will present some recent developments in the theory of minimal surfaces in Euclidean spaces which have been obtained as applications of both classical and modern complex an alytic methods. The emphasis will be on results pertaining to the global t heory of minimal surfaces\, including the Calabi-Yau problem\, constructio ns of properly immersed and embedded minimal surfaces in R^n and in minima lly convex domains of R^n\, results on the complex Gauss map\, and isotopi es of conformal minimal immersions.\n\n//indico.ictp.it/event/8788/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8788/ END:VEVENT BEGIN:VEVENT SUMMARY:Mock modular forms I DTSTART;VALUE=DATE-TIME:20181210T140000Z DTEND;VALUE=DATE-TIME:20181210T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8814@ictp.it DESCRIPTION:\n The theory of mock modular forms is fairly new\, having bee n initiated formally only in 2002\, but is motivated by the 17 “mock the ta functions” that Ramanujan described in a letter to Hardy much earlier \, in 1920. Since 2002 these objects have occurred in many places in both mathematics and mathematical physics\, notably in the string theory of bla ck holes and in the so-called “Mathieu” and “umbral” moonshine\, a nd they also occur in connection with quantum invariants of knots and 3-di mensional manifolds. These two talks\, which assume no prerequisites\, wil l give an introduction to the suject and some of its applications.\n\n//in dico.ictp.it/event/8814/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8814/ END:VEVENT BEGIN:VEVENT SUMMARY:Mock modular forms II DTSTART;VALUE=DATE-TIME:20181212T100000Z DTEND;VALUE=DATE-TIME:20181212T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8815@ictp.it DESCRIPTION:\n The theory of mock modular forms is fairly new\, having bee n initiated formally only in 2002\, but is motivated by the 17 ”mock the ta functions” that Ramanujan described in a letter to Hardy much earlier \, in 1920. Since 2002 these objects have occurred in many places in both mathematics and mathematical physics\, notably in the string theory of bla ck holes and in the so-called ”Mathieu” and ”umbral” moonshine\, a nd they also occur in connection with quantum invariants of knots and 3-di mensional manifolds. These talks\, which assume no prerequisites\, will gi ve an introduction to the subject and some of the applications.\n\n//indic o.ictp.it/event/8815/ LOCATION:ICTP Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/8815/ END:VEVENT BEGIN:VEVENT SUMMARY:Tropical and log geometric techniques for open invariants in mirro r symmetry DTSTART;VALUE=DATE-TIME:20181214T133000Z DTEND;VALUE=DATE-TIME:20181214T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8819@ictp.it DESCRIPTION:\n Abstract: We will discuss an algebro-geometric approach to the symplectic cohomology ring\, in terms of tropical geometry and punctur ed log Gromov-Witten theory of Abramovich-Chen-Gross-Siebert. During this talk\, we will restrict ourselves to the Tate curve\, the total space of a degeneration of elliptic curves to a nodal elliptic curve. To understand the symplectic cohomology of the Tate curve (minus its central fiber)\, we will go through the Fukaya category of the elliptic curve and describe th is category using tropical Morse trees introduced by Abouzaid-Gross-Sieber t.\n\n//indico.ictp.it/event/8819/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8819/ END:VEVENT BEGIN:VEVENT SUMMARY:Maximal and Variational Fourier Restriction Theory DTSTART;VALUE=DATE-TIME:20181217T100000Z DTEND;VALUE=DATE-TIME:20181217T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8812@ictp.it DESCRIPTION:\n Müller\, Ricci\, and Wright recently established the first "maximal restriction theorem" for the Fourier transform. As a direct cons equence\, they clarified certain subtle measure theoretic aspects underlyi ng Fourier restriction theory. In the first part of this talk\, we will gi ve a brief introduction to the restriction problem\, and illustrate its im portance in modern analysis. We will then focus on the endpoint Tomas-Stei n inequality in 3-dimensional Euclidean space\, together with its maximal and variational variants\, for which especially simple proofs are availabl e. Finally\, we will describe a recent generalisation\, and present some o pen problems.\n This is partly based on joint work with Vjekoslav Kovac.\n \n//indico.ictp.it/event/8812/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8812/ END:VEVENT BEGIN:VEVENT SUMMARY:Some smooth applications of non-smooth Ricci curvature lower bound s DTSTART;VALUE=DATE-TIME:20190108T133000Z DTEND;VALUE=DATE-TIME:20190108T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8825@ictp.it DESCRIPTION:\n Abstract: After a brief introduction to the synthetic notio ns of Ricci curvature lower bounds in terms of optimal transportation\, du e to Lott-Sturm-Villani\, I will discuss some applications to smooth Riema nnian manifolds (joint work with Fabio Cavalletti\, SISSA).\n These includ e: rigidity/stability of the Levy-Gromov inequality and an almost euclidea n isoperimetric inequality motivated by the celebrated Perelman’s Pseudo -Locality Theorem for Ricci flow.\n\n//indico.ictp.it/event/8825/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8825/ END:VEVENT BEGIN:VEVENT SUMMARY:On the paramodularity of typical abelian surfaces DTSTART;VALUE=DATE-TIME:20190110T133000Z DTEND;VALUE=DATE-TIME:20190110T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8828@ictp.it DESCRIPTION:\n Abstract: In this talk we will prove that some abelian surf aces are modular\, in the sense that there is a paramodular form whose L-s eries matches that of the abelian surface. During the talk we will recall the relation between automorphic representations and algebraic varieties ( with special emphasis in the case of abelian surfaces)\, and will describe in detail the Faltings-Serre method (and its relation with deformation th eory). The talk will be self contained\, and only some knowledge on Galois theory will be assumed.\n\n//indico.ictp.it/event/8828/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8828/ END:VEVENT BEGIN:VEVENT SUMMARY:Kahler Meeting: Notions of stability for cscK metrics DTSTART;VALUE=DATE-TIME:20190114T133000Z DTEND;VALUE=DATE-TIME:20190114T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8846@ictp.it DESCRIPTION://indico.ictp.it/event/8846/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8846/ END:VEVENT BEGIN:VEVENT SUMMARY:A coupled bulk-surface reaction-diffusion system DTSTART;VALUE=DATE-TIME:20190115T133000Z DTEND;VALUE=DATE-TIME:20190115T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8832@ictp.it DESCRIPTION:\n Abstract: In this talk I will address a coupled bulk-surfac e reaction-diffusion system set in a moving domain\, which is a model for the process of chemo-taxis in cells. I will explain how to derive the prob lem and the mathematical formulation we used in order to prove existence a nd regularity results. An outline of such proofs will be presented\, focus ing on the key steps and avoiding technical details.This is a joint work w ith A. Alphonse and C. Elliott.\n\n//indico.ictp.it/event/8832/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8832/ END:VEVENT BEGIN:VEVENT SUMMARY:On some generalizations of the category of Soergel bimodules DTSTART;VALUE=DATE-TIME:20190117T133000Z DTEND;VALUE=DATE-TIME:20190117T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8820@ictp.it DESCRIPTION:\n Abstract: The category of Soergel bimodules plays an essent ial role in (higher) representation theory and for the construction of hom ological invariants in knot theory. The aim of this talk is to present a g eneralization of Soergel category attached to a Coxeter group of type A_2. While Soergel category counts a generating bimodule per simple reflection \, this generalization is obtained by taking one generator per reflection. I will give a complete description of this category through a classificat ion of its indecomposable objects and study its split Grothendieck ring. T his gives rise to an algebra which is a quotient of the corresponding affi ne Hecke algebra of type A_2\, that can be presented by generators and rel ations.This is joint work with Thomas Gobet.\n\n//indico.ictp.it/event/882 0/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8820/ END:VEVENT BEGIN:VEVENT SUMMARY: Hypergeometric Motives DTSTART;VALUE=DATE-TIME:20190122T150000Z DTEND;VALUE=DATE-TIME:20190122T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8835@ictp.it DESCRIPTION:\n Abstract: The families of motives of the title arise from c lassical one-variable hypergeometric functions. This talk will focus on th e calculation of their Hodge numbers. I will describe an alternative proof of a conjectural formula for them from that of Fedorov. The proof is base d on viewing the hypergeometric motive as the pure part of the cohomology of a hypersurface in a toric variety. The key fact is a description of the combinatorics of an associated polytope.\n\n//indico.ictp.it/event/8835/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8835/ END:VEVENT BEGIN:VEVENT SUMMARY:The L-functions and modular forms database project DTSTART;VALUE=DATE-TIME:20190123T150000Z DTEND;VALUE=DATE-TIME:20190123T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8836@ictp.it DESCRIPTION:\n Abstract: The simplest and most famous L-function is the Ri emann Zeta function. L-functions are ubiquitous in number theory\, and hav e applications to mathematical physics and cryptography. Two of the seven Clay Mathematics Million Dollar Millennium Problems deal with their proper ties: the Riemann Hypothesis and the Birch and Swinnerton-Dyer Conjecture. They arise from and encode information about a number of mathematical obj ects\, and also provide links between them: for example\, Wiles' celebrate d proof of Fermat's Last Theorem centred on proving that L-functions assoc iated with certain elliptic curves were also associated with other objects called modular forms.\n At least a dozen different mathematical objects a re connected in various ways to L-functions. The study of those objects is highly specialized\, and most mathematicians have only a vague idea of th e objects outside their specialty and how everything is related. Helping m athematicians to understand these connections was the motivation for the L -functions and Modular Forms Database (LMFDB) project\, which started at A IM in 2007 and has been supported by major grants from the NSF\, the UK EP SRC and the Simons Foundation. Its mission is to chart the landscape of L- functions and modular forms in a systematic and concrete fashion. This inv olves developing their theory\, creating and improving algorithms for comp uting and classifying them\, and hence discovering new properties of these functions\, and testing fundamental conjectures.\n In the lecture I will explain and demonstrate how we organise our large collection of data and d isplay it\, together with the interrelations between linked objects\, thro ugh our website [www.lmfdb.org]. I will also show how this has been built via a world-wide collaborative open source project which we hope to be a m odel for others.\n\n//indico.ictp.it/event/8836/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8836/ END:VEVENT BEGIN:VEVENT SUMMARY:Moduli of hypersurfaces in weighted projective space DTSTART;VALUE=DATE-TIME:20190124T133000Z DTEND;VALUE=DATE-TIME:20190124T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8837@ictp.it DESCRIPTION:\n Abstract: The moduli space of smooth hypersurfaces in proje ctive space was constructed by Mumford in the 60’s using his newly devel oped classical (a.k.a. reductive) Geometric Invariant Theory. I wish to ge neralise this construction to hypersurfaces in weighted projective space ( or more generally orbifold toric varieties). The automorphism group of a t oric variety is in general non-reductive and I will use new results in non -reductive GIT\, developed by F. Kirwan et al.\, to construct a moduli spa ce of quasismooth hypersurfaces. I will give geometric characterisations o f notions of stability arising from non-reductive GIT.\n\n//indico.ictp.it /event/8837/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8837/ END:VEVENT BEGIN:VEVENT SUMMARY:Kahler Meeting: Examples of extremal metrics DTSTART;VALUE=DATE-TIME:20190128T133000Z DTEND;VALUE=DATE-TIME:20190128T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8849@ictp.it DESCRIPTION://indico.ictp.it/event/8849/ LOCATION:ICTP Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/8849/ END:VEVENT BEGIN:VEVENT SUMMARY:Finiteness questions for Galois representations DTSTART;VALUE=DATE-TIME:20190129T133000Z DTEND;VALUE=DATE-TIME:20190129T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8845@ictp.it DESCRIPTION:\n Abstract: Let p be a prime number. Due to classical work of Shimura and Deligne\, to any "newform" (a modular form that is an eigenfu nction for the Hecke operators and assumed of level one in the talk) one a ttaches a p-adic Galois representation. Since there are infinitely many ne wforms\, there are infinitely many attached p-adic Galois representations. However\, if one reduces them modulo p\, there are only finitely many (up to isomorphism). It is tempting to ask what happens "in between"\, i.e. w hether there is still finiteness modulo fixed prime powers. In the talk\, I will motivate and explain a conjecture made with Ian Kiming and Nadim Ru stom and explain partial results\, including a relation to a strong questi on by Kevin Buzzard.The talk is based on joint work with Ian Kiming and Na dim Rustom. \n\n//indico.ictp.it/event/8845/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8845/ END:VEVENT BEGIN:VEVENT SUMMARY:Maximal function on Lorentz spaces with weights: new results\, and open problems DTSTART;VALUE=DATE-TIME:20190130T133000Z DTEND;VALUE=DATE-TIME:20190130T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8866@ictp.it DESCRIPTION:\n Abstract: The Hardy-Littlewood maximal function is a basic operator in Analysis. We propose to discuss some of the reasons why this o perator plays a central role in the area. Then we will concentrate on some of the classical results making special emphasis in the behavior of this operator in the context of Lp spaces with weights. Then we will explain so me more recent results focusing in the context of Lorentz spaces which are very useful extensions of the Lebesgue spaces. We have obtained some new results for these spaces but we don't know if they are optimal. In the las t part of the lecture we will discuss a very interesting variant of the Ha rdy-Littlewood maximal function which is more singular called the strong m aximal function. We will discuss briefly some classical results and we wil l mention some recent results which\, again\, we don't know if the are opt imal.\n\n//indico.ictp.it/event/8866/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8866/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometric means of positive definite matrices DTSTART;VALUE=DATE-TIME:20190131T133000Z DTEND;VALUE=DATE-TIME:20190131T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8848@ictp.it DESCRIPTION:\n Abstract: In this talk\, first of all we will recall some i deas that led to the definition of the geometric mean of two positive defi nite matrices. Then\, we will see how this geometric mean is related with the complex interpolation method\, with the Riemannian structure of the co ne of positive definite matrices\, and finally\, with recent results about barycenters in metric spaces with negative curvature.\n\n//indico.ictp.it /event/8848/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8848/ END:VEVENT BEGIN:VEVENT SUMMARY:Incorporating Satake\, Mckay and Langlands into DAHA DTSTART;VALUE=DATE-TIME:20190205T150000Z DTEND;VALUE=DATE-TIME:20190205T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8867@ictp.it DESCRIPTION:\n Abstract: I will talk about the category of line operators of 4d N=2* theory. Using the formulation of Kapustin-Witten\, it can be id entified the category of B-branes of Hitchin moduli space over once-punctu red torus with respect to a certain complex structure. I also explain the relations to geometric Satake\, Mackay and Langlands correspondence.\n\n// indico.ictp.it/event/8867/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8867/ END:VEVENT BEGIN:VEVENT SUMMARY:Kahler Meeting: Variants of the cscK equation DTSTART;VALUE=DATE-TIME:20190211T133000Z DTEND;VALUE=DATE-TIME:20190211T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8855@ictp.it DESCRIPTION://indico.ictp.it/event/8855/ LOCATION:ICTP Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/8855/ END:VEVENT BEGIN:VEVENT SUMMARY:Saturated special fiber ring and rational maps DTSTART;VALUE=DATE-TIME:20190212T133000Z DTEND;VALUE=DATE-TIME:20190212T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8870@ictp.it DESCRIPTION:\n Abstract: The idea of studying rational maps by looking at the syzygies of the base ideal is a relatively new idea that has now becom e an important research topic. In this talk\, we will discuss some recent results that lead to birationality criteria and formulas for the degree of rational maps that depend on the algebraic properties of the syzygies of the base ideal. Mainly\, we will introduce a new algebra called "saturated special fiber ring" and we will discuss its relations with the degree and birationality of rational maps between irreducible projective varieties. Time permitting\, we will also discuss some results in the problem of spec ializing the coefficients of a rational map. This talk is based on joint w orks with Laurent Busé and Carlos D’Andrea and with Aron Simis.\n\n//in dico.ictp.it/event/8870/ LOCATION:ICTP Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/8870/ END:VEVENT BEGIN:VEVENT SUMMARY:Rigidity of 2-step Carnot groups DTSTART;VALUE=DATE-TIME:20190213T133000Z DTEND;VALUE=DATE-TIME:20190213T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8871@ictp.it DESCRIPTION:\n Abstract: The problem of understanding the global symmetrie s of non-holonomic mechanical systems is quite difficult. One possible app roach to tackle the problem from an algebraic point of view was proposed b y N. Tanaka in the 70s\, through the process known as (Tanaka) prolongatio n. The output of the prolongation is a graded Lie algebra\, whose dimensio n is an upper bound for the dimension of the space of symmetries. A system is called rigid if its prolongation is finite dimensional. In this talk\, I will show the generic rigidity of a wide class of non-holonomic systems of step 2 (so-called Carnot groups). This result was obtained in joint wo rk with B. Kruglivok (Tromsø)\, I. Markina and A. Vasil'ev (Bergen).\n\n/ /indico.ictp.it/event/8871/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8871/ END:VEVENT BEGIN:VEVENT SUMMARY:On robustly transitive endomorphisms on surfaces DTSTART;VALUE=DATE-TIME:20190214T133000Z DTEND;VALUE=DATE-TIME:20190214T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8882@ictp.it DESCRIPTION:\n Abstract: One of the main issues in dynamics is to study ro bust phenomena (phenomena that are shared by all nearby systems). In this talk\, we will be interested in robust transitivity\, which means that the existence of dense orbits is shared by all nearby systems\; we will discu ss the necessary conditions for the existence of robust transitivity on su rfaces.\n\n//indico.ictp.it/event/8882/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8882/ END:VEVENT BEGIN:VEVENT SUMMARY:Bridgeland Stability Conditions on the Category of Holomorphic Tri ples DTSTART;VALUE=DATE-TIME:20190215T133000Z DTEND;VALUE=DATE-TIME:20190215T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8878@ictp.it DESCRIPTION://indico.ictp.it/event/8878/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8878/ END:VEVENT BEGIN:VEVENT SUMMARY:Quantum\, Mock and False in 3d Theories DTSTART;VALUE=DATE-TIME:20190219T150000Z DTEND;VALUE=DATE-TIME:20190219T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8887@ictp.it DESCRIPTION:\n Abstract: Since the 1980s\, the study of invariants of 3-di mensional manifolds has benefited from the connections between topology\, physics and number theory. Motivated by the recent introduction of a new h omological invariant (the half-index of 3d N=2 theories)\, in this talk I will describe the role of mock modular forms\, false theta functions and q uantum modular forms in the study of 3-manifolds.\n\n//indico.ictp.it/even t/8887/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8887/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR (Claudio Arezzo) DTSTART;VALUE=DATE-TIME:20190220T150000Z DTEND;VALUE=DATE-TIME:20190220T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8872@ictp.it DESCRIPTION://indico.ictp.it/event/8872/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8872/ END:VEVENT BEGIN:VEVENT SUMMARY:Virtual topological invariants of moduli spaces of sheaves on surf aces DTSTART;VALUE=DATE-TIME:20190226T133000Z DTEND;VALUE=DATE-TIME:20190226T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8895@ictp.it DESCRIPTION:\n Using arguments from theoretical physics\, Vafa and Witten gave a generating function for the Euler numbers of moduli spaces of rank 2 coherent sheaves on algebraic surfaces.\n These moduli spaces are in gen eral very singular\, but they carry a perfect obstruction theory (they are virtually smooth). This gives virtual versions of many invariants of smoo th projective varieties. Such virtual invariants occur everywhere in moder n enumerative geometry\, like Gromov-Witten invariants and Donaldson Thoma s invariants\, when attempting to make sense of the predictions from physi cs. We conjecture that the Vafa-Witten formula is true for the virtual Eul er numbers. We confirm this conjecture in many examples. Then we give refi nements of the conjecture.\n Our approach is based on Mochizuki's formula which reduces virtual intersection numbers on moduli spaces of sheaves to intersection numbers on Hilbert schemes of points.\n\n//indico.ictp.it/eve nt/8895/ LOCATION:ICTP IGAP (the old SISSA building) URL://indico.ictp.it/event/8895/ END:VEVENT BEGIN:VEVENT SUMMARY:Curves on K3 surfaces DTSTART;VALUE=DATE-TIME:20190227T133000Z DTEND;VALUE=DATE-TIME:20190227T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8884@ictp.it DESCRIPTION:\n Abstract: I will briefly explain the notion of Bridgeland s tability conditions on K3 surfaces. Then I will show some of its recent ap plications in classical algebraic geometry\, including a new upper bound f or the number of global sections of sheaves on K3 surfaces and computing h igher rank Clifford indices of curves on K3 surfaces.\n\n//indico.ictp.it/ event/8884/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8884/ END:VEVENT BEGIN:VEVENT SUMMARY:Virtual topological invariants of moduli spaces of sheaves on surf aces II DTSTART;VALUE=DATE-TIME:20190312T133000Z DTEND;VALUE=DATE-TIME:20190312T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8896@ictp.it DESCRIPTION:\n Using arguments from theoretical physics\, Vafa and Witten gave a generating function for the Euler numbers of moduli spaces of rank 2 coherent sheaves on algebraic surfaces.\n These moduli spaces are in gen eral very singular\, but they carry a perfect obstruction theory (they are virtually smooth). This gives virtual versions of many invariants of smoo th projective varieties. Such virtual invariants occur everywhere in moder n enumerative geometry\, like Gromov-Witten invariants and Donaldson Thoma s invariants\, when attempting to make sense of the predictions from physi cs. We conjecture that the Vafa-Witten formula is true for the virtual Eul er numbers. We confirm this conjecture in many examples. Then we give refi nements of the conjecture.\n Our approach is based on Mochizuki's formula which reduces virtual intersection numbers on moduli spaces of sheaves to intersection numbers on Hilbert schemes of points.\n\n//indico.ictp.it/eve nt/8896/ LOCATION:ICTP IGAP (the old SISSA building) URL://indico.ictp.it/event/8896/ END:VEVENT BEGIN:VEVENT SUMMARY:On Ruan's Cohomological Crepant Resolution Conjecture for the Comp lexified Bianchi orbifolds DTSTART;VALUE=DATE-TIME:20190326T150000Z DTEND;VALUE=DATE-TIME:20190326T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8908@ictp.it DESCRIPTION:Please see attached Abstract.\n\n//indico.ictp.it/event/8908/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8908/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR: A survey of volume inequalities DTSTART;VALUE=DATE-TIME:20190401T140000Z DTEND;VALUE=DATE-TIME:20190401T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8873@ictp.it DESCRIPTION://indico.ictp.it/event/8873/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8873/ END:VEVENT BEGIN:VEVENT SUMMARY:p-adic integration and geometric invariants DTSTART;VALUE=DATE-TIME:20190416T140000Z DTEND;VALUE=DATE-TIME:20190416T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8919@ictp.it DESCRIPTION:\n Abstract: In this talk I will briefly discuss how p-adic in tegration techniques are useful to extract information about the cohomolog y of complex varieties. In regular cases the problem is reduced to compute the number of points over finite fields\, but they also work in singular cases or when explicit counting formulas were not found.\n\n//indico.ictp. it/event/8919/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8919/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Afternoon DTSTART;VALUE=DATE-TIME:20190417T120000Z DTEND;VALUE=DATE-TIME:20190417T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8918@ictp.it DESCRIPTION:14:00 - 15:00 Peyman EslamiInducing schemes for multi-dimensio nal expanding maps with discontinuities\n I will discuss how to obtain You ng towers with exponential tails for multi-dimensional piecewise uniformly expanding maps of R^N.\n\n15:00 - 15:30 break\n15:30 - 16:30 Oliver Butte rleyParabolic Flows Renormalised by Partially Hyperbolic Maps\n \n We will discuss 3-dimensional parabolic flows which are renormalised by circle ex tensions of Anosov diffeormorphisms (this includes nilflows on the Heisenb erg nilmanifold). We use the spectral information of the transfer operator s associated to these partially hyperbolic maps to describe the deviation of ergodic averages and solutions of the cohomological equation for the pa rabolic flow.\n\n16:30 - 17:30 Khadim WarDynamics of the geodesic flows on certain manifolds without conjugate points \n \n We prove the uniqueness of the measure of maximal entropy (MME) for the geodesic flows on surfaces without conjugate points. We also prove that this unique MME is fully sup ported\, can be obtained from limiting distrobution along closed orbits an d the flow is mixing with respect to it. As a consequence we have that the closed orbits are dense in the unit tangent bundle. We also formulate con ditions under which these results generalise to higher dimension.\n  \n\n Everyone is welcome to attend \n\n//indico.ictp.it/event/8918/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8918/ END:VEVENT BEGIN:VEVENT SUMMARY:Mathematics Seminar Afternoon DTSTART;VALUE=DATE-TIME:20190418T123000Z DTEND;VALUE=DATE-TIME:20190418T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8927@ictp.it DESCRIPTION:14:30 - 15:30 Roman O. Popovych (Faculty of Mathematics\, Univ ersity of Vienna\, Austria & Institute of Mathematics\, NAS of Ukraine\, K yiv\, Ukraine)Computation of contractions of Lie algebras\n Abstract: Limi ting processes (contractions) of Lie algebras appear in different areas of physics and mathematics\, where Lie algebras arise\, e.g.\, in the study of representations\, invariants and special functions. The algebraic count erpart of the notion of contractions of Lie algebras is given by degenerat ions of Lie algebras.\n The main attention in the talk is paid to the prac tical computation of contractions of Lie algebras. We present a wide list of necessary conditions for the contraction existence. Particular ways for realizing contractions\, which are relevant to physics and includes simpl e and generalized Inönü–Wigner contractions and Saletan (linear) contr actions\, are discussed and the limitation for using them is clarified. We also plan to present the complete description of contractions of Lie alge bras of dimension not greater than four\, of five- and six-dimensional nil potent algebras and of almost Abelian Lie algebras over both the complex a nd real field.\n 15:30 - 16:00 break\n 16:00 - 17:00 Célestin Kurujyibwam i (University of Rwanda\, Kigali\, Rwanda)Group classification of multidim ensional nonlinear Schrödinger equations\n  Abstract: We describe the eq uivalence groupoid and the equivalence group of the class N of generalized multidimensional Schrödinger equations with variable mass and show that this class is not normalized. We then partition this class into two disjoi nt normalized subclasses and derive their corresponding equivalence groups . Restricting to the case of constant mass equal to one\, we characterize the point transformations of the subclasses of the class N with respect to specific values of the arbitrary elements\, in particular we do this for the class V of multidimensional nonlinear Schrödinger equations with pote ntials and modular nonlinearities. This class also turns out not to be nor malized. We partition it into three normalized subclasses\, and this allow s us to apply the algebraic method and solve each subclass completely for space dimension two. The group classification in each involves three integ ers that are invariant with respect to the adjoint action of the equivalen ce transformations. As a result\, a full list of Lie symmetry extensions t ogether with their corresponding families of potentials in the class V is presented.\n  \n\n Everyone is welcome to attend\n\n//indico.ictp.it/even t/8927/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8927/ END:VEVENT BEGIN:VEVENT SUMMARY:Five-term relations DTSTART;VALUE=DATE-TIME:20190423T140000Z DTEND;VALUE=DATE-TIME:20190423T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8920@ictp.it DESCRIPTION:\n Abstract: I will review how the five term relation for the Fadeev-Kashaev's quantum dilogarithm arises in the Hall algebra context\, and sketch a simple proof. Then I will explain how this proof can be trans ported to the elliptic Hall algebra situation\, where the five term relati on implies identities between Macdonald polynomials conjectured by Bergero n and Haiman. This is a joint work with Adriano Garsia.\n\n//indico.ictp.i t/event/8920/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8920/ END:VEVENT BEGIN:VEVENT SUMMARY:Refinement of Kool-Thomas invariants via Equivariant K-theoretic i nvariants DTSTART;VALUE=DATE-TIME:20190424T123000Z DTEND;VALUE=DATE-TIME:20190424T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8926@ictp.it DESCRIPTION:Abstract: Please see attached.\n\n//indico.ictp.it/event/8926/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8926/ END:VEVENT BEGIN:VEVENT SUMMARY:Kahler Meetings on extremal and cscK metrics on blowups (Part 1) DTSTART;VALUE=DATE-TIME:20190429T123000Z DTEND;VALUE=DATE-TIME:20190429T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8938@ictp.it DESCRIPTION://indico.ictp.it/event/8938/ LOCATION:Old SISSA Building IGAP URL://indico.ictp.it/event/8938/ END:VEVENT BEGIN:VEVENT SUMMARY:Quantized pseudo-fixed-point subalgebras and the reflection equati on DTSTART;VALUE=DATE-TIME:20190502T140000Z DTEND;VALUE=DATE-TIME:20190502T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8921@ictp.it DESCRIPTION://indico.ictp.it/event/8921/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8921/ END:VEVENT BEGIN:VEVENT SUMMARY:Topology change and selection rules for $Spin(1\, n)_0$-Lorentzian cobordisms DTSTART;VALUE=DATE-TIME:20190507T140000Z DTEND;VALUE=DATE-TIME:20190507T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8924@ictp.it DESCRIPTION://indico.ictp.it/event/8924/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8924/ END:VEVENT BEGIN:VEVENT SUMMARY:The higher intrinsic normal cone DTSTART;VALUE=DATE-TIME:20190508T123000Z DTEND;VALUE=DATE-TIME:20190508T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8939@ictp.it DESCRIPTION:\n Abstract: Building on the work of Behrend and Fantechi who constructed virtual fundamental classes for Deligne-Mumford stacks we cons truct virtual classes for Artin stacks. Our methods make heavy use of Luri e’s ∞-mathematics and in some sense the main goal of the talk is to ex plain how Lurie’s technology offers conceptual clarifications and that o ne can in fact deduce concrete results from it.Joint with Piotr Pstragowsk i.\n\n//indico.ictp.it/event/8939/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8939/ END:VEVENT BEGIN:VEVENT SUMMARY:A vector bundle version of the Monge-Ampere equation DTSTART;VALUE=DATE-TIME:20190510T133000Z DTEND;VALUE=DATE-TIME:20190510T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8946@ictp.it DESCRIPTION:\n Abstract: Motivated by mirror symmetry considerations (the deformed Hermitian-Yang-Mills equation due to Jacob-Yau) and a desire to s tudy stability conditions involving higher Chern forms\, a vector bundle v ersion of the usual complex Monge-Ampere equation (studied by Calabi\, Yau \, Aubin\, etc) will be discussed. I shall also discuss a Kobayashi-Hitchi n type correspondence for a special case (a dimensional reduction to Riema nn surfaces).\n\n//indico.ictp.it/event/8946/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8946/ END:VEVENT BEGIN:VEVENT SUMMARY:On the distribution of Hecke eigenvalues for Hilbert modular forms DTSTART;VALUE=DATE-TIME:20190514T140000Z DTEND;VALUE=DATE-TIME:20190514T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8925@ictp.it DESCRIPTION://indico.ictp.it/event/8925/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8925/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR: Fractal Dimensions in Nature and Mathematic s DTSTART;VALUE=DATE-TIME:20190522T123000Z DTEND;VALUE=DATE-TIME:20190522T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8943@ictp.it DESCRIPTION:\n Abstract: The notion of a one-dimensional\, a two-dimension al\, or a three-dimensional geometric object is fairly intuitive. A natura l way to think of dimensions makes it relatively easy to define\, though n ot necessarily easy to visualise\, geometric objects also in four or five dimensions or indeed in n dimension for any positive integer n. It is howe ver much harder to make sense of the notion of a geometric object with a n on-integer (fractal) dimension\, such as 1.5 for example\, and to imagine what such an object might look like. In this introductory talk I will give an elementary alternative definition of the dimension of a geometric obje ct and show how this definition extends easily to fractal dimensions. I wi ll also give some simple examples of geometric objects with fractal dimens ions. I will discuss the way in which the geometry of many (in fact\, most ) objects in nature can arguably be modelled by geometric shapes with frac tal dimension rather than the regular shapes familiar in classical Euclide an geometry. Finally\, I will describe how objects with fractal dimensions occur naturally in certain areas of mathematics such as Dynamical Systems .\n\n//indico.ictp.it/event/8943/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/8943/ END:VEVENT BEGIN:VEVENT SUMMARY:On an algebraic Sato-Tate conjecture for abelian varieties DTSTART;VALUE=DATE-TIME:20190527T123000Z DTEND;VALUE=DATE-TIME:20190527T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8941@ictp.it DESCRIPTION:\n Abstract: The Sato-Tate conjecture\, originally stated for elliptic curves without complex multiplication\, predicts the equidistribu tion of the normalized Frobenius traces with respect to the Sato-Tate meas ure\, given by the pushforward of the Haar measure on SU(2). We would like to work on an analogous question for abelian varieties of dimension g > 1 \; the generalized Sato-Tate conjecture\, introduced by Serre\, which pred icts the equidistribution on a certain compact Lie group: the Sato-Tate gr oup. In 1966\, Serre presented remarkable links between the Mumford-Tate g roup and the Sato-Tate group. Thus\, the algebraic Sato-Tate group appears as an intermediate group between the Mumford-Tate group and the Sato-Tate group. Indeed\, if the algebraic Sato-Tate conjecture holds for some part icular abelian variety A of dimension g > 1\, we can obtain the Sato-Tate group and try to deduce some new instances of the generalized Sato-Tate co njecture. The main goal of this talk is to present new results in the dire ction of the algebraic Sato-Tate conjecture\, building on the previous wor k of Serre\, Kedlaya and Banaszak.\n\n//indico.ictp.it/event/8941/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8941/ END:VEVENT BEGIN:VEVENT SUMMARY:Brane Quantization and Representations of DAHA DTSTART;VALUE=DATE-TIME:20190528T123000Z DTEND;VALUE=DATE-TIME:20190528T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8958@ictp.it DESCRIPTION:\n Abstract: Double affine Hecke algebra (DAHA) is closely rel ated to the algebra of line operators in 4d N=2* theory. In this talk\, I will show how to use the A-model to the Coulomb branch of this theory to g ain insight into the representation category of DAHA.\nPLEASE NOTE: Those wishing to attend can meet at the ICTP's bar 5 minutes before to enter wit h those who have an access card. \n\n//indico.ictp.it/event/8958/ LOCATION:IGAP Seminar room (old Sissa Building) URL://indico.ictp.it/event/8958/ END:VEVENT BEGIN:VEVENT SUMMARY:Twist Knot Invariants and Volume Conjecture DTSTART;VALUE=DATE-TIME:20190530T140000Z DTEND;VALUE=DATE-TIME:20190530T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8961@ictp.it DESCRIPTION:\n In this talk\, I will briefly review knot invariants from C hern-Simons\n theory. Then discuss twist knot invariants\, super-A-polynom ials and\n generalised volume conjecture.\n\n//indico.ictp.it/event/8961/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8961/ END:VEVENT BEGIN:VEVENT SUMMARY:Mathematics Talks DTSTART;VALUE=DATE-TIME:20190604T120000Z DTEND;VALUE=DATE-TIME:20190604T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8967@ictp.it DESCRIPTION:14:00 - 14:30 - Kyong Hui Kim (Kim Il Sung University)Option p ricing in a generalized jump mixed fractional Brownian motion\n Abstract: I will present a new framework for pricing the European currency option in the case where the spot exchange rate follows a generalized mixed fractio nal Brownian motion with jumps (hereafter GJMFBM). To capture the behavior s of exchange rate\, the combination of Poisson jumps and generalized mixe d fractional Brownian motion is introduced. To derive the pricing formula for some options\, we firstly derive a generalized mixed fractional Girsan ov theorem and some results regarding the quasi-conditional expectation th at we will need for the rest of the paper. Then analytic pricing formulas for European currency option and exchange option are obtained using the eq uivalent martingale measure. Finally\, through some numerical experiments and discussion we show that the GJMFBM model is different with the other p revious ones.\n\n14:30 - 14:45 - Un Gyong Ri (Kim Il Sung University)Prese ntation of Kim Il Sung University\, Pyongyang\, DPR Korea\, and its educat ional programs in Mathematics\n\n//indico.ictp.it/event/8967/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8967/ END:VEVENT BEGIN:VEVENT SUMMARY:Knots\, q-series and modular forms DTSTART;VALUE=DATE-TIME:20190611T140000Z DTEND;VALUE=DATE-TIME:20190611T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8976@ictp.it DESCRIPTION://indico.ictp.it/event/8976/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8976/ END:VEVENT BEGIN:VEVENT SUMMARY:The distribution of the zeros of the Riemann zeta-function DTSTART;VALUE=DATE-TIME:20190612T123000Z DTEND;VALUE=DATE-TIME:20190612T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8973@ictp.it DESCRIPTION:\n Abstract: It has long been known that the distribution of t he prime numbers is intimately connected to the distribution of the zeros of the Riemann zeta-function. Much information can be obtained from the ho rizontal distribution of zeros\, but finer information about primes seems to be connected to the vertical distribution of zeros. By studying the pai r correlation of the normalized spacing between the zeros\, Montgomery was lead to the conjecture that the statistics of vertical spacings should fo llow the GUE distribution from random matrix theory. I will survey some of the methods used to prove the existence of large and small gaps between z eros of the zeta function\, highlighting the state-of-the-art and the limi tations. I will also discuss some recent joint work (with Hung Bui and Dan Goldston) were we prove the existence of small gaps between distinct zero s of the zeta function\, a result that previous methods seem incapable of establishing.\n\n//indico.ictp.it/event/8973/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8973/ END:VEVENT BEGIN:VEVENT SUMMARY:The variation of maximal functions on Euclidean spaces and spheres DTSTART;VALUE=DATE-TIME:20190618T140000Z DTEND;VALUE=DATE-TIME:20190618T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8975@ictp.it DESCRIPTION:\n Abstract: Maximal operators are central objects of study in harmonic analysis. The most classical example is the Hardy-Littlewood max imal operator (in both its centered and uncentered form) but there are als o other interesting ones\, for instance the ones associated to a convoluti on with a smooth kernel. In this introductory talk we will introduce the s ub-area of harmonic analysis that studies how the variation of a maximal f unction behaves with respect to the initial data. We will discuss the clas sical results in this topic (most of them dealing with the one dimensional case) and later we will talk about some recent results that deal with the higher dimensional case when restricted to radial data. Also we will show some analogues of these problems when the domain of the functions are non -trivial manifolds\, in particular a recent result on the d-sphere.\n\n//i ndico.ictp.it/event/8975/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8975/ END:VEVENT BEGIN:VEVENT SUMMARY:Soap films and capillarity DTSTART;VALUE=DATE-TIME:20190620T140000Z DTEND;VALUE=DATE-TIME:20190620T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8970@ictp.it DESCRIPTION:\n Abstract: We introduce a length scale in the classical mode ling of soap films as minimal surfaces by recovering Plateau’s problem a s a singular limit of capillarity problems. The analysis of this approxima tion leads to some insights on soap films that are not accessible when wor king with minimal surfaces. This talk is based on joint works with Darren King (UT Austin)\, Antonello Scardicchio (ICTP) and Salvatore Stuvard (UT Austin).\n\n//indico.ictp.it/event/8970/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8970/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometry and Physics seminar @ IGAP: Nested instantons and punctua l nested Hilbert schemes DTSTART;VALUE=DATE-TIME:20190628T080000Z DTEND;VALUE=DATE-TIME:20190628T090000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8997@ictp.it DESCRIPTION:\n Abstract: Nested Hilbert schemes of points and curves on sm ooth projective surfaces carry interesting quantities for both geometry an d physics. Their virtual fundamental classes have been shown to recover bo th the virtual classes of SW and reduced stable pair theories\, while thei r obstruction theories can be used to obtain information about VW and redu ced DT invariants. We show that the effective SUSY theory of a certain sur face defect gives rise to a quiver GLSM which\, in a particular case\, mod els punctual nested Hilbert schemes on the complex plane. We will show how the partition function of such a theory naturally computes certain virtua l invariants of these moduli spaces and how these results relate to a conj ecture of Hausel\, Letellier and Rodriguez-Villegas about the cohomology o f character varieties.\n\n//indico.ictp.it/event/8997/ LOCATION:Former SISSA Building IGAP Seminar Room URL://indico.ictp.it/event/8997/ END:VEVENT BEGIN:VEVENT SUMMARY:Singular Brascamp-Lieb inequalities DTSTART;VALUE=DATE-TIME:20190702T140000Z DTEND;VALUE=DATE-TIME:20190702T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8995@ictp.it DESCRIPTION:\n Abstract: Brascamp-Lieb inequalities are estimates for cert ain multilinear forms on functions on Euclidean spaces. They generalize se veral classical inequalities\, such as Holder's inequality or Young's conv olution inequality. In this talk we consider singular Brascamp-Lieb inequa lities\, which arise when one of the functions in the Brascamp-Lieb inequa lity is replaced by a singular integral kernel. We survey some results in the area. Based on joint works with Christoph Thiele.\n\n//indico.ictp.it/ event/8995/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8995/ END:VEVENT BEGIN:VEVENT SUMMARY:Concentration inequalities for bandlimited functions DTSTART;VALUE=DATE-TIME:20190704T140000Z DTEND;VALUE=DATE-TIME:20190704T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8974@ictp.it DESCRIPTION:\n Abstract: In this talk the following problem is considered: How much of an integral norm of a function with compactly supported Fouri er transform can be concentrated on a sparse subset of the real line? The inequalities that form an answer to this question turn out to be the main building blocks for applications from signal processing and analytic numbe r theory. I will describe some of the applications and will outline existi ng strategies (building on work of Selberg and of Donoho and Logan) to pro ve these inequalities.\n\n//indico.ictp.it/event/8974/ LOCATION:ICTP Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/8974/ END:VEVENT BEGIN:VEVENT SUMMARY:A new definition of fractional derivative with some applications t o fractional differential equations DTSTART;VALUE=DATE-TIME:20190705T140000Z DTEND;VALUE=DATE-TIME:20190705T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9002@ictp.it DESCRIPTION:Abstract: \n We give a new definition of fractional derivative and fractional integral. The form of the definition shows that it is the most natural definition\, and the most fruitful one. The definition for 0 < \\alpha < 1 coincides with the classical definitions on polynomials (up to a constant).\n Further\, if \\alpha = 1\, the definition coincides with the classical definition of first derivative. We give some applications t o fractional differential equations.\n\n//indico.ictp.it/event/9002/ LOCATION: Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9002/ END:VEVENT BEGIN:VEVENT SUMMARY:The story of alternating sign matrices…so far DTSTART;VALUE=DATE-TIME:20190709T140000Z DTEND;VALUE=DATE-TIME:20190709T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8998@ictp.it DESCRIPTION:Abstract: The sequence of numbers 1\,2\,7\,42\, 429\, ... (htt p://oeis.org/A005130) counts several remarkable combinatorial objects\, on e of which is alternating sign matrices (ASMs). These matrices have become an object of fervent study by combinatorialists because of the inherent s implicity and beauty of enumerative results related to them which are noto riously difficult to prove. I will give a brief history of how these objec ts were introduced and eventually enumerated\, which will already lead to connections with other areas (most notably lattice models in statistical p hysics). In the second part\, I will speak about recent joint work with Il se Fischer that gives several new refined enumeration results for symmetry classes of ASMs. The talk will be self-contained.\n\n//indico.ictp.it/eve nt/8998/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8998/ END:VEVENT BEGIN:VEVENT SUMMARY:Statistical (In)Stability in Chaotic Attractors DTSTART;VALUE=DATE-TIME:20190710T130000Z DTEND;VALUE=DATE-TIME:20190710T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9004@ictp.it DESCRIPTION:\n We will describe some classical results in ergodic theory m otivating the concepts of physical measures and statistical stability for dynamical systems. We will discuss the existence of physical measures for certain families of dynamical systems including the well-known families of geometric and contracting Lorenz flows and the corresponding one dimensio nal maps. As an ultimate goal of this talk\, we will present the results c oncluding statistical stability and instability for geometric and contract ing Lorenz flows\, respectively.\n\n//indico.ictp.it/event/9004/ LOCATION: Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9004/ END:VEVENT BEGIN:VEVENT SUMMARY:Singular two dimensional area minimizing surfaces DTSTART;VALUE=DATE-TIME:20190711T140000Z DTEND;VALUE=DATE-TIME:20190711T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-8994@ictp.it DESCRIPTION:\n Abstract: One of the oldest problem in geometric analysis a nd in the calculus of variations consists in finding a surface of leat are a surface spannend by a given smooth curve $\\gamma$. The approach of Doug las and Rad ensures\, for each prescribed genus\, the existence of a surfa ce minimizing the area among all the ones with smaller genus. On the other hand\, after the seminal work of Federer and Fleming\, it is always possi ble to find a mass minimizing current spanned by $\\gamma$. When the Feder er fleming solution is smooth (up to the boundary) \, it naturally coincid es with the Dougals Rado solution. In co-dimension one\, thanks to the sem inal work of De Giorgi and Hardt-Simon\, this is indeed the case. In highe r co-dimension the question is not yet completely understood and new pheno mena might appear. In this talk\, after surveying the known results\, I wi ll present the construction of a smooth curve in a 4 dimensional Riemannia n manifold which spans an area minimizing surface with infinite genus. Thi s is based on a joint work with C. De Lellis and J. Hirsch.\n\n//indico.ic tp.it/event/8994/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/8994/ END:VEVENT BEGIN:VEVENT SUMMARY:Diffusion and mixing in incompressible flows DTSTART;VALUE=DATE-TIME:20190711T123000Z DTEND;VALUE=DATE-TIME:20190711T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9005@ictp.it DESCRIPTION:\n Abstract: We study diffusion and mixing in different fluid dynamics models\, mainly related to incompressible flows. In this setting\ , mixing is a purely advective effect which causes a transfer of energy to high frequencies. Mixing acts to enhance the dissipative forces\, giving rise to what we refer to as enhanced dissipation. We understand by this th e identification of a decay time-scale\, which is faster than the purely d iffusive one. We will give a general quantitative criterion that links mix ing rates (in terms of decay of negative Sobolev norms) to enhanced dissip ation time-scales. Applications include passive scalar evolution in both p lanar and radial settings\, fractional diffusion\, linearized two-dimensio nal Navier-Stokes equations\, and even simple examples in kinetic theory.\ n\n//indico.ictp.it/event/9005/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9005/ END:VEVENT BEGIN:VEVENT SUMMARY:Classification of random circle homeomorphisms up to topological c onjugacy DTSTART;VALUE=DATE-TIME:20190715T140000Z DTEND;VALUE=DATE-TIME:20190715T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9009@ictp.it DESCRIPTION:\n Abstract: We provide a classification of random orientation -preserving homeomorphisms of the circle\, up to topological conjugacy of the random dynamical systems generated by i.i.d. iterates. This classifica tion concerns random circle homeomorphisms for which the noise space is a connected Polish space and some other minor conditions are satisfied.This is joint work with Thai Son Doan (Vietnam Academy of Sciences)\, Julian Ne wman (Lancaster University) and Martin Rasmussen (Imperial College London) .\n\n//indico.ictp.it/event/9009/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9009/ END:VEVENT BEGIN:VEVENT SUMMARY:Homotopy type of the moduli spaces of G-Higgs bundles: the real re ductive case DTSTART;VALUE=DATE-TIME:20190729T123000Z DTEND;VALUE=DATE-TIME:20190729T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9014@ictp.it DESCRIPTION:Please see attached abstract\n\n//indico.ictp.it/event/9014/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9014/ END:VEVENT BEGIN:VEVENT SUMMARY:Kaehler geometry afternoon DTSTART;VALUE=DATE-TIME:20190730T120000Z DTEND;VALUE=DATE-TIME:20190730T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9016@ictp.it DESCRIPTION:\n SUN Jun (Wuhan University)Sphere theorems for submanifolds in Kahler manifoldAbstract: In this talk\, we will first recall the previo us results on topological and differentiable sphere theorems. Then we will talk about our recent results on sphere theorems for submanifolds in Kahl er manifold. This is joint work with Linlin Sun. SHI Yalong (Nanjing Unive rsity)Some collapsing estimates for normalized Kahler-Ricci flowAbstract: I shall talk about my recent joint work with Wangjian Jian on the higher o rder estimates for a collapsing family of metrics on certain Kahler manifo lds and for collapsing Calabi-Yau metrics.SJÖSTRÖM DYREFELT Zakarias (IC TP)Optimal lower bounds for Donaldson's J-functionalAbstract: We give an e xplicit formula for precisely how far Donaldson's J-functional is from bei ng proper\, and show that for surfaces the optimal lower bound is an expli citly computable rational function in the underlying Kähler class. We als o discuss a number of applications to Calabi dream manifolds and an analog ous notion for the J-equation\, new sufficient criteria for existence of c scK metrics in terms of Tian's alpha invariant\, and show existence of opt imal degenerations for uniform J-stability on manifolds satisfying the Lej mi-Székelyhidi conjecture.\n\n//indico.ictp.it/event/9016/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9016/ END:VEVENT BEGIN:VEVENT SUMMARY:The Tutte polynomial and abelian quiver varieties DTSTART;VALUE=DATE-TIME:20190801T140000Z DTEND;VALUE=DATE-TIME:20190801T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9034@ictp.it DESCRIPTION:\n Abstract: The Tutte polynomial is a two-variable polynomial one may associate to a given graph. It's cool because it is universal amo ng multiplicative graph invariants that respect certain deletion and contr action relations. Given a graph\, one may also study an associated quiver algebra and count its modules over a finite field. Here we display a direc t relation between the Tutte polynomial and this count of modules. The mai n result here is due to Hausel and Sturmfels but some methods may be new.T his joint work with Fernando Rodriguez Villegas and Anton Mellit. \n\n//in dico.ictp.it/event/9034/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9034/ END:VEVENT BEGIN:VEVENT SUMMARY:Workshop on Deformation Theory DTSTART;VALUE=DATE-TIME:20190805T080000Z DTEND;VALUE=DATE-TIME:20190810T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9038@ictp.it DESCRIPTION://indico.ictp.it/event/9038/ LOCATION:ICTP Leonardo Building - Lecture Room H URL://indico.ictp.it/event/9038/ END:VEVENT BEGIN:VEVENT SUMMARY:On a conjecture of Casselman and Shahidi DTSTART;VALUE=DATE-TIME:20190819T080000Z DTEND;VALUE=DATE-TIME:20190819T090000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9015@ictp.it DESCRIPTION:Please see attached abstract.\n\n//indico.ictp.it/event/9015/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9015/ END:VEVENT BEGIN:VEVENT SUMMARY:Two-fold covering\, ergodicity of higher dimensional actions DTSTART;VALUE=DATE-TIME:20190822T123000Z DTEND;VALUE=DATE-TIME:20190822T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9045@ictp.it DESCRIPTION:Please see attached abstract\n\n//indico.ictp.it/event/9045/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9045/ END:VEVENT BEGIN:VEVENT SUMMARY:B-branes and Anomalous Gauged Linear Sigma Models DTSTART;VALUE=DATE-TIME:20190827T123000Z DTEND;VALUE=DATE-TIME:20190827T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9043@ictp.it DESCRIPTION:\n Abstract: B-branes on Calabi-Yau (CY) X manifolds are in 1- 1 correspondence with objects in the derived category of coherent sheaves. B-branes on Gauged Linear Sigma Models (GLSM) can be roughly interpreted as objects of the derived category of a CY stack. This interpretation can be used to generate equivalences between various categories associated to geometric and nongeometric phases of a CY. I will introduce these concepts and present some results for the case when the stack is not CY (physicall y\, this means the GLSM is anomalous)\, that can be derived from physics. In particular I will explain how the equivalences between categories assoc iated to phases are modified and comment on some consequence on K-theory u sing as a guide the example of Hirzebruch-Jung resolutions of cyclic surfa ce singularities.\n\n//indico.ictp.it/event/9043/ LOCATION:IGAP Old SISSA Building URL://indico.ictp.it/event/9043/ END:VEVENT BEGIN:VEVENT SUMMARY:Mathematics Seminars DTSTART;VALUE=DATE-TIME:20190830T123000Z DTEND;VALUE=DATE-TIME:20190830T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9044@ictp.it DESCRIPTION:\n 14:30 - 15:30  José Ramón Madrid Padilla (UCLA)\n Title: Directional maximal function along the primesabstract: In this talk we wi ll discuss the l2-boundedness of the directional maximal operators along p rimes. Through Fourier Analysis we will make a reduction to study two diff erent situations\, in one of them we will appeal to the Bourgain best cons tant argument and in the other we will use a nice incidence result establi shed recently15:30 - 16:00 break\n 16:00 - 17:00 Mariana Smit Vega Garcia (Western Washington University)\n Title: Free boundary problems\n Abstract : The study of one of the most renowned examples of free boundary problems \, the classical obstacle problem\, began in the 60’s with the pioneerin g works of G. Stampacchia\, H. Lewy and J. L. Lions. During the past five decades\, it has led to beautiful and deep developments in the calculus of variations and geometric partial differential equations. One of its crown ing achievements has been the development\, due to L. Caffarelli\, of the theory of free boundaries. Nowadays the obstacle problem continues to offe r many challenges and its study is as active as ever.  In this talk\, I w ill overview the obstacle problem and describe a few methods used to tackl e two fundamental questions: what is the optimal regularity of the solutio n\, and what can be said about the free boundary.This is based on joint wo rks with Mark Allen\, Nicola Garofalo & Arshak Petrosyan.\n  \n\n//indico .ictp.it/event/9044/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9044/ END:VEVENT BEGIN:VEVENT SUMMARY:Noether-Lefschetz Theory in Toric Varieties DTSTART;VALUE=DATE-TIME:20190903T140000Z DTEND;VALUE=DATE-TIME:20190903T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9061@ictp.it DESCRIPTION:Please see attached abstract\n\n//indico.ictp.it/event/9061/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9061/ END:VEVENT BEGIN:VEVENT SUMMARY:Dissipative two-dimensional vector fields and stability DTSTART;VALUE=DATE-TIME:20190911T123000Z DTEND;VALUE=DATE-TIME:20190911T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9065@ictp.it DESCRIPTION:\n Abstract: We deal with one-parameter families of differenti able planar vector fields for which the infinity reverses its stability as the parameter goes through zero. The present family may be considered as linear perturbations at infinity of a vector field with some spectral prop erty\, for instance\, dissipativity. However\, the Poincare compactificati on is not applied in this paper. This is a joint work with B. Alarcon from UFF (Brasil).\n\n//indico.ictp.it/event/9065/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9065/ END:VEVENT BEGIN:VEVENT SUMMARY:Fourier uncertainty principles\, interpolation and uniqueness sets DTSTART;VALUE=DATE-TIME:20190912T140000Z DTEND;VALUE=DATE-TIME:20190912T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9066@ictp.it DESCRIPTION:\n Abstract: A classical result in the theory of entire functi ons of exponential type\, Shannon’s interpolation formula\, predicates t hat given a function whose Fourier transform vanishes outside the interval $[-1/2\,1/2]$\, it is possible to recover it from its values at the integ ers. More specifically\, it holds\, in a suitable sense of convergence\, t hat\n $$ f(x) = \\sum_{n \\in \\mathbb{Z}} f(n) \\frac{\\sin(\\pi(x-n))}{\ \pi(x -n)}. $$\n This formula is unfortunately unavailable for arbitrary S chwartz functions on the real line\, but a recent result of Radchenko and Viazovska provides us with an explicit construction of an interpolation ba sis for even Schwartz functions. It states\, in a nutshell\, that we can r ecover explicitly the function given its values at the squares of roots of integers.\n In this expository talk\, we will discuss a bit these two res ults\, and explore\, in connection to classical Fourier uncertainty result s\, the question of determining which pairs of sets $(A\,B)$ satisfy that\ , if a Schwartz function $f$ vanishes on A and its Fourier transform vanis hes on B\, then $f \\equiv 0.$\n\n//indico.ictp.it/event/9066/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9066/ END:VEVENT BEGIN:VEVENT SUMMARY:Analysis Seminar: On the Strichartz inequalities for the Schroedi nger equation DTSTART;VALUE=DATE-TIME:20190919T123000Z DTEND;VALUE=DATE-TIME:20190919T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9068@ictp.it DESCRIPTION:\n Abstract: In this talk we will discuss some mixed Lp estima tes obtained by Robert Strichartz in 1977 for a large class of dispersive PDEs\, restricting our attention to the special case of the Schroedinger e quation. Starting with simple facts about the Fourier transform\, we will show how Harmonic Analysis can be applied in order to obtain a complete pr oof of these estimates. It is worth to mention that such estimates also ha ve strong connections with the theory of restriction estimates for Fourier transform\, and we could see the main result of this talk as the base for the companion talk of Mateus Sousa (about sharp restriction estimates for the Fourier transform).\n\n//indico.ictp.it/event/9068/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9068/ END:VEVENT BEGIN:VEVENT SUMMARY:Analysis Seminar: On sharp Strichartz inequalities DTSTART;VALUE=DATE-TIME:20190919T133000Z DTEND;VALUE=DATE-TIME:20190919T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9076@ictp.it DESCRIPTION:\n \nAbstract: In this follow-up talk we will discuss a little bit about the concept of sharp inequalities with a focus on the particula r case of Strichartz inequalities. We will discuss questions related to sh arp constants\, existence of extremizers and characterization of extremize rs.\n\n\n\n\n//indico.ictp.it/event/9076/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9076/ END:VEVENT BEGIN:VEVENT SUMMARY:MATH DIPLOMA Seminar: The sphere packing problem and the construct ion of magic functions DTSTART;VALUE=DATE-TIME:20190924T110000Z DTEND;VALUE=DATE-TIME:20190924T120000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9078@ictp.it DESCRIPTION:\n Abstract: How densely can one pack identical balls that do not overlap in $R^n$? Although it looks like an innocent question\, this t urns out to be one of the most difficult problems in geometry. Before 2016 \, the answer for the problem was known only in dimensions 1\, 2 and 3. In 2003\, Cohn and Elkies found a connection between this problem and a Four ier optimization one. Using Cohn and Elkies result\, Viazovska constructed magic functions that solve the sphere packing problem in dimension 8 and\ , later on\, she and her collaborators also solved the problem in dimensio n 24 using similar techniques. In this talk\, we introduce the sphere pack ing problem and discuss Viazovska's construction and the role played by mo dular forms in it.\n\n//indico.ictp.it/event/9078/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9078/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometry and Physics Seminar (in commemoration of Boris Dubrovin) DTSTART;VALUE=DATE-TIME:20190927T130000Z DTEND;VALUE=DATE-TIME:20190927T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9141@ictp.it DESCRIPTION:in commemoration of Boris Dubrovin\nThe event will include tal ks by A. Veselov\, who will talk about Boris’s scientific legacy\,\nand byDon B. Zagier: "From integrable Lagrangians to automorphic forms"\n\n//i ndico.ictp.it/event/9141/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/9141/ END:VEVENT BEGIN:VEVENT SUMMARY:NCG seminar: Hopf algebras with no modular pair in involution DTSTART;VALUE=DATE-TIME:20191004T133000Z DTEND;VALUE=DATE-TIME:20191004T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9149@ictp.it DESCRIPTION://indico.ictp.it/event/9149/ LOCATION:SISSA SISSA\, Boris Dubrovin room 136 URL://indico.ictp.it/event/9149/ END:VEVENT BEGIN:VEVENT SUMMARY:Quadratic Fields and Modular Forms DTSTART;VALUE=DATE-TIME:20191007T120000Z DTEND;VALUE=DATE-TIME:20191007T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9153@ictp.it DESCRIPTION:\n The course is aimed for mathematicians from the master's or doctoral level to researchers and will be entirely self-contained\, start ing with classical theorems about zeta functions and quadratic fields and then describing the many links between them and the theory of modular form s.\n \n Next Lectures: \n \n \n Monday\, October 7\, 2019 - 14:0 0 to 16:00\n \n Thursday\, October 10\, 2019 - 14:00 to 16:00\n \n Monday\, October 14\, 2019 - 14:00 to 16:00\n \n Thursday\, Octobe r 17\, 2019 - 14:00 to 16:00\n \n Monday\, October 21\, 2019 - 14:00 to 16:00\n \n Thursday\, October 24\, 2019 - 14:00 to 16:00\n \n Monday\, October 28\, 2019 - 14:00 to 16:00\n \n Thursday\, October 31\, 2019 - 14:00 to 16:00\n \n \n\n\n//indico.ictp.it/event/9153/ LOCATION:SISSA SISSA\, Room A-136 URL://indico.ictp.it/event/9153/ END:VEVENT BEGIN:VEVENT SUMMARY:Course on "Quadratic Fields and Modular Forms" DTSTART;VALUE=DATE-TIME:20191007T120000Z DTEND;VALUE=DATE-TIME:20191031T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9154@ictp.it DESCRIPTION:\n The course is aimed for mathematicians from the master's or doctoral level to researchers and will be entirely self-contained\, start ing with classical theorems about zeta functions and quadratic fields and then describing the many links between them and the theory of modular form s.\n  \n\n Next Lectures:\n Monday\, October 7\, 2019 - 14:00 to 16:00\n Thursday\, October 10\, 2019 - 14:00 to 16:00\n Monday\, October 14\, 2019 - 14:00 to 16:00\n Thursday\, October 17\, 2019 - 14:00 to 16:00\n Monday \, October 21\, 2019 - 14:00 to 16:00\n Thursday\, October 24\, 2019 - 14: 00 to 16:00\n Monday\, October 28\, 2019 - 14:00 to 16:00\n Thursday\, Oct ober 31\, 2019 - 14:00 to 16:00\n\n//indico.ictp.it/event/9154/ LOCATION:SISSA Boris Dubrovin Lecture room (A-136) URL://indico.ictp.it/event/9154/ END:VEVENT BEGIN:VEVENT SUMMARY:Quantum Homogeneous Spaces DTSTART;VALUE=DATE-TIME:20191009T140000Z DTEND;VALUE=DATE-TIME:20191009T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9152@ictp.it DESCRIPTION:\n Abstract: This talk is an introduction to the main topic of my PhD thesis and it is based on the paper The Nodal Cubic is a Quantum H omogeneous Space by Ulrich Kreahmer and Angela Tabiri. I will give a brief introduction to the theory of Hopf algebras with examples\, establish a c orrespondence between affine algebraic groups and commutative Hopf algebra and finally show that the nodal cubic is a quantum homogeneous space.\n\n //indico.ictp.it/event/9152/ LOCATION:SISSA Boris Dubrovin Lecture room (A-136) URL://indico.ictp.it/event/9152/ END:VEVENT BEGIN:VEVENT SUMMARY:An invitation to combinatorial Hopf algebras DTSTART;VALUE=DATE-TIME:20191010T140000Z DTEND;VALUE=DATE-TIME:20191010T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9150@ictp.it DESCRIPTION:\n Abstract: I will tell you what the incidence coalgebra of a category is\, and when a monoidal product on the category turns it into a bialgebra. Trees\, skew shapes and bigraphs yield examples. The main resu lt describes the overlap with the theory of Hopf quivers which is surprisi ngly (for me) singular. Based on joint work with Lucia Rotheray. \n\n//ind ico.ictp.it/event/9150/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9150/ END:VEVENT BEGIN:VEVENT SUMMARY:Kahler Meetings DTSTART;VALUE=DATE-TIME:20191011T123000Z DTEND;VALUE=DATE-TIME:20191111T123000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9166@ictp.it DESCRIPTION:The Kähler geometry working group will continue as last year. The first talks of the semester have been scheduled as follows:\nFriday O ctober 11 (14:30 - 16:30) - Claudio Arezzo\nTuesday October 22 (10:00 - 12 :00) - Carolina Araujo\nTuesday November 4 (10:00 - 12:00) - Zakarias Sjö ström Dyrefelt\nMonday November 11 (10:00 - 12:00) - Jacopo Stoppa\nAll a re welcome to attend\n\n//indico.ictp.it/event/9166/ LOCATION:IGAP Old SISSA building URL://indico.ictp.it/event/9166/ END:VEVENT BEGIN:VEVENT SUMMARY:Tsen's Theorem and higher Fano manifolds DTSTART;VALUE=DATE-TIME:20191016T120000Z DTEND;VALUE=DATE-TIME:20191016T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9151@ictp.it DESCRIPTION://indico.ictp.it/event/9151/ LOCATION:SISSA SISSA - Room A-004 URL://indico.ictp.it/event/9151/ END:VEVENT BEGIN:VEVENT SUMMARY:Bridgeland stability conditions on the category of morphisms DTSTART;VALUE=DATE-TIME:20191016T140000Z DTEND;VALUE=DATE-TIME:20191016T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9167@ictp.it DESCRIPTION://indico.ictp.it/event/9167/ LOCATION:SISSA SISSA-Boris Dubrovin Lecture room (A-136) URL://indico.ictp.it/event/9167/ END:VEVENT BEGIN:VEVENT SUMMARY:Vertex operator algebras whose dimensions of weight one spaces are 8 and 16 DTSTART;VALUE=DATE-TIME:20191022T140000Z DTEND;VALUE=DATE-TIME:20191022T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9165@ictp.it DESCRIPTION://indico.ictp.it/event/9165/ LOCATION:ICTP Leonardo Building - Lecture Room B URL://indico.ictp.it/event/9165/ END:VEVENT BEGIN:VEVENT SUMMARY:Seminar of Algebraic Geometry "Flexible octahedra via the moduli s pace of stable rational curves" DTSTART;VALUE=DATE-TIME:20191023T140000Z DTEND;VALUE=DATE-TIME:20191023T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9182@ictp.it DESCRIPTION:\n Abstract: Cauchy proved that every convex polyhedron is rig id\, in the sense that it cannot move preserving the shape of its faces. A t the beginning of the XX century\, Bricard discovered three families of f lexible self-intersecting octahedra\, and these are the only possible flex ible ones. With the aid of the moduli space of stable rational curves\, we attempt to re-prove the classical classification via a technique that may be applicable also to other situations. This is joint work with Georg Gra segger\, Jan Legersky\, and Josef Schicho.\n\n//indico.ictp.it/event/9182/ LOCATION:SISSA Boris Dubrovin Lecture room (A-136) SISSA URL://indico.ictp.it/event/9182/ END:VEVENT BEGIN:VEVENT SUMMARY:Positive measure of KAM tori for finitely differentiable Hamiltoni ans DTSTART;VALUE=DATE-TIME:20191024T140000Z DTEND;VALUE=DATE-TIME:20191024T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9168@ictp.it DESCRIPTION:\n Abstract: We will discuss some questions and remarks on the existence of invariant tori for finitely differentiable Hamiltonians.\n\n //indico.ictp.it/event/9168/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9168/ END:VEVENT BEGIN:VEVENT SUMMARY:Long time dynamics of water waves DTSTART;VALUE=DATE-TIME:20191024T150000Z DTEND;VALUE=DATE-TIME:20191024T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9171@ictp.it DESCRIPTION:\n Abstract: In this talk I will present some recent results a bout small amplitude quasi-periodic solutions of water waves and Birkhoff normal form techniques to prove long time existence results for the initia l value problem.\n\n//indico.ictp.it/event/9171/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9171/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR: Refinements in Donaldson-Thomas theory DTSTART;VALUE=DATE-TIME:20191029T150000Z DTEND;VALUE=DATE-TIME:20191029T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9193@ictp.it DESCRIPTION:\n Abstract: Donaldson-Thomas invariants are integers (virtual ly) counting sheaves on complex 3-folds. The local structure of the moduli space of sheaves on a Calabi-Yau 3-fold leaves room for various refinemen ts of these integer counts. After introducing some of them\, we will give an example (joint work with B. Davison) of a motivic refinement in DT theo ry: a motivic lift of the DT/PT correspondence\, proved in the unrefined c ase by Bridgeland and Toda.\n  \n\n//indico.ictp.it/event/9193/ LOCATION:SISSA SISSA-Room A-134 URL://indico.ictp.it/event/9193/ END:VEVENT BEGIN:VEVENT SUMMARY:Moduli of tensor stable points and refined representations DTSTART;VALUE=DATE-TIME:20191105T150000Z DTEND;VALUE=DATE-TIME:20191105T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9200@ictp.it DESCRIPTION:\n Abstract: This is joint work with Daniel Chan (UNSW Sydney) . Moduli spaces are a fruitful way of studying a given abelian category\, take for example the moduli of point-like objects in non-commutative proje ctive spaces or the moduli of representations of the McKay quiver. These e xamples yield moduli varieties\, elliptic curves and minimal resolutions o f Kleinian singularities respectively. Sometimes\, however\, the problem l ends itself better to algebraic stacks as in the case of Ringel's canoncia l algebras and weighted projective lines. We will start with a stack and a direct sum of line bundles that form a tilting bundle and recover the sta ck from the corresponding category of quiver representations.http://users. ictp.it/~arincon/AGS.html\n\n//indico.ictp.it/event/9200/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9200/ END:VEVENT BEGIN:VEVENT SUMMARY:Hardy-Littlewood-Sobolev inequalities for homogeneous differential operators DTSTART;VALUE=DATE-TIME:20191107T150000Z DTEND;VALUE=DATE-TIME:20191107T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9183@ictp.it DESCRIPTION:\n Abstract:  In this lecture we present a new characterizati on of Hardy-Littlewood-Sobolev inequalities in $L^{1}$ norm for homogeneou s linear differential operators with constant coefficients. Variants and a pplications are presented\, in particular a version of $L^{1}$ Stein-Weiss inequality for vector fields. This is joint work with Jorge Hounie (UFSCa r - Brazil) and (work in progress) with Pablo De Napoli (UBA - Argentina). \n\n//indico.ictp.it/event/9183/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9183/ END:VEVENT BEGIN:VEVENT SUMMARY:Optimal regularity for a two-phase free boundary problem ruled by the infinity laplacian DTSTART;VALUE=DATE-TIME:20191112T150000Z DTEND;VALUE=DATE-TIME:20191112T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9194@ictp.it DESCRIPTION:\n Abstract: In this talk we discuss some regularity aspects f or solutions of a non-variational two-phase free boundary problem ruled by the infinity Laplacian.\n\n//indico.ictp.it/event/9194/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9194/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR - A brief introduction to deformati on theory and functor of Artin rings DTSTART;VALUE=DATE-TIME:20191112T150000Z DTEND;VALUE=DATE-TIME:20191112T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9205@ictp.it DESCRIPTION:\n Abstract: Deformation theory\, introduced by Grothendieck i n his seminar talks "Fundaments de la Géométre Algébrique"\, is the alg ebraic counterpart of the approach taken by Kodaira\, Spencer\, Nirenberg and Kuranishi to study small deformations of complex manifolds. In this ta lk I'll introduce the notions of deformation of an algebraic scheme\, the notion of functor of Artin rings and I'll give give some example of those. Then I'll try to explain the notion of tangent space to a functor of Arti n rings and give some example of computations in special cases. If time pe rmits\, I'll try to define the notion of obstruction space\, give some exa mples and give an idea of how these tangent/obstruction spaces are linked with the local-to-global spectral sequence of Ext.http://users.ictp.it/~ar incon/AGS.html\n\n//indico.ictp.it/event/9205/ LOCATION:SISSA Room A-137 URL://indico.ictp.it/event/9205/ END:VEVENT BEGIN:VEVENT SUMMARY:A Calculus proof of the Riesz representation theorem and its appli cations DTSTART;VALUE=DATE-TIME:20191114T150000Z DTEND;VALUE=DATE-TIME:20191114T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9184@ictp.it DESCRIPTION:\n Abstract: I will present an elementary proof of the well kn own Riesz representation theorem. The idea extends to a direct proof of th e Radon-Nikodym theorem as well as duality results.\n\n//indico.ictp.it/ev ent/9184/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9184/ END:VEVENT BEGIN:VEVENT SUMMARY:Sigma models\, supersymmetry and generalized geometry DTSTART;VALUE=DATE-TIME:20191119T150000Z DTEND;VALUE=DATE-TIME:20191119T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9210@ictp.it DESCRIPTION:\n Abstract: A sigma model is a theory of maps between manifol ds. The model has supersymmetry if the target manifold carries certain geo metrical structures. Focusing on the particular case of (2\,2) supersymmet ry\, the target manifold has a generalized Kaehler structure. In this talk \, I will introduce and define each of the terms above. Generalized geomet ry is a reformulation of differential geometry taking place on the direct sum of the tangent and cotangent bundles rather than just the tangent bund le. Complex structures in generalized geometry generalize both complex and symplectic geometry. The analog of the Kaehler condition is having two co mmuting generalized complex structures. I will show how the sigma model fo rmulation predicts the existence of a single local function describing the entire generalized Kaehler structure\, as in the usual Kaehler case.\n\n/ /indico.ictp.it/event/9210/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9210/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR: Playing with quotient singularities DTSTART;VALUE=DATE-TIME:20191120T150000Z DTEND;VALUE=DATE-TIME:20191120T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9216@ictp.it DESCRIPTION:\n Abstract: One of the biggest differences between differenti al geometry and algebraic geometry is the presence of singularities. In pa rticular\, the study of their resolutions constitutes a huge branch in alg ebraic geometry. In this seminar I will show some useful techniques in res olutions of singularities (especially in dimension 2 & 3). I will try to e xplain the groups theory aspect of this story in terms of crepant resoluti ons and Mckay correspondence.\nhttp://users.ictp.it/~arincon/AGS.html \n\n //indico.ictp.it/event/9216/ LOCATION:SISSA SISSA\, Room (A-136) URL://indico.ictp.it/event/9216/ END:VEVENT BEGIN:VEVENT SUMMARY:SPECIAL LECTURE SERIES: The Rogers-Ramanujan identities and the ic osahedron DTSTART;VALUE=DATE-TIME:20191127T133000Z DTEND;VALUE=DATE-TIME:20191206T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9218@ictp.it DESCRIPTION://indico.ictp.it/event/9218/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/9218/ END:VEVENT BEGIN:VEVENT SUMMARY:Kontsevich-Soibelman scattering diagrams DTSTART;VALUE=DATE-TIME:20191127T150000Z DTEND;VALUE=DATE-TIME:20191127T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9222@ictp.it DESCRIPTION:\n Abstract: Kontsevich-Soibelman scattering diagrams are inte resting objects which appear in algebraic geometry\, for instance in Gromo w-Witten theories for toric surfaces. In this talk I will define scatterin g diagrams and I will explain how I have used them in my research project\ , studying deformation theory of holomorphic pairs.http://users.ictp.it/~a rincon/AGS.html\n\n//indico.ictp.it/event/9222/ LOCATION:SISSA Room (A-136) SISSA URL://indico.ictp.it/event/9222/ END:VEVENT BEGIN:VEVENT SUMMARY:Kahler Meeting DTSTART;VALUE=DATE-TIME:20191128T133000Z DTEND;VALUE=DATE-TIME:20191128T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9221@ictp.it DESCRIPTION://indico.ictp.it/event/9221/ LOCATION:Old SISSA Building IGAP URL://indico.ictp.it/event/9221/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR: Some classical invariants of links and thei r higher-dimensional analogues DTSTART;VALUE=DATE-TIME:20191202T150000Z DTEND;VALUE=DATE-TIME:20191202T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9226@ictp.it DESCRIPTION:\n Abstract: In my talk I will review the notions of links and knots and their higher dimensional analogues. I will then define certain invariants of (higher-dimensional) links under ambient isotopy. Such "clas sical" invariants can be described purely in geometric terms. I will give some simple examples of (higher-dimensional) links with non-trivial values of the invariants.\n\n//indico.ictp.it/event/9226/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/9226/ END:VEVENT BEGIN:VEVENT SUMMARY:Vector bundles over elliptic surfaces DTSTART;VALUE=DATE-TIME:20191204T150000Z DTEND;VALUE=DATE-TIME:20191204T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9237@ictp.it DESCRIPTION:\n Abstract: This will be a review talk about vector bundles o n elliptic surfaces. We will start by showing that S-equivalence classes o f semistable vector bundles of rank n and trivial determinant over an inte gral curve E of arithmetic genus 1 (possibly singular) have a coarse modul i space\, which is a projective space P of dimension n-1. Then\, we will d escribe two methods for constructing universal families of regular bundles over PxE\, one based on the idea of a spectral cover of P\, and the other on the universal extension of two suitably chosen vector bundles on E. Fi nally\, we will explain how these ideas can be generalized to the relative context of a family of Weierstrass cubics with a section.\n\n//indico.ict p.it/event/9237/ LOCATION:SISSA Boris Dubrovin Lecture room (A-136) URL://indico.ictp.it/event/9237/ END:VEVENT BEGIN:VEVENT SUMMARY:Generalized convexity of power functions DTSTART;VALUE=DATE-TIME:20191205T150000Z DTEND;VALUE=DATE-TIME:20191205T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9186@ictp.it DESCRIPTION:\n Abstract: We study elliptic partial differential operators in divergence form on open sets in R^n and associated with complex uniform ly strictly accretive matrices. We present several results for such operat ors\, the central being the so-called bilinear embedding theorem. The proo f of this theorem is a combination of heat flows and Bellman functions\, a nd leads to a new concept of convexity of power functions |z|^p for comple x z and associated with accretive matrices. This concept turns out to be a generalization of the classical ellipticity condition and seems to be wel l suited for the study of elliptic PDE on L^p spaces. The talk is based on collaboration with Andrea Carbonaro (U. Genova). \n\n//indico.ictp.it/eve nt/9186/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9186/ END:VEVENT BEGIN:VEVENT SUMMARY:Constant Nonlocal Mean Curvature Hypersurfaces DTSTART;VALUE=DATE-TIME:20191206T090000Z DTEND;VALUE=DATE-TIME:20191206T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9227@ictp.it DESCRIPTION:\n Abstract: The notion of Nonlocal Mean Curvature (NMC) appea red in the mathematics literature around 10 years ago. It arises in variat ional problems for the fractional perimeter and related nonlocal interfaci al energies. I will first review the notion of NMC and discuss its main pr operties in comparison with the classical mean curvature. I will also focu s on the class of hypersurfaces with constant NMC. Although this class is still largely unexplored\, first results show both similarities and striki ng differences to the classical local setting of constant mean curvature s urfaces. [Joint work with: Xavier Cabré (Universitat Politècnica de Cata lunya\, Barcelona)\, Joan Solà-Morales (Universitat Politècnica de Catal unya\, Barcelona)\, Tobias Weth (Goethe-University Frankfurt)] \n\n//indic o.ictp.it/event/9227/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9227/ END:VEVENT BEGIN:VEVENT SUMMARY:Vector bundles\, stability and some construction schemes DTSTART;VALUE=DATE-TIME:20191211T153000Z DTEND;VALUE=DATE-TIME:20191211T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9244@ictp.it DESCRIPTION:\n Abstract: This will be a review talk concerning notions of stability and particular descriptions of vector bundles on some classes of algebraic varieties.\n In particular\, we will sketch the main ideas appe aring in Stability restriction theorem\, Narasimhan-Seshadri theorem and t ry to review the accessible descriptions of some vector bundles\, i.e. Bar th construction and Horroks-Mumford bundle (indecomposible rank 2 bundle o n a $\\mathbb{P}^4$).\n After that we will focus on some possible descript ions of moduli spaces and show how to try to prove stability of vector bun dles for some particular examples. If time permits\, we will probably disc uss something about the metric.\n\n//indico.ictp.it/event/9244/ LOCATION:SISSA Boris Dubrovin Lecture room (A-136) URL://indico.ictp.it/event/9244/ END:VEVENT BEGIN:VEVENT SUMMARY:Nonlocal Diffusion of Smooth Sets DTSTART;VALUE=DATE-TIME:20191212T140000Z DTEND;VALUE=DATE-TIME:20191212T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9229@ictp.it DESCRIPTION:Please see attached Abstract\n\n//indico.ictp.it/event/9229/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9229/ END:VEVENT BEGIN:VEVENT SUMMARY:Fully nonlinear integro-differential equations with deforming kern els DTSTART;VALUE=DATE-TIME:20191213T150000Z DTEND;VALUE=DATE-TIME:20191213T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9255@ictp.it DESCRIPTION:\n Abstract: We develop a regularity theory for integro-differ ential equations with kernels deforming in space like sections of a convex solution of a Monge-Ampère equation. We prove an ABP estimate and a Harn ack inequality and derive Hölder and $C^{1\,\\alpha}$ regularity results for solutions. This is a joint with L. Caffarelli and J.M. Urbano.\n\n//in dico.ictp.it/event/9255/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9255/ END:VEVENT BEGIN:VEVENT SUMMARY:A short discussion of KAM Theory DTSTART;VALUE=DATE-TIME:20191217T090000Z DTEND;VALUE=DATE-TIME:20191217T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9259@ictp.it DESCRIPTION:Abstract: I will essentially describe one of the many KAM sche mes for proving the persistence of a single invariant\, Lagrangian\, Dioph antine Torus.\n\n//indico.ictp.it/event/9259/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9259/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamics of the geodesic flow on surfaces DTSTART;VALUE=DATE-TIME:20191218T090000Z DTEND;VALUE=DATE-TIME:20191218T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9258@ictp.it DESCRIPTION:\n Abstract: In this talk we will discuss some dynamical prope rties of the geodesic flow on surfaces with constant negative curvature. T his include ergodicity\, uniqueness of the measure of maximal entropy and counting the number of closed geodesics with fixed length. We will also ta lk about some generalizations of these properties on more general surfaces based on a join work with Gerhard Knieper and Vaughn Climenhaga.\n\n//ind ico.ictp.it/event/9258/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9258/ END:VEVENT BEGIN:VEVENT SUMMARY:Moduli theory\, stability of fibrations and optimal symplectic con nections DTSTART;VALUE=DATE-TIME:20200107T150000Z DTEND;VALUE=DATE-TIME:20200107T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9260@ictp.it DESCRIPTION:\n Abstract: I will describe a new notion of stability associa ted to fibrations in algebraic geometry. Much like Tian-Donaldson's notion of K-stability\, there is an associated notion of a "canonical metric"\, in the form of an "optimal symplectic connection". Our main result shows t hat the existence of an optimal symplectic connection implies that the fib ration is semistable. There is an associated moduli problem for stable fib rations over a fixed base\, and I will also explain certain aspects of thi s. This is joint work with Lars Sektnan.\n\n//indico.ictp.it/event/9260/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9260/ END:VEVENT BEGIN:VEVENT SUMMARY:Minimal surfaces in H3 DTSTART;VALUE=DATE-TIME:20200120T100000Z DTEND;VALUE=DATE-TIME:20200120T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9281@ictp.it DESCRIPTION:\n Abstract: We will present the main examples of surfaces wit h zero mean curvature in the hyperbolic space H3.\n\n//indico.ictp.it/even t/9281/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9281/ END:VEVENT BEGIN:VEVENT SUMMARY:An analogue of Hitchin's equations in the category of polarized va rieties DTSTART;VALUE=DATE-TIME:20200121T150000Z DTEND;VALUE=DATE-TIME:20200121T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9291@ictp.it DESCRIPTION:\n Abstract: The Hitchin-Kobayashi correspondence states that the moduli space of stable vector bundles over a projective manifold coinc ides with the moduli space of Einstein-Hermitian vector bundles. Over the years\, this result and its consequences have served as a motivation to re late the existence of metrics of constant curvature on polarized manifolds to an algebraic condition (K-stability). The correspondence between stabl e and Einstein-Hermitian vector bundles has a well-known generalization in the context of Higgs bundles\, where one studies Hitchin's harmonic bundl e equations. In this talk we will describe how to give an analogous constr uction in the category of polarized varieties\, thus defining what a "Higg s field" should be in this context and studying a system of equations that naturally arises from the construction.Note: After the talk we will be di scussing the future plans for the seminar. http://users.ictp.it/~arincon/A GS.html \n\n//indico.ictp.it/event/9291/ LOCATION:SISSA Lecture Room A-134 URL://indico.ictp.it/event/9291/ END:VEVENT BEGIN:VEVENT SUMMARY:GIT and B-brane monodromy DTSTART;VALUE=DATE-TIME:20200129T130000Z DTEND;VALUE=DATE-TIME:20200129T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9303@ictp.it DESCRIPTION:\n Abstract: Suppose you have a vector space with the action o f a Lie group. If you give it to a string theorist they might build a gaug ed linear sigma model\, and if you give it to an algebraic geometer they m ight take the geometric invariant theory quotients. It turns out the strin g theory can then make interesting predictions for the algebraic geometer\ , particularly about how the derived categories of the different quotients are related. I'll explain some of this picture and what we understand abo ut it mathematically.\n\n//indico.ictp.it/event/9303/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9303/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR - Overview of the seminar on scatt ering diagrams and motivic Hall algebras DTSTART;VALUE=DATE-TIME:20200130T153000Z DTEND;VALUE=DATE-TIME:20200130T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9306@ictp.it DESCRIPTION:For further information about the seminar please visithttp://u sers.ictp.it/~arincon/AGS.html\n\n//indico.ictp.it/event/9306/ LOCATION:SISSA Room 136 URL://indico.ictp.it/event/9306/ END:VEVENT BEGIN:VEVENT SUMMARY:Scattering diagrams and the reconstruction theorem of Kontsevich-S oibelman DTSTART;VALUE=DATE-TIME:20200206T153000Z DTEND;VALUE=DATE-TIME:20200206T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9312@ictp.it DESCRIPTION://indico.ictp.it/event/9312/ LOCATION:SISSA Boris Dubrovin Lecture room (A-136) URL://indico.ictp.it/event/9312/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR - Moduli of representation of quiv ers and first examples of scattering diagrams DTSTART;VALUE=DATE-TIME:20200211T153000Z DTEND;VALUE=DATE-TIME:20200211T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9318@ictp.it DESCRIPTION:\nFor further information about the seminar please visit  htt p://users.ictp.it/~arincon/AGS.html\n\n\n//indico.ictp.it/event/9318/ LOCATION:SISSA Lecture Room 134 URL://indico.ictp.it/event/9318/ END:VEVENT BEGIN:VEVENT SUMMARY:Introduction to stacks DTSTART;VALUE=DATE-TIME:20200220T153000Z DTEND;VALUE=DATE-TIME:20200220T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9328@ictp.it DESCRIPTION:\n Abstract: The goal of this talk is to construct the quotien t stack by a smooth group scheme and to see that it is an Artin stack. The talk will be divided into four parts. First\, we define the algebraic spa ce over a fixed scheme S. Algebraic spaces are sheaves on the big étale s ite Sch/S with the representable diagonal morphism and an étale covering. Then\, we give the original definition of the stack. Stacks are categorie s fibered in groupoid over a site for which every covering is of effective descent. We also provide a necessary and sufficient condition for a categ ory fibered in groupoid to be a stack. Third\, we define the Artin stack. Artin stacks are stacks over the big étale site Sch/S with the representa ble diagonal morphism and an smooth covering. Here\, algebraic spaces play a role to describe property of morphisms of stacks. Finally\, given a smo oth group scheme G acting on a scheme X over S\, we construct the quotient [X/G] and check that [X/G] satisfies the all conditions to be a stack\, m oreover an Artin stack. If time allows\, we will provide some examples of quotient stacks.\n\n//indico.ictp.it/event/9328/ LOCATION:SISSA Room 133 URL://indico.ictp.it/event/9328/ END:VEVENT BEGIN:VEVENT SUMMARY:gggg DTSTART;VALUE=DATE-TIME:20200221T070000Z DTEND;VALUE=DATE-TIME:20200221T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9331@ictp.it DESCRIPTION://indico.ictp.it/event/9331/ LOCATION: Adriatico Guest House - Denardo Lecture Hall URL://indico.ictp.it/event/9331/ END:VEVENT BEGIN:VEVENT SUMMARY:ggg DTSTART;VALUE=DATE-TIME:20200221T070000Z DTEND;VALUE=DATE-TIME:20200221T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9332@ictp.it DESCRIPTION://indico.ictp.it/event/9332/ LOCATION: Adriatico Guest House - Denardo Lecture Hall URL://indico.ictp.it/event/9332/ END:VEVENT BEGIN:VEVENT SUMMARY:Moduli of low degree del Pezzo surfaces and stratifications * POST PONED * DTSTART;VALUE=DATE-TIME:20200225T150000Z DTEND;VALUE=DATE-TIME:20200225T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9330@ictp.it DESCRIPTION:Note: ICTP has suspended all educational activities for the we ek of 24 February as a health precaution\; more details at\n https://www. ictp.it/about-ictp/media-centre/news/2020/2/ictp_suspend_activities.aspx\n \n Abstract: In this talk we discuss new constructions via non-reductive G IT of del Pezzo surfaces of degree 1 and 2 coming from the description as surfaces in weighted projective 3-folds. For degrees 1\, 2 and 3 we discus s stratifications coming from GIT and compare these with geometric stratif ications given by singularity type.\n\n//indico.ictp.it/event/9330/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9330/ END:VEVENT BEGIN:VEVENT SUMMARY:Semi-stable laws for wobbly intermittent maps * POSTPONED * DTSTART;VALUE=DATE-TIME:20200226T130000Z DTEND;VALUE=DATE-TIME:20200226T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9326@ictp.it DESCRIPTION:Note: ICTP has suspended all educational activities for the we ek of 24 February as a health precaution\; more details athttps://www.ictp .it/about-ictp/media-centre/news/2020/2/ictp_suspend_activities.aspx\n\n A bstract: A classical problem in probability theory is to understand the be haviour of centred and scaled sums of independent identically distributed (iid) random variables. A well known result in this area is the central li mit theorem which loosely states that if X_1\, X_2\, ... is an iid sequenc e of mean 0 random variables of finite variance then (1/\\sqrt{n}) \\sum_{ j=1}^{n} X_j will converge in distribution to a Gaussian random variable. Generalisations of the central limit theorem exists for the case that the variance of the X_i is no longer finite\, in this case the scaling 1/\\sqr t{n} is altered and the limiting distribution may no longer be Gaussian. O ne may generalise even further and consider all weak limit points of the s equence (1/A_n)(\\sum_{j=1}^n X_j). It turns out that under some very mild restrictions all the limit points of this sequence have distribution belo nging to the same class - namely they are semi-stable. In this talk we wil l be interested in what happens when the iid sequence X_1\, X_2\, ... is r eplaced by a deterministic one. We will take a particular map T:[0\,1] \\t o [0\,1] (a so called wobbly intermittent map) and a function u:[0\,1] \\t o R and replace the sequence X_1\, X_2\, ... with the sequence u\, u \\cir c T\, u \\circ T^2\, .... I will present recent work joint with M. Holland and D. Terhesiu in which we show that for all functions u belonging to wi de class the sequence u\, u \\circ T\, u \\circ T^2\, ... will satisfy sem i-stable limit theorems.\n\n//indico.ictp.it/event/9326/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9326/ END:VEVENT BEGIN:VEVENT SUMMARY:Cell decompositions of character varieties DTSTART;VALUE=DATE-TIME:20200409T120000Z DTEND;VALUE=DATE-TIME:20200409T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9347@ictp.it DESCRIPTION:\n Abstract: Character variety is a variety parameterizing rep resentations of the fundamental group of a Riemann surface\, or equivalent ly flat connections\, up to equivalence. First examples go back to Fricke and Klein and give rise to the Markov surface. I will talk about a general way to decompose a character variety into simple pieces thus connecting i ts geometry to interesting combinatorics. Some theorems and conjectures of Hausel\, Letellier and Rodriguez-Villegas can be proved using this approa ch.\n\n//indico.ictp.it/event/9347/ LOCATION:Zoom Meeting Meeting ID: 749-725-833 URL://indico.ictp.it/event/9347/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR: Phase transitions: from physics to computer science DTSTART;VALUE=DATE-TIME:20200423T140000Z DTEND;VALUE=DATE-TIME:20200423T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9354@ictp.it DESCRIPTION:\n Abstract: Phase transitions happen in complex systems\, sys tems made of very many interacting entities\, and correspond to a change o f macroscopic state of the system when some external control parameter is tuned. The classical example are molecules of water globally changing from ice to liquid to vapour (to plasma) as temperature increases. But in the past 50 years it has been realised that phase transitions are much more « universal»\, in the sense that they also happen in systems that may a pri ori be considered far from the realm of condensed matter physics: neurosci ences\, biological systems\, financial markets\, but also in more abstract «Information processing systems»: computer science and algorithms for c ombinatorial optimisation\, machine learning from data\, or inference of l arge signals hidden in noise. «No way… Yes way!»\n\n//indico.ictp.it/e vent/9354/ LOCATION:Zoom Meeting https://zoom.us/meeting/register/tJcrcuurrTwrG t16s9nn0erFUBap8n3GJh3U URL://indico.ictp.it/event/9354/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Finding solitons in differential geometry DTSTART;VALUE=DATE-TIME:20200521T120000Z DTEND;VALUE=DATE-TIME:20200521T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9372@ictp.it DESCRIPTION:\n \n \n Register in advance for this zoom meeting:\nhttps://z oom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\n\n Abstract: The concept of soliton provides a useful way to discover elements in a gi ven class of geometric structures that are somehow distinguished. Solitons sometimes play the role of "best" structures in the case when the most na tural ones are not available. We aim in this talk to show that this is bei ng very fruitful in the study of Riemannian\, Hermitian\, almost-Kähler a nd G2 structures on manifolds\, with a particular strength on Lie groups. We will start discussing and finding solitons in some different contexts\, including matrices\, polynomials\, plane curves\, Lie group representatio ns (moment maps) and the variety of Lie algebras.\n \n\n//indico.ictp.it/e vent/9372/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9372/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Mirror Symmetry from a football point of view DTSTART;VALUE=DATE-TIME:20200528T120000Z DTEND;VALUE=DATE-TIME:20200528T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9378@ictp.it DESCRIPTION:\n Please register in advance for this meeting:\n https://zoo m.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\n After registr ation\, you will receive a confirmation email containing information about joining the meetingAbstract: I will illustrate concepts of mirror symmetr y using symplectic Lefschetz fibrations and will discuss how deformations of complex structures may affect mirrors.\n\n//indico.ictp.it/event/9378/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9378/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Joint ICTP/Rio de Janeiro Webinar on Anal ysis and PDEs "Certainty vs. uncertainty" DTSTART;VALUE=DATE-TIME:20200604T130000Z DTEND;VALUE=DATE-TIME:20200604T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9389@ictp.it DESCRIPTION:\n Please register in advance for this meeting:https://zoom.us /meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\n After registratio n\, you will receive a confirmation email containing information about joi ning the meetingAbstract: These long quarantine times got me thinking a li ttle bit about the many different faces the uncertainty principle for the Fourier transform has. We will discuss briefly a few classical results and slowly move towards uncharted territories. There will be interesting conn ections to number theory and a few other surprises along the way. This is based on a recent joint work with Oscar Quesada-Herrera (IMPA - Brazil).\n \n\n\n//indico.ictp.it/event/9389/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9389/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Singular cscK metrics DTSTART;VALUE=DATE-TIME:20200611T120000Z DTEND;VALUE=DATE-TIME:20200611T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9391@ictp.it DESCRIPTION:\n Please register in advance for this meeting:\n https://zoo m.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\n After registr ation\, you will receive a confirmation email containing information about joining the meetingAbstract: We will discuss singular constant scalar cur vature Kaehler (cscK) metrics\, which may have cone singularities and/or d egenerate somewhere. They appear naturally in several geometric problems. In this talk\, we will reminisce a little about the past development aroun d singular metrics\, and then proceed to recent progress on existence of s ingular cscK metrics.\n\n\n//indico.ictp.it/event/9391/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9391/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Symmetries in Algebraic Geometry and the Cremona Group DTSTART;VALUE=DATE-TIME:20200618T120000Z DTEND;VALUE=DATE-TIME:20200618T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9404@ictp.it DESCRIPTION:\n \n Please register in advance for this meeting:\n \n http s://zoom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\n \n Af ter registration\, you will receive a confirmation email containing inform ation about joining the meeting.\n Abstract: In this talk I will discuss s ymmetries of complex algebraic varieties. When studying a projective varie ty $X$\, one usually wants to understand its symmetries. Conversely\, the structure of the group of automorphisms of $X$ encodes relevant geometric properties of $X$. After describing some examples of automorphism groups o f projective varieties\, I will discuss why the notion of automorphism is too rigid in the scope of birational geometry. We are then led to consider another class of symmetries of $X$\, its birational self-maps. The group of birational self-maps of the projective space $\\mathbb{P}^n$ is known a s the Cremona group in dimension $n$. Describing the structure of the Crem ona group is a major problem in algebraic geometry. While the theory is we ll developed in dimension $2$\, little is known in dimension $\\geq 3$\, a nd a natural problem is to construct special subgroups of the Cremona grou p. I will present a recent work with Alessio Corti and Alex Massarenti\, w here we investigate subgroups of the Cremona group consisting of symmetrie s preserving some special meromorphic volume forms.\n\n//indico.ictp.it/ev ent/9404/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9404/ END:VEVENT BEGIN:VEVENT SUMMARY:Basic Notions Seminar on mean Curvature Flow of closed Hypersurfac es DTSTART;VALUE=DATE-TIME:20200623T140000Z DTEND;VALUE=DATE-TIME:20200623T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9380@ictp.it DESCRIPTION:\n\n\nPlease register in advance for this meeting:https://zoom .us/meeting/register/tJIqcuGgrTwqGNJluVb3_MrTApmlpnE_Nw7GAfter registering \, you will receive a confirmation email containing information about how to join the meeting.\n\n Abstract: The seminar will start with the defini tion of what is mean curvature flow of a closed hypersurface\, illustrated with some basic examples. Next\, I will recall the variational nature of the flow and some of the main well-known results\, such as Grayson theorem for the evolution of plane curves\, and Huisken convexity preserving theo rem. At the end of the seminar\, some more advanced topics will be mention ed.\n\n//indico.ictp.it/event/9380/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9380/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Singular chains on Lie groups and the Car tan relations DTSTART;VALUE=DATE-TIME:20200625T120000Z DTEND;VALUE=DATE-TIME:20200625T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9403@ictp.it DESCRIPTION:\n Please register in advance for this meeting:\n https://zoo m.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\n After registr ation\, you will receive a confirmation email containing information about joining the meetingAbstract:  Let G be a simply connected lie group. We denote by C(G) the differential graded Hopf algebra of smooth singular cha ins on G. We will explain how the category of representations of C(G) can be described infinitesimally in terms of representations of the differenti al graded Lie algebra Tg\, which is universal for the Cartan relations. We will also explain how this correspondence is related to Chern-Weil theory and higher local systems on the classifying space BG.This talk is based o n joint work with Alexander Quintero Vélez.\n\n\n//indico.ictp.it/event/9 403/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9403/ END:VEVENT BEGIN:VEVENT SUMMARY:Ergodic and thermodynamic properties of pseudo-Anosov diffeomorphi sms DTSTART;VALUE=DATE-TIME:20200630T140000Z DTEND;VALUE=DATE-TIME:20200630T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9397@ictp.it DESCRIPTION:\n Please register in advance for this meeting:https://zoom.us /meeting/register/tJYkcu6rqz4tHtQO-cRBsFcrqad-WevSbC69After registration\, you will receive a confirmation email containing information about joinin g the meetingAbstract: We discuss the thermodynamic and ergodic properties of a smooth realization of pseudo-Anosov surface homeomorphisms. In this realization\, pseudo-Anosov map is uniformly hyperbolic outside of a neigh borhood of a set of singularities\, and the trajectories are slowed down s o the differential is the identity at the singularities. Using Young tower s\, we prove existence and uniqueness of equilibrium measures for geometri c $t$-potentials. This family of equilibrium measures includes a unique sm ooth SRB measure and a measure of maximal entropy\, the latter of which ha s exponential decay of correlations and the Central Limit Theorem.\n\n//in dico.ictp.it/event/9397/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9397/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Closed Geodesics on Surfaces without Conj ugate Points DTSTART;VALUE=DATE-TIME:20200702T120000Z DTEND;VALUE=DATE-TIME:20200702T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9396@ictp.it DESCRIPTION:\n Please register in advance for this meeting:\n https://zoo m.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\n After registr ation\, you will receive a confirmation email containing information about joining the meetingAbstract: We obtain Margulis-type asymptotic estimates for the number of free homotopy classes of closed geodesics on certain ma nifolds without conjugate points. Our results cover all compact surfaces o f genus at least 2 without conjugate points. This is based on a join work with Vaughn Climenhaga and Gerhard Knieper. \n\n//indico.ictp.it/event/939 6/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9396/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Sampling\, tilings\, and quasicrystals DTSTART;VALUE=DATE-TIME:20200709T130000Z DTEND;VALUE=DATE-TIME:20200709T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9422@ictp.it DESCRIPTION:\n \n Please register in advance for this meeting:https://zoo m.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZsAfter registrati on\, you will receive a confirmation email containing information about jo ining the meeting.\n Abstract: In the first part of this talk we will expl ore the connections between the classical sampling theorem in Paley Wiener spaces and the tiling properties of the corresponding spectra. More preci sely\, we will discuss the connections with the Fuglede's theorem and the Fuglede's conjecture. In the second part\, we will talk about the role of the model sets in sampling problems. The model sets were introduced by Mey er to study approximation of algebraic characters by continuous ones in lo cally compact abelian groups. After the discovery of quasicrystals by Shec htman in the eighties\, the model sets became an important tool to describ e the diffraction patterns of these new materials.\n\n//indico.ictp.it/eve nt/9422/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9422/ END:VEVENT BEGIN:VEVENT SUMMARY:Basic Notions Seminar on Tropical Geometry DTSTART;VALUE=DATE-TIME:20200715T140000Z DTEND;VALUE=DATE-TIME:20200715T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9423@ictp.it DESCRIPTION:\n\n\n\n Please register in advance for this meeting: https:// zoom.us/meeting/register/tJctduurpzktH9zpfrBLZX5TFSMMu3ht2T0R*After regist ration\, you will receive a confirmation email containing information abou t how to join the meeting.\n\n Abstract: Tropical Geometry is said to be the combinatorial shadow of algebraic geometry\, where algebraic varieties are replaced by combinatorial objects\, whose combinatorial properties re flect the geometric properties of algebraic varieties.\nIn this talk we in tend to give an elementary introduction\, with emphasis on plane tropical curves which are piecewise linear graphs on the the real plane\, with appl ications in enumerative geometry of curves.\n\n//indico.ictp.it/event/9423 / LOCATION:Zoom Meeting URL://indico.ictp.it/event/9423/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Characterization of free boundary CMC sur faces in the ball DTSTART;VALUE=DATE-TIME:20200716T120000Z DTEND;VALUE=DATE-TIME:20200716T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9425@ictp.it DESCRIPTION:\n Please register in advance for this meeting:\n https://zoo m.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\n After registr ation\, you will receive a confirmation email containing information about joining the meetingAbstract: In the first part of this lecture\, we talk about compact stable CMC surfaces with free boundary in compact convex dom ains of the Euclidean three-space. We prove that every compact stable CMC surface with free boundary in a convex domain with boundary geometry suffi ciently close to the round two-sphere is topologically a disk or an annulu s. This fact\, together with a previous one due to Ros and Vergasta\, impl ies a complete classification of these surfaces in the unit Euclidean thre e-ball. In the last part of the lecture\, we deal with a characterization of the equatorial disk and the critical catenoid in the unit Euclidean thr ee-ball based on a pinching condition involving its second fundamental for m and support function. This last part is a joint work with Lucas Ambrozio .\n\n//indico.ictp.it/event/9425/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9425/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar "Positive solutions of sparse polynomial s ystems" DTSTART;VALUE=DATE-TIME:20200723T120000Z DTEND;VALUE=DATE-TIME:20200723T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9413@ictp.it DESCRIPTION:Please register in advance for this meeting:\n \nhttps://zoom. us/meeting/register/tJctf-qhpj4jHNa323WjE45SVMzgyiCoJcb4\n\nAfter registra tion\, you will receive a confirmation email containing information about joining the meetingAbstract: I will discuss (known and unknown) lower and upper bounds for the number of positive solutions of systems of n sparse p olynomials in n variables.\n\n//indico.ictp.it/event/9413/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9413/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Mating quadratic maps with the modular gr oup DTSTART;VALUE=DATE-TIME:20200730T140000Z DTEND;VALUE=DATE-TIME:20200730T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9430@ictp.it DESCRIPTION:\n \n Please register in advance for this meeting:https://zoo m.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZsAfter registrati on\, you will receive a confirmation email containing information about jo ining the meeting.\n Abstract: Holomorphic correspondences are polynomial relations P(z\,w)=0\, which can be regarded as multi-valued self-maps of t he Riemann sphere(implicit maps sending z to w). The iteration of such mul ti-valued map generates a dynamical system on the Riemann sphere (dynamica l system which generalise rational maps and finitely generated Kleinian gr oups). We consider a specific 1-(complex)parameter family of (2:2) corresp ondences F_a (introduced by S. Bullett and C. Penrose in 1994)\, which we describe dynamically. In particular\, we show that for every a in the conn ectedness locus M_{\\Gamma}\, this family is a mating between the modular group and rational maps in the family Per_1(1)\, and we develop for this f amily a complete dynamical theory which parallels the Douady-Hubbard theor y of quadratic polynomials. This is joint work with S. Bullett. \n\n//indi co.ictp.it/event/9430/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9430/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Modularity of some geometric objects: def initions\, reasons and state of the art DTSTART;VALUE=DATE-TIME:20200806T120000Z DTEND;VALUE=DATE-TIME:20200806T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9432@ictp.it DESCRIPTION:\n \n Register in advance for this meeting:\n\n\n \n https:/ /zoom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\n\nAfter re gistering\, you will receive a confirmation email containing information a bout joining the meeting.\n\n Abstract: In this talk we will recall the de finition of the zeta function and the L-function of some geometric objects (with special emphasis on plane projective curves). We will state their e xpected properties and their conjectural relation with some analytic funct ions. At last\, we will explain the third central object (namely Galois re presentations) and the role it plays in the previous correspondence.\n\n// indico.ictp.it/event/9432/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9432/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Mathematics Colloquium by Nigel Hitchin on "Generalizations o f Teichmüller space" DTSTART;VALUE=DATE-TIME:20200828T080000Z DTEND;VALUE=DATE-TIME:20200828T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9435@ictp.it DESCRIPTION:\n \n on the occasion of the presentation of the Spirit of Sal am Award to\n M.S. Narasimhan\n Programme:\n 10.00 Welcome and remarks by the ICTP Director\n 10.05 Reminiscences by colleagues\, students and frien ds\n 11.00 Mathematics Colloquium by Nigel Hitchin (Oxford)Registration at WEBINAR Link:\n Please register in advance for this webinar:https://zoom. us/webinar/register/WN_FS20kYEVTrKrq9bKiVNqAQ\n After registering\, you wi ll receive a confirmation email containing information about joining the w ebinar. Should you not be able to join the Webinar\, the Colloquium is als o available in live streaming at: ictp.it/livestreamAbstract: The famous t heorem of Narasimhan and Seshadri showed that the moduli space of represen tations of the fundamental group of a surface into a unitary group could b e described holomorphically in terms of stable vector bundles on an algebr aic curve. The theory of Higgs bundles extended this idea to noncompact gr oups and in particular to real forms like SL(n\,R) and in this case there is a component which is described as a space of holomorphic differentials on the curve. The special case n=2 gives classical Teichmüller space. The talk concerns approaches to the case of SL(n\,R) where n=∞\, interprete d as the group of Hamiltonian diffeomorphisms of the cotangent bundle of t he circle and leads to differential geometric questions about geodesics on surfaces.The actual presentation of the Prize will take place during the Diploma graduation ceremony\, on Thursday\, 27 August at 9:30\; see (http: //indico.ictp.it/event/9298/)\n\n//indico.ictp.it/event/9435/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9435/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Numerical criteria for the solvability of generalised Monge-Ampere equations on projective manifolds DTSTART;VALUE=DATE-TIME:20200924T120000Z DTEND;VALUE=DATE-TIME:20200924T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9445@ictp.it DESCRIPTION:\n \n Register in advance for this meeting:\n\n\n https://zoo m.us/meeting/register/tJMpf-yoqDkoGtfqr-J--H4Ql7R-eF8hQDbM\nAfter register ing\, you will receive a confirmation email containing information about j oining the meeting.\n\n Abstract: Generalised Monge-Ampere equations are a family of PDE that contain inverse Hessian equations like the J-equation \, and special cases of the deformed Hermitian-Yang-Mills equation. I shal l describe a couple of results about them. Firstly\, these equations can b e solved on projective manifolds if and only if Nakai-Moizeshon / Demailly -Paun-style intersection numbers are positive. This result improves a rece nt theorem of Gao Chen (who assumed uniform strict-positivity)\, and settl es a conjecture of Lejmi-Szkelyhidi in the projective case. Secondly\, ass uming uniform strict-positivity\, an equivariant version of the same resul t holds.\nThus\, earlier results due to Collins-Szekelyhidi are recovered. This work is joint with Ved Datar.\n\n//indico.ictp.it/event/9445/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9445/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Exotic Spheres and Singularities DTSTART;VALUE=DATE-TIME:20201008T140000Z DTEND;VALUE=DATE-TIME:20201008T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9446@ictp.it DESCRIPTION:\n \n Register in advance for this meeting:\n\n\n https://zoo m.us/meeting/register/tJwrcuuhqzspHtRXp1wiLbmEYk_EyWTBKbRm \nAfter registe ring\, you will receive a confirmation email containing information about joining the meeting.\n\n  \n\n Abstract: Milnor's fibration theorem is a landmark in singularity theory\, it allows to deepen the study of the geo metry and topology of analytic maps near their critical points. To each si ngular point of a complex hypersurface it associates a fibre bundle\, know n as the Milnor Fibration of the singularity.\n\n The birth of Milnor's Fi bration Theorem is a curious story\, since its origin is not in Singularit y Theory. It begins with the discovery by Milnor in 1956 of the first exot ic spheres": smooth 7-manifolds homeomorphic to the standard 7-sphere\, bu t with non-equivalent differentiable structures. Later\, work of some grea t  mathematicians like Brieskorn\, Jänich\, Hirzebruch and Pham\, led to the discovery of some examples of complex hypersurface singularities whos e links are exotic spheres. This motivated Milnor to determine when the li nk of a complex hypersurface singularity is a homotopy sphere\, culminatin g in his now famous book "Singular points of complex hypersurfaces". One o f the main results in this book is precisely Milnor's Fibration Theorem.\n The aim of this non-technical talk is to tell this interesting story.\n\n \n//indico.ictp.it/event/9446/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9446/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Reaction diffusion equations on evolving domains: regularity and global existence DTSTART;VALUE=DATE-TIME:20201112T130000Z DTEND;VALUE=DATE-TIME:20201112T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9475@ictp.it DESCRIPTION:\n \n Register in advance for this meeting:https://zoom.us/me eting/register/tJArdu6trjosH9dJ_bigMnqq9TwkMX3BP5g7\n After registering\, you will receive a confirmation email containing information about joinin g the meeting.\n  \n\n\n Abstract: not available.\n\n//indico.ictp.it/ev ent/9475/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9475/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Mordell Weil rank jumps and the Hilbert p roperty DTSTART;VALUE=DATE-TIME:20201119T130000Z DTEND;VALUE=DATE-TIME:20201119T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9488@ictp.it DESCRIPTION:\n \n Register in advance for this meeting:https://zoom.us/me eting/register/tJUuf--hqjwiGda-rN1XT0HXf6w7-u3UfGJJ\n After registering\, you will receive a confirmation email containing information about joinin g the meeting.\n  \n\n\n Abstract: In this talk I will discuss recent pr ogress around the variation of the Mordell-Weil rank in families of ellipt ic curves. The first part will be dedicated to give a thorough introductio n to the theme\, by motivating and discussing the state of the art. The se cond part will be dedicated to presenting a recent work joint with Dan Lou ghran (Bath). More precisely\, let X be surface endowed with a (non-consta nt) elliptic fibration with a section defined over a number field. Special ization theorems by Néron and Silverman imply that the rank of the Mordel l-Weil group of special fibers is at least equal to the MW rank of the gen eric fiber. We say that the rank jumps when the former is strictly larger than the latter. I will discuss rank jumps for elliptic surfaces fibred ov er the projective line. If the surface admits a conic bundle we show that the subset of the line for which the rank jumps is not thin in the sense o f Serre.\n\n//indico.ictp.it/event/9488/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9488/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Math Lecture Series on Dynamics of the Geodesic Flow on Surfa ces Without Conjugate Points - Lecture 1 DTSTART;VALUE=DATE-TIME:20201201T150000Z DTEND;VALUE=DATE-TIME:20201201T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9496@ictp.it DESCRIPTION:\n Lecture 1: Geometry of surfaces without conjugate points A bstract: This lecture focuses on the general geometric aspect of surfaces without conjugate points. This includes properties of such surfaces and de finition of the ideal boundary of the universal cover. We will also define the geodesic flow in this lecture.\n Kindly register in advance for these meetings (you only have to register once to attend all events): https://z oom.us/meeting/register/tJ0sd-igqjouE917PnJKgmidMHmi3lDa58se\n After regis tering\, you will receive a confirmation email containing information abou t joining the meeting.\n This lecture is to be considered as part of the ICTP Math Associates Seminars Series\, being targeted to a general audienc e. \n\n//indico.ictp.it/event/9496/ LOCATION:Zoom event URL://indico.ictp.it/event/9496/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Math Lecture Series on Dynamics of the Geodesic Flow on Surfa ces Without Conjugate Points - Lecture 2 DTSTART;VALUE=DATE-TIME:20201203T150000Z DTEND;VALUE=DATE-TIME:20201203T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9497@ictp.it DESCRIPTION:\n Lecture 2: Measure of maximal entropy via Patterson-Sulliva n measuresAbstract: : This lecture focuses more on the dynamical aspect o f the geodesic flow. We will define the measure of maximal entropy and giv e its construction via the Patterson-Sullivan measures on the ideal bounda ry.\n Kindly register in advance for these meetings (you only have to regi ster once to attend all events): https://zoom.us/meeting/register/tJ0sd-ig qjouE917PnJKgmidMHmi3lDa58se\n After registering\, you will receive a conf irmation email containing information about joining the meeting.\n This le cture is to be considered as part of the ICTP Math Associates Seminars Se ries\, being targeted to a general audience. \n\n//indico.ictp.it/event/9 497/ LOCATION:Zoom event URL://indico.ictp.it/event/9497/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Math Lecture Series on Dynamics of the Geodesic Flow on Surfa ces Without Conjugate Points - Lecture 3 DTSTART;VALUE=DATE-TIME:20201208T150000Z DTEND;VALUE=DATE-TIME:20201208T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9498@ictp.it DESCRIPTION:Lecture 3: Some statistical properties of the geodesic flowAbs tract: : In this lecture we will prove that the measure of maximal entrop y constructed above is unique and therefore ergodic. We will also prove th at the geodesic flow is mixing with respect to the measure of maximal entr opy.\nKindly register in advance for these meetings (you only have to regi ster once to attend all events): https://zoom.us/meeting/register/tJ0sd-ig qjouE917PnJKgmidMHmi3lDa58se\nAfter registering\, you will receive a confi rmation email containing information about joining the meeting.\n\n//indic o.ictp.it/event/9498/ LOCATION:Zoom event URL://indico.ictp.it/event/9498/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Mathematics Colloquium by Caucher Birkar on "Algebraic Geomet ry and Beyond" DTSTART;VALUE=DATE-TIME:20201209T153000Z DTEND;VALUE=DATE-TIME:20201209T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9508@ictp.it DESCRIPTION:\n \n \n On the occasion of the presentation of 2020 Ramanujan Prize to Carolina Araujohttp://indico.ictp.it/event/9493/\n \n \n \n Abst ract: In this talk we will discuss some fundamental aspects of algebraic g eometry and then discuss connections with some other areas.Biosketch: Cauc her Birkar is a mathematician and professor at the University of Cambridge \, UK. Birkar is an important contributor to modern birational geometry an d has received recognition for his contributions to algebraic geometry. He was awarded the Fields Medal in 2018\, "for his proof of boundedness of F ano varieties and contributions to the minimal model program".\n Birkar's research focuses on Fano varieties and singularities of linear systems and other contributions the minimal model problem. He proved several fundamen tal problems such as Shokurov's conjecture on boundedness of complements a nd the Borisov–Alexeev–Borisov conjecture on boundedness of Fano varie ties.\n Register in advance for this webinar:https://zoom.us/webinar/regi ster/WN_Gejri_kDRKan47M4-LwV7g\n After registration you will receive a co nfirmation with the link and password.\n \n Livestreaming on the day is a t: video.ictp.it/livestream\n\n\n//indico.ictp.it/event/9508/ LOCATION:Online URL://indico.ictp.it/event/9508/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Math Lecture Series on Dynamics of the Geodesic Flow on Surfa ces Without Conjugate Points - Lectures 4 and 5 DTSTART;VALUE=DATE-TIME:20201210T130000Z DTEND;VALUE=DATE-TIME:20201210T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9499@ictp.it DESCRIPTION:Lectures 4 and 5: Counting the closed geodesicsAbstract: In th ese two lectures we prove a Margulis-type asymptotic estimate for the numb er of free homotopy classes of closed geodesics. This can be seen as the p rime geodesic theorem in this setting of surfaces without conjugate points .\nKindly register in advance for these meetings (you only have to registe r once to attend all events): https://zoom.us/meeting/register/tJ0sd-igqjo uE917PnJKgmidMHmi3lDa58se\nAfter registering\, you will receive a confirma tion email containing information about joining the meeting.\n\n//indico.i ctp.it/event/9499/ LOCATION:Zoom event URL://indico.ictp.it/event/9499/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Math Seminar on Kähler Geometry: Optimal Symplectic Co nnections and Stability of Fibrations DTSTART;VALUE=DATE-TIME:20210129T130000Z DTEND;VALUE=DATE-TIME:20210129T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9539@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJ0ucuypqjorG9DEWT_unX9mtbmwHXtsw5b7\n After registering\, you will receive a confirmation email containing information about joining the meeting.\n  \n\n This talk is partly in preparation to Michael Hallam's talk on 5 February 2021 (see http://indico.ictp.it/event/9540/ for furth er details).\n\n Abstract:\n In this talk I will discuss the notions of an optimal symplectic connection and stability of fibrations. The former is a PDE for a canonical choice of fibrewise constant scalar curvature Kähle r (cscK) metric\, for a fibration whose fibres admit cscK metrics. The lat ter is a notion of algebro-geometric stability for such fibrations. The go al of the talk is to explain what these notions are\, partly in preparatio n for Michael Hallam's talk the following week. I aim to explain how the n otions arose\, and how they specialise to the Hermite-Einstein equation an d slope stability\, respectively\, for the underlying vector bundle\, when the fibration is the projectivisation of a vector bundle. I will survey s ome of the results known about these notions\, and how they are related.Th is is joint work with Ruadhaí Dervan.\n\n//indico.ictp.it/event/9539/ LOCATION:Zoom event URL://indico.ictp.it/event/9539/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Math Seminar on Kähler Geometry: Stability of Fibratio ns through Geodesic Analysis DTSTART;VALUE=DATE-TIME:20210205T130000Z DTEND;VALUE=DATE-TIME:20210205T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9540@ictp.it DESCRIPTION:\n \n Register in advance for this meeting:\n \n https://zoo m.us/meeting/register/tJ0ldOihrjgoGdDgehJGX_7Q6ttuP8VSNCRB \n \n  \n \n After registering\, you will receive a confirmation email containing inf ormation about joining the meeting.\n\nAbstract: Following Lars Sektnan's talk on optimal symplectic connections and stability of fibrations [on 29 January\, see http://indico.ictp.it/event/9539/]\, I will present new wor k in this area. The main result is that a fibration admitting an optimal s ymplectic connection is polystable with respect to a certain large class o f fibration degenerations\, which builds on a previous result obtained by Dervan and Sektnan. To prove this\, we analyse geodesics in the space of a ll fibrewise cscK (constant scalar curvature Kähler) metrics\, and show t hat a natural log-norm functional on this space is convex along geodesics. Along the way\, we use the tools developed to give a new and illuminating proof that optimal symplectic connections are unique up to automorphisms within a fixe relatively Kähler class (another result due to Dervan and S ektnan). \n\n This work is for my PhD thesis\, supervised by Ruadhaí Der van and Frances Kirwan.\n\n  \n\n//indico.ictp.it/event/9540/ LOCATION:Zoom event URL://indico.ictp.it/event/9540/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Bubbling of Q-curvature equation on 4-man ifolds in the null case DTSTART;VALUE=DATE-TIME:20210211T140000Z DTEND;VALUE=DATE-TIME:20210211T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9559@ictp.it DESCRIPTION:\n \n \n Register in advance for this meeting:\n \n http s://zoom.us/meeting/register/tJEvceyqqjgjH9Jply9iJ0AHFcaPiF5Manv- \n \n  \n \n After registering\, you will receive a confirmation email con taining information about joining the meeting.\n  \n \n\n\n Abstract:  On a closed 4-manifold\, given a smooth non-trivial function f\, the presc ribing Q-curvature equation in the null case asks to solve Pu =fe^{4u} for u\,\nwhere P is the Paneitz operator. A necessary condition for the exist ence of a solution to the equation is that f is sign-changing\; and it is well-known that this equation always admits at least one solution if\, in addition\, the total integral of f is negative. As an immediate consequenc e\, if we let f be sign-changing and\nf ≤ ε  for sufficiently small  ε\, then it turns out that a solution exists.\nIn this talk\, I will pres ent some results on the behavior of solutions to the equation if we let  ε go to zero.This is joint work with Hong Zhang (SCNU\, China).\n\n//ind ico.ictp.it/event/9559/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9559/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Detecting the completeness of a Finsler m anifold via potential theory for its infinity Laplacian DTSTART;VALUE=DATE-TIME:20210218T130000Z DTEND;VALUE=DATE-TIME:20210218T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9567@ictp.it DESCRIPTION:\n \n Register in advance for this meeting:\n \n https://zoo m.us/meeting/register/tJEofumvpzIiEtEhIVjOZtFbunjZOcsg-_bP \n \n  \n \n After registering\, you will receive a confirmation email containing inf ormation about joining the meeting.Abstract: In this talk we will present some potential-theoretic aspects of the eikonal and infinity Laplace opera tor on a Finsler manifold M. Our main result shows that the forward comple teness of M can be detected in terms of Liouville properties and maximum p rinciples at infinity for subsolutions of suitable in homogeneous inequali ties. Also\, an ∞-capacity criterion and a viscosity version of Ekelan d principle are proved to be equivalent to the forward completeness of M. Part of the proof hinges on a new boundary-to-interior Lipschitz estimate for solutions of an inhomogeneous equation for the infinity Laplacian on compact sets\, that implies a uniform Lipschitz estimate for certain entir e\, bounded solutions without requiring the completeness of M. \n Joint work with Damião J Araújo\, Luciano Mari.\n  \n\n\n\n//indico.ictp.it/ event/9567/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9567/ END:VEVENT BEGIN:VEVENT SUMMARY:Basic Notions Seminar on Fourier optimization and number theory DTSTART;VALUE=DATE-TIME:20210303T130000Z DTEND;VALUE=DATE-TIME:20210303T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9592@ictp.it DESCRIPTION:Please register in advance for this webinar:https://zoom.us/we binar/register/WN_I9MYZVdxRy-OBs1gVcUECA\nAfter registering\, you will rec eive a confirmation email containing information about joining the webinar .Abstract: This is a talk about a few problems in the interface of harmoni c analysis and analytic number theory\, some of them having the Riemann hy pothesis in the background.It is going to be a light conversation\, access ible to a broad audience.\n\n//indico.ictp.it/event/9592/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9592/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Interpolation Inequality. Explicit univer sal Estimate of finite Morse Index Solutions to polyharmonic Equation DTSTART;VALUE=DATE-TIME:20210304T130000Z DTEND;VALUE=DATE-TIME:20210304T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9582@ictp.it DESCRIPTION:\n \n Register in advance for this meeting:\n \n Meeting Reg istration - Zoom\n \n  \n \n After registering\, you will receive a con firmation email containing information about joining the meeting.Abstract:  See attached file.\n\n\n\n//indico.ictp.it/event/9582/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9582/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Arborescent versus non-Arborescent knots and links DTSTART;VALUE=DATE-TIME:20210318T130000Z DTEND;VALUE=DATE-TIME:20210318T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9606@ictp.it DESCRIPTION:\n \n Register in advance for this meeting:\n \n https://zoo m.us/meeting/register/tJwudOiorD4qH9S_BGN5RD7Z8v8TQjfrXo3o\n \n After reg istering\, you will receive a confirmation email containing information ab out joining the meeting.Abstract: \n \n I will briefly explain the compu tational methods of obtaining coloured HOMFLY-PT invariants of all arbores cent knots/links and some non-arborescent knots/links. Also\, I will brief ly discuss our attempts to distinguish mutant knots.\n \n \n  \n\n\n\n/ /indico.ictp.it/event/9606/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9606/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: The Hochschild cohomology of gentle algeb ras DTSTART;VALUE=DATE-TIME:20210401T120000Z DTEND;VALUE=DATE-TIME:20210401T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9613@ictp.it DESCRIPTION:\n \n Register in advance for this meeting:\n \n https://zoo m.us/meeting/register/tJcrduGupjIuHNHlpmH4MNOCRQQulr61w6ej\n \n  \n \n After registering\, you will receive a confirmation email containing infor mation about joining the meeting.Abstract: See attached file.\n \n \ n  \n \n \n \n\n\n\n//indico.ictp.it/event/9613/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9613/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar: Hopf-Galois Structures on separable Field Extensions DTSTART;VALUE=DATE-TIME:20210415T130000Z DTEND;VALUE=DATE-TIME:20210415T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9626@ictp.it DESCRIPTION:\n \n Register in advance for this meeting:\n \n https://zoo m.us/meeting/register/tJMqde2ppz0uH9GuZE6ndZfU9ct2qD1W-P9W\n \n  \n \n After registering\, you will receive a confirmation email containing infor mation about joining the meeting.Abstract: Hopf-Galois theory is a general ization of the classical Galois theory. The concept of Hopf-Galois extensi on is due to Chase and Sweedler [1]. They introduced it in 1969 to study p urely inseparable extensions of fields and ramified extensions of rings. T hen\, in 1987\, Greither and Pareigis [2] developed Hopf-Galois theory for separable field extensions. In the first part of this talk\, we will pres ent Hopf-Galois structures of separable field extensions by going from wel l known results within Galois theory. Then we will focus on Hopf-Galois st ructures which are minimal. All along the talk\, we will give detailed exa mples.\n \n \n References\n [1] S. U. Chase and M. E. Sweedler. Hopf Algebras and Galois Theory. Springer-Verlag\,New York/Berlin\, 1969. Lecture Notes in Mathematics\, Vol. 97.\n \n [2] C. Greither and B. Pareigis. Hopf Galois theory for separable field extensions. J.Algebra\, 1 06:239–258\, 1987.\n \n \n \n \n  \n \n \n \n\n\n\n//indi co.ictp.it/event/9626/ LOCATION:Zoom Meeting URL://indico.ictp.it/event/9626/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Math Seminar on Kähler Geometry: A decomposition formu la for J-stability and its applications DTSTART;VALUE=DATE-TIME:20210430T123000Z DTEND;VALUE=DATE-TIME:20210430T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9642@ictp.it DESCRIPTION:\n \n \n Register in advance for this meeting:\n \n https:/ /zoom.us/meeting/register/tJMvdeiurTIoG9LeSPU_FqYfs_Ie5_WgeYM6 \n \n  \n \n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: \n J-stability plays an i mportant role in K-stability and deeply related to the existence of a stat ionary solution of J-flow. Strikingly\, G. Chen\, Datar Pingali and J. Son g proved Lejmi-Szekelyhidi conjecture\, uniform J-stability and J-positivi ty are equivalent\, by differential geometric arguments recently. However\ , this fact has not been proved in algebro-geometric way before. In this t alk\, I would like to explain a decomposition formula of non-Archimedean J -functional\, the (n+1)-dimensional intersection number into n-dimensional intersection numbers and its applications to prove the conjecture for sin gular algebraic surfaces and to show that there exists a J-stable but not uniformly J-stable variety.Based on arXiv:2103.04603\n\n    \n\n//indic o.ictp.it/event/9642/ LOCATION:Zoom event URL://indico.ictp.it/event/9642/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Associates Seminar - Stable local Dynamics: Expansion\, Quasi -Conformality and Ergodicity DTSTART;VALUE=DATE-TIME:20210513T120000Z DTEND;VALUE=DATE-TIME:20210513T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9665@ictp.it DESCRIPTION:\n \n KINDLY NOTE UNUSUAL PLATFORM (Google Meet)\n To attend the seminar kindly click on the link below a few minutes before the event starts and wait until the host allows you to access.https://meet.google.c om/otj-mqpy-inq\n  Abstract: We discuss the stable ergodicity of the act ion of groups of diffeomorphisms on smooth manifolds. The existence of suc h actions is\n well-known only on one-dimensional manifolds. As a consequ ence of a new local and stable mechanism/phenomenon\, called quasi-conform al blender\, one can overcome this restriction and construct higher-dimens ional examples. In particular\, every closed manifold admits stably ergodi c finitely generated group actions by smooth diffeomorphisms. One can also prove the stable ergodicity of the natural action of a generic pair of ma trices near the identity on a sphere of arbitrary dimension.  The quasi-c onformal blender is developed in the context of pseudo-semigroup actions o f locally defined smooth diffeomorphisms and yields stable local ergodicit y in several different settings.\n  This talk is based on a joint work w ith M. Nassiri  and H. Rajabzadeh\n\n\n//indico.ictp.it/event/9665/ LOCATION:Google Meet URL://indico.ictp.it/event/9665/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP/MPIM lecture course “From 3-manifold invariants to number t heory” DTSTART;VALUE=DATE-TIME:20210618T120000Z DTEND;VALUE=DATE-TIME:20210716T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9681@ictp.it DESCRIPTION:\n Research Group: Geometry and Mathematical Physics\n Course Type: PhD Course\n Questions from topology have led to interesting number theory for many years\, a famous example being the occurrence of Bernoulli numbers in connection with stable homotopy groups and exotic spheres\, bu t some developments from the last few years have led to much deeper relati onships and to highly non-trivial ideas in number theory. The course will attempt to describe some of these new interrelationships\, which arise fro m the study of quantum invariants of knot complements and other 3-dimensio nal manifolds. [Joint work with Stavros Garoufalidis]Topics to be studied include:\n * The dilogarithm function\, the 5-term relation\, and triangul ations of 3-manifolds\n * Quantum invariants of 3-folds (Witten-Reshetikhi n-Turaev and Kashaev invariant) definitions and first properties\n * The H abiro ring (this is a really beautiful algebraic object that should be muc h better known and in which both of the above-named quantum invariants liv e)\n * Perturbative series (formal power series in h) associated to knots\ n * Turning divergent power series into actual functions (this has connect ions with resurgence theory and involves some quite fun analytic considera tions)\n * Numerical methods (the ones needed are surprisingly subtle)\n * Holomorphic functions in the upper half-plane (q-series) associated to kn ots\n * Modular properties of both the Habiro-like and of the holomorphic invariants\n These topics are all interconnected in a very beautiful way\, formally summarized at the end by a single matrix invariant having differ ent realizations in the Habiro world\, the formal power series world\, and the q-series world.\n Although some quite advanced topics will be reached or touched upon\, the course assumes no prerequisites beyond standard bas ic definitions from either topology\, number theory\, or analysis.\n To ac cess the course use the following Zoom coordinates:\n Zoom meeting ID 969 5251 6566\n Password 307018\n\n Zoom Link: https://zoom.us/j/96952516566?p wd=Z3NyZW04M2YxSHo2MWdlOHJ4MlNpUT09\n\n//indico.ictp.it/event/9681/ LOCATION:Online/Presence URL://indico.ictp.it/event/9681/ END:VEVENT BEGIN:VEVENT SUMMARY:Probability invariant measures\, dynamical partitions and hitting times of circle maps with singularities DTSTART;VALUE=DATE-TIME:20210907T123000Z DTEND;VALUE=DATE-TIME:20210907T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9699@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/upAkcOutpjgpEN8KHIr4it2Q9mc0EkRQSw\n After registering\, you wi ll receive a confirmation email containing information about joining the m eeting.Abstract: In the present talk we give the short introduction to cir cle dynamics. Also we discuss some new results in circle maps with break o r critical points.\n\n//indico.ictp.it/event/9699/ LOCATION:Online URL://indico.ictp.it/event/9699/ END:VEVENT BEGIN:VEVENT SUMMARY:Conditional Measures for the Zero Set of the Gaussian Analytic Fun ction DTSTART;VALUE=DATE-TIME:20210917T123000Z DTEND;VALUE=DATE-TIME:20210917T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9707@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJYld-CurTsrE9Gw2qPfyAeIBksOHALM_Wkw\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: Consider a random series whose entries are independent complex Gaussians with expectation zero and variance 1. The radius of conv ergence of this series is 1. The Peres-Viràg theorem gives an explicit de terminantal formula for the correlation functions of the zero set\; it tur ns out\, in particular\, that if the unit disc is considered as the Poinca ré model for the Lobachevsky plane\, then the distribution of the zero se t is invariant under Lobachevskian isometries. The main result of the talk is an explicit descriptiopn of conditional distributions of the zero set subject to the condition that the configuration is fixed in the complement of a compact set.\n\n//indico.ictp.it/event/9707/ LOCATION:Online/Presence URL://indico.ictp.it/event/9707/ END:VEVENT BEGIN:VEVENT SUMMARY:Reversible $d$-dmensional CA over the ring $\\mathbb{Z}_m$ and som e applications in ergodic theory DTSTART;VALUE=DATE-TIME:20211004T120000Z DTEND;VALUE=DATE-TIME:20211004T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9715@ictp.it DESCRIPTION:\n Please register in advance for this meeting:https://zoom.us /meeting/register/tJErfuyrpjgsH9dHOf51pTO39CvxtF9GFpw_\n After registering \, you will receive a confirmation email containing information about join ing the meeting.Abstract: In this seminar\, I will introduce the 1-dimensi onal cellular automata (or CA shortly) on the field $\\mathbf{Z}_p$ and th e ring $\\mathbf{Z}_m$\, $m\\geq 1$ integer and will give introductory inf ormation about some ergodic properties and kind of entropies of the CAs. F irstly\, I shall talk about invertibility property of 1DLCA generated line ar local rules of radius $r$ over the ring $\\mathbf{Z}_{m}$. I will provi de a short study of ergodic theory of 1D infinite linear cellular automata over the ring $\\mathbb{Z}_m$\, focusing on some ergodic properties of su ch maps with respect to the Bernoulli and Markov measures. Then\, I will e xplain the concept of entropy without going into detail. We study the meas ure theoretic entropy of 1D infinite LCA with respect to Bernoulli and Mar kov measures by means of the Kolmogorov-Sinai Theorem [Walters1982]. I wil l talk about an important numerical quantity called topological entropy of a continuous map defined on a compact metric space. By taking into accoun t the approach given by Damico et al [Damico2003]\, I will study the quant ity of topological entropy of 1D LCA $T_{f[-r\,r]}$ over the space $\\math bb{Z}_m^{\\mathbb{Z}}.$ We will investigate the directional measure-theore tic entropy of $\\mathbb{Z}^{2}$-actions generated by the shift map and 1D -CA with respect to Bernoulli and Markov measures. Finally\, we will prese nt the quantity of topological directional entropy of the $\\mathbb{Z}^{2} $-actions as similar to the algorithm defined by D’amico at al. [Damico2 003] and [Akin2009-DEnt].\n\n//indico.ictp.it/event/9715/ LOCATION:Online/Presence URL://indico.ictp.it/event/9715/ END:VEVENT BEGIN:VEVENT SUMMARY:Special Lectures "From knots to number theory" I DTSTART;VALUE=DATE-TIME:20211026T143000Z DTEND;VALUE=DATE-TIME:20211026T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9735@ictp.it DESCRIPTION:Don Zagier (ICTP Ramanujan Chair) will be giving two lectures\ , at 4:30p.m. on Tuesday 26 and Friday 29\, October 2021\, for the Institu te of the Mathematical Sciences of the Americas (IMSA). The lectures will be given in person in the Budinich Lecture Hall\, and streamed to Miami. A ll who are interested are warmly invited and even encouraged to attend in person\, since it is much nicer to give a lecture with a physical audience .\n Abstract: During the course of the last few years a number of startlin g connections between quantum invariants of knots and 3-manifolds and high -level number theory have emerged. Already the rigidity theorems of 3-dime nsional hyperbolic topology\, which have been known for many years\, had a quite non-trivial arithmetic content\, with the volume of every hyperboli c 3-manifold being linked via the dilogarithm to the so-called Bloch group and algebraic K-theory\, and another connection comes from the Kashaev in variant\, which is linked via his famous conjecture to the hyperbolic volu me but also belongs to the so-called Habiro ring\, which is a beautiful nu mber-theoretical object that is not yet well known to number theorists. Th e more recent developments that I will describe concern even deeper links to algebraic number theory (construction of non-trivial units) and algebra ic K-theory\, to a generalization of the classical Habiro ring to Habiro r ings associated to arbitrary algebraic number fields\, and above all to su rprising "quantum modularity" properties of the Kashaev invariant and its generalizations leading to a new type of object in the theory of modular f orms. All of the work that will be reported on is joint with Stavros Garou falidis\, and some of it also with Rinat Kashaev and with Peter Scholze. T he lectures are intended for a general mathematical audience and do not re quire any prior knowledge of knot theory\, K-theory\, modular forms theory \, or any other theory.\n\n//indico.ictp.it/event/9735/ LOCATION:Zoom/Presence URL://indico.ictp.it/event/9735/ END:VEVENT BEGIN:VEVENT SUMMARY:Special Lectures "From knots to number theory" II DTSTART;VALUE=DATE-TIME:20211029T143000Z DTEND;VALUE=DATE-TIME:20211029T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9736@ictp.it DESCRIPTION:Don Zagier (ICTP Ramanujan Chair) will be giving two lectures\ , at 4:30p.m. (ROME TIME) on Tuesday 26 and Friday 29\, October 2021\, for the Institute of the Mathematical Sciences of the Americas (IMSA). The le ctures will be given in person in the Budinich Lecture Hall\, and streamed to Miami. All who are interested are warmly invited and even encouraged t o attend in person\, since it is much nicer to give a lecture with a physi cal audience.\n Abstract: During the course of the last few years a number of startling connections between quantum invariants of knots and 3-manifo lds and high-level number theory have emerged. Already the rigidity theore ms of 3-dimensional hyperbolic topology\, which have been known for many y ears\, had a quite non-trivial arithmetic content\, with the volume of eve ry hyperbolic 3-manifold being linked via the dilogarithm to the so-called Bloch group and algebraic K-theory\, and another connection comes from th e Kashaev invariant\, which is linked via his famous conjecture to the hyp erbolic volume but also belongs to the so-called Habiro ring\, which is a beautiful number-theoretical object that is not yet well known to number t heorists. The more recent developments that I will describe concern even d eeper links to algebraic number theory (construction of non-trivial units) and algebraic K-theory\, to a generalization of the classical Habiro ring to Habiro rings associated to arbitrary algebraic number fields\, and abo ve all to surprising "quantum modularity" properties of the Kashaev invari ant and its generalizations leading to a new type of object in the theory of modular forms. All of the work that will be reported on is joint with S tavros Garoufalidis\, and some of it also with Rinat Kashaev and with Pete r Scholze. The lectures are intended for a general mathematical audience a nd do not require any prior knowledge of knot theory\, K-theory\, modular forms theory\, or any other theory.\n\n//indico.ictp.it/event/9736/ LOCATION:Zoom/Presence URL://indico.ictp.it/event/9736/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Analysis Seminar: Perturbations of interpolations formulas DTSTART;VALUE=DATE-TIME:20211116T130000Z DTEND;VALUE=DATE-TIME:20211116T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9743@ictp.it DESCRIPTION:\n You are invited to a Zoom meeting.\n When: Nov 16\, 2021 02 :00 PM Rome\n Please register in advance for this meeting:https://zoom.us/ meeting/register/tJAsdOioqz0sG9DNNgVR7YZSFxN3Yp6KFcuX\n After registering\ , you will receive a confirmation email containing information about joini ng the meeting.Abstract: In this talk we will discuss some problems relate d to theory of Fourier interpolation. The goal is to talk about the genera l problem of how to obtain new interpolation formulas from a previously kn own one by some perturbation argument\, and also mentions some recent deve lopments in joint work with João Pedro Ramos (ETH Zürich). This talk is meant for a broad audience with basic knowledge in analysis.\n\n//indico.i ctp.it/event/9743/ LOCATION:Oline/Presence Leonardo Building - Lecture Room D URL://indico.ictp.it/event/9743/ END:VEVENT BEGIN:VEVENT SUMMARY:Algebraic Geometry Seminar: Intrinsic Mirrors of Adjoint Orbits DTSTART;VALUE=DATE-TIME:20211124T130000Z DTEND;VALUE=DATE-TIME:20211124T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9745@ictp.it DESCRIPTION:\n Please register in advance for this meeting:https://zoom.us /meeting/register/tJIuf-6vrT4tGteS5Y9R3YRHWGEL038gp2CN\n After registering \, you will receive a confirmation email containing information about join ing the meeting.Abstract: Our work "A Lie theoretical construction of a La ndau-Ginzburg model without projective mirrors" with Barmeier\, Ballico\, Grama\, San Martin gives the example LG2 of a Symplectic Lefschetz fibrati on without projective mirrors. This means that there does not exist any pr ojective variety whose derived category of coherent sheaves is equivalent to Fuk(LG2). I will describe how to use the Gross-Siebert recipe to obtain an algebraic mirror for LG2.\n\n//indico.ictp.it/event/9745/ LOCATION:Online/Presence Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9745/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP seminar on Algebraic Geometry - Lecture Series DTSTART;VALUE=DATE-TIME:20211209T150000Z DTEND;VALUE=DATE-TIME:20211209T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9758@ictp.it DESCRIPTION:ICTP/IGAP seminar on Algebraic Geometry\n \nThe seminar will consist of lecture series by Alina Marian and by Lothar Goettsche (of whic h the abstracts are below)\, and talks by Postdocs and Faculty on their re search.\n \nToward the cohomology and Chow rings of moduli spaces of shea ves (Alina Marian)\n \nA seminar direction will examine the problem of un derstanding Lie algebra actions on the cohomology and Chow rings of moduli spaces of sheaves interms of the Chern classes of the universal sheaf. On e classical action on cohomology is the Lefschetz sl(2) associated with an ample divisor class on a projective variety. For moduli spaces of sheaves over curves and surfaces\, Grothendieck's standard conjectures are often known to hold\, in particular Lefschetz sl(2) actions should be expressibl e via algebraic correspondences. Nevertheless there are very few explicit algebraic constructions of the Lefschetz operators. Progress in this direc tion would have important applications\, not least to holomorphic symplect ic geometry\; the seminar will explain this circle of ideas.\n \n-------- -\n \nVirtual invariants of moduli spaces of sheaves on surfaces and Vafa -Witten invariants (Lothar Goettsche)\n \nAnother direction of the semina r will be virtual invariants of moduli spaces of sheaves on surfaces and V afa-Witten invariants. Moduli spaces of sheaves on surfaces with $p_g>0$ t end to be singular\, but they carry a so-called perfect obstruction theory \, which allows to define virtual versions of the standard topological inv ariants of smooth varieties\, e.g. the virtual Euler number. In 1994 Vafa and Witten gave a formula for "Euler numbers" of moduli spaces of rank 2 s heaves on surfaces. Recently a mathematical definition of these Vafa-Witte n invariants was given in arbitrary rank by Tanaka and Thomas in terms of moduli spaces of Higgs pairs. We will review the definition of these invar iants and their relation to virtual Euler numbers of moduli spaces of shea ves on surfaces\, and show computations of these invariants leading to con jectural generating functions in terms of modular functions.\n \n-------- --\n The abstract for the first talk on Thursday 9 December\, at 16:00:\n  Lothar Goettsche (ICTP)\n Virtual invariants of moduli spaces of sheave s on surfaces and Vafa-Witten invariants I\, Introduction and overview\nRe gister in advance for this meeting:https://zoom.us/meeting/register/tJ0kdu mhqT8tG9B4jZokHzs0M6Qjbd-zfBa-\nAfter registering\, you will receive a con firmation email containing information about joining the meeting.Abstract: This will be the first talk in the series of Goettsche's lectures. It is an introduction and overview of the material that will be covered in more detail in the lectures. We introduce Hilbert schemes of points\, moduli sp aces of sheaves on surfaces\, and introduce Vafa-Witten moduli spaces\, an d give an overview of results on their (virtual) Euler numbers\, related t o S-duality conjectures from Physics.\n\n//indico.ictp.it/event/9758/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9758/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Analysis Seminar: Degenerate fully nonlinear problems with fr ee boundaries: regularity of the solutions DTSTART;VALUE=DATE-TIME:20211213T130000Z DTEND;VALUE=DATE-TIME:20211213T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9759@ictp.it DESCRIPTION:\n Please register in advance for this meeting:https://zoom.us /meeting/register/tJIvc-mgqTIjHdaJNTOuZ2bX39nTFjCM0ETo\n After registering \, you will receive a confirmation email containing information about join ing the meeting.Abstract: We will discuss optimal regularity for equations with a degeneracy rate which varies in a discontinuous fashion over the d omain. Moreover\, this discontinuity depends in an implicit way on the sol ution itself. We introduce the notion of pointwise sharp regularity which requires an alternative characterization of Holder spaces. These ideas are combined with a geometric tangential analysis argument to obtain the opti mal regularity.\n\n//indico.ictp.it/event/9759/ LOCATION:Online URL://indico.ictp.it/event/9759/ END:VEVENT BEGIN:VEVENT SUMMARY:Continuous Edgeworth Expansions for Dynamical Systems DTSTART;VALUE=DATE-TIME:20211215T150000Z DTEND;VALUE=DATE-TIME:20211215T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9760@ictp.it DESCRIPTION:\n Please register in advance for this meeting:https://zoom.us /meeting/register/tJMtdeGhrTwuGdzQioVvoOM35dlwv8ct8qQA\n After registering \, you will receive a confirmation email containing information about join ing the meeting.Abstract: In this talk\, I will introduce continuous Edgew orth expansions for dynamical systems\, and discuss how they can be used t o show the consistency and the second order accuracy of a bootstrap algori thm for the asymptotic mean of Birkhoff sums. This is joint work with Nan Zou (Macquarie University).\n\n//indico.ictp.it/event/9760/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9760/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP seminar on Algebraic Geometry: The sl(2) action on the C how ring of an abelian variety DTSTART;VALUE=DATE-TIME:20220126T150000Z DTEND;VALUE=DATE-TIME:20220126T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9857@ictp.it DESCRIPTION:\n The seminar will consist of lecture series by Alina Marian and by Lothar Goettsche (of which the abstracts are below)\, and talks by Postdocs and Faculty on their research.Toward the cohomology and Chow ring s of moduli spaces of sheaves (Alina Marian)\n A seminar direction will ex amine the problem of understanding Lie algebra actions on the cohomology a nd Chow rings of moduli spaces of sheaves interms of the Chern classes of the universal sheaf. One classical action on cohomology is the Lefschetz s l(2) associated with an ample divisor class on a projective variety. For m oduli spaces of sheaves over curves and surfaces\, Grothendieck's standard conjectures are often known to hold\, in particular Lefschetz sl(2) actio ns should be expressible via algebraic correspondences. Nevertheless there are very few explicit algebraic constructions of the Lefschetz operators. Progress in this direction would have important applications\, not least to holomorphic symplectic geometry\; the seminar will explain this circle of ideas.\n\n ---------\n\n Virtual invariants of moduli spaces of sheaves on surfaces and Vafa-Witten invariants (Lothar Goettsche)\n Another direc tion of the seminar will be virtual invariants of moduli spaces of sheaves on surfaces and Vafa-Witten invariants. Moduli spaces of sheaves on surfa ces with $p_g>0$ tend to be singular\, but they carry a so-called perfect obstruction theory\, which allows to define virtual versions of the standa rd topological invariants of smooth varieties\, e.g. the virtual Euler num ber. In 1994 Vafa and Witten gave a formula for "Euler numbers" of moduli spaces of rank 2 sheaves on surfaces. Recently a mathematical definition o f these Vafa-Witten invariants was given in arbitrary rank by Tanaka and T homas in terms of moduli spaces of Higgs pairs. We will review the definit ion of these invariants and their relation to virtual Euler numbers of mod uli spaces of sheaves on surfaces\, and show computations of these invaria nts leading to conjectural generating functions in terms of modular functi ons.\n\n ----------\n\n \n The second talk on Wednesday 26 January\, at 16 :00:\n Alina Marian (Northeastern University)\n Title: The sl(2) action on the Chow ring of an abelian variety\n Register in advance for this meetin g:https://zoom.us/meeting/register/tJUvd-yurjkrGdHTTDO2mFbC5qPgxAW-B4wj\n After registering\, you will receive a confirmation email containing infor mation about joining the meeting.\n\n//indico.ictp.it/event/9857/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9857/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP seminar on Algebraic Geometry: Moduli spaces of sheaves\ , Vafa-Witten formula and virtual invariants DTSTART;VALUE=DATE-TIME:20220202T150000Z DTEND;VALUE=DATE-TIME:20220202T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9861@ictp.it DESCRIPTION:\n Please Register in advance for this meeting:https://zoom.us /meeting/register/tJUtceChpjoqGtSIFcTsOUO2mjL_M8RxHil9\n After registering \, you will receive a confirmation email containing information about join ing the meeting.Abstract:\n After the overview lecture of December\, we st art going through the material in more detail:\n  \n We introduce the Hil bert scheme of points on a surface\, define moduli spaces of stable sheave s\, and state the Vafa-Witten formula for the Euler numberts of moduli spa ces of rank 2 sheaves.   The moduli spaces of sheaves are in general si ngular\, of a dimension different from the expected dimension. We introduc e perfect obstruction theories and the virtual fundamental class. Integrat ing cohomology classes against this virtual fundamental class allows to de fine virtual versions of enumerative invariants\, which behave similar to the invariants of smooth varieties\, among them a virtual version of the E uler number.\n We conjecture that the Vafa-Witten formula computes this vi rtual Euler number.\n -------------------The seminar will consist of lectu re series by Alina Marian and by Lothar Goettsche (of which the abstracts are below)\, and talks by Postdocs and Faculty on their research.\n  \n T oward the cohomology and Chow rings of moduli spaces of sheaves (Alina Mar ian)\n  \n A seminar direction will examine the problem of understanding Lie algebra actions on the cohomology and Chow rings of moduli spaces of s heaves interms of the Chern classes of the universal sheaf. One classical action on cohomology is the Lefschetz sl(2) associated with an ample divis or class on a projective variety. For moduli spaces of sheaves over curves and surfaces\, Grothendieck's standard conjectures are often known to hol d\, in particular Lefschetz sl(2) actions should be expressible via algebr aic correspondences. Nevertheless there are very few explicit algebraic co nstructions of the Lefschetz operators. Progress in this direction would h ave important applications\, not least to holomorphic symplectic geometry\ ; the seminar will explain this circle of ideas.\n  \n ---------\n  \n V irtual invariants of moduli spaces of sheaves on surfaces and Vafa-Witten invariants (Lothar Goettsche)\n  \n Another direction of the seminar will be virtual invariants of moduli spaces of sheaves on surfaces and Vafa-Wi tten invariants. Moduli spaces of sheaves on surfaces with $p_g>0$ tend to be singular\, but they carry a so-called perfect obstruction theory\, whi ch allows to define virtual versions of the standard topological invariant s of smooth varieties\, e.g. the virtual Euler number. In 1994 Vafa and Wi tten gave a formula for "Euler numbers" of moduli spaces of rank 2 sheaves on surfaces. Recently a mathematical definition of these Vafa-Witten inva riants was given in arbitrary rank by Tanaka and Thomas in terms of moduli spaces of Higgs pairs. We will review the definition of these invariants and their relation to virtual Euler numbers of moduli spaces of sheaves on surfaces\, and show computations of these invariants leading to conjectur al generating functions in terms of modular functions.\n  \n\n//indico.ic tp.it/event/9861/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9861/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP seminar on Algebraic Geometry: Representations of the di agonal for moduli spaces of sheaves DTSTART;VALUE=DATE-TIME:20220209T150000Z DTEND;VALUE=DATE-TIME:20220209T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9868@ictp.it DESCRIPTION:\n Please Register in advance for this meeting:https://zoom.us /meeting/register/tJwsf-6vrzMvGtO8WGt0fydElasfiUYlnMB7\n After registering \, you will receive a confirmation email containing information about join ing the meeting.Abstract: I will first complete the discussion of the SL ( 2) action on the Chow ring of an abelian variety from last time\, drawing a few beautiful conclusions. In the second part of the lecture\, I will st art to discuss the Chow class of the diagonal in moduli-theoretic settings .\n ----------------------------The seminar will consist of lecture series by Alina Marian and by Lothar Goettsche (of which the abstracts are below )\, and talks by Postdocs and Faculty on their research.\n  \n Toward the cohomology and Chow rings of moduli spaces of sheaves (Alina Marian)\n   \n A seminar direction will examine the problem of understanding Lie algeb ra actions on the cohomology and Chow rings of moduli spaces of sheaves in terms of the Chern classes of the universal sheaf. One classical action on cohomology is the Lefschetz sl(2) associated with an ample divisor class on a projective variety. For moduli spaces of sheaves over curves and surf aces\, Grothendieck's standard conjectures are often known to hold\, in pa rticular Lefschetz sl(2) actions should be expressible via algebraic corre spondences. Nevertheless there are very few explicit algebraic constructio ns of the Lefschetz operators. Progress in this direction would have impor tant applications\, not least to holomorphic symplectic geometry\; the sem inar will explain this circle of ideas.\n  \n ---------\n  \n Virtual in variants of moduli spaces of sheaves on surfaces and Vafa-Witten invariant s (Lothar Goettsche)\n  \n Another direction of the seminar will be virtu al invariants of moduli spaces of sheaves on surfaces and Vafa-Witten inva riants. Moduli spaces of sheaves on surfaces with $p_g>0$ tend to be singu lar\, but they carry a so-called perfect obstruction theory\, which allows to define virtual versions of the standard topological invariants of smoo th varieties\, e.g. the virtual Euler number. In 1994 Vafa and Witten gave a formula for "Euler numbers" of moduli spaces of rank 2 sheaves on surfa ces. Recently a mathematical definition of these Vafa-Witten invariants wa s given in arbitrary rank by Tanaka and Thomas in terms of moduli spaces o f Higgs pairs. We will review the definition of these invariants and their relation to virtual Euler numbers of moduli spaces of sheaves on surfaces \, and show computations of these invariants leading to conjectural genera ting functions in terms of modular functions.\n  \n\n//indico.ictp.it/eve nt/9868/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9868/ END:VEVENT BEGIN:VEVENT SUMMARY:SISSA/IGAP Lecture on "Standard and less standard asymptotic metho ds" DTSTART;VALUE=DATE-TIME:20220215T150000Z DTEND;VALUE=DATE-TIME:20220323T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9872@ictp.it DESCRIPTION:\n \n Lecturer: Don Zagier\n\n\n \n Course Type: SISSA PhD C ourse\n\n\n \n Academic Year: 2021-2022\n\n\n \n Period: mid February to mid March 2022\n \n Research Group: SISSA-Geometry and Mathematical Physics\n \n \n\n\n \n Duration: 20 h\n Register in advance for this m eeting:https://unesco-org.zoom.us/meeting/register/tJUvcO2qqDgtGtMYJCHfEtI ForecwtoJIK4rYou will receive a confirmation email containing information about joining the meeting.\n Description: \n In every branch of mathemat ics\, one is sometimes confronted with the problem of evaluating an infini te sum numerically and trying to guess its exact value\, or of recognizing the precise asymptotic law of  formation of a sequence of numbers {A_n} of which one knows\, for  instance\, the first couple of hundred values.   The course will tell a number of ways to study both problems\, some rel atively standard (like the Euler-Maclaurin formula and its variants) and s ome much  less so\, with lots of examples.   Here are three typical exa mples: 1. The slowly convergent sum  sum_{j=0}^\\infty (\\binom{j+4/3}{j} )^{-4/3}   arose in the work of a colleague.  Evaluate it to 250 decima l digits. 2.  Expand the infinite sum  \\sum_{n=0}^\\infty (1-q)(1-q^2). ..(1-q^n) as  \\sum A_n (1-q)^n\, with first coefficients 1\, 1\, 2\, 5\, 15\, 53\, ... Show numerically that  A_n  is asymptotic to  n! * a * n ^b * c  for some real constants a\, b and c\, evaluate all three to high precision\, and recognize their exact values. 3.  The infinite series  H (x) = \\sum_{k=1}^\\infty sin(x/k)/k  converges for every complex number x.  Compute this series to high accuracy when x is a large real number\, so that the series is highly oscillatory.\n\n\n \n \n \n \n Next lecture:\n 12 Wed 23-Mar 14.00 - 15.30\n \n \n \n\n\n//indico.ictp .it/event/9872/ LOCATION:Online Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/9872/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP seminar on Algebraic Geometry: Refined invariants and Va fa-Witten invariants DTSTART;VALUE=DATE-TIME:20220216T150000Z DTEND;VALUE=DATE-TIME:20220216T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9877@ictp.it DESCRIPTION:\n Online\n Please Register in advance for this meeting:https: //zoom.us/meeting/register/tJMpcOytrDooH9Sk3Bb3_FcxTLG_Wb1G_OhS\n After re gistering\, you will receive a confirmation email containing information a bout joining the meeting.\n Presence\n ICTP Leonardo Da Vinci Building - B udinich Lecture Hall (only if provided with a green pass)\n Abstract: In t he last lecture we introduced moduli spaces of sheaves on surface and then defined perfect obstruction theories and virtual invariants. We start thi s lecture by applying this to define the virtual Euler numbers of moduli s paces of sheaves\, and their refinement by the virtual chi_y-genus. We wil l then introduce the moduli space of Higgs pairs and use it to define Vafa -Witten invariants. This also requires a review of localization and virtua l localization with respect to $C^*$-actions.\n\n//indico.ictp.it/event/98 77/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9877/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Algebraic Geometry Seminar on "Hilbert schemes of points and quasi-modular forms" DTSTART;VALUE=DATE-TIME:20220224T130000Z DTEND;VALUE=DATE-TIME:20220224T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9898@ictp.it DESCRIPTION:Register in advance for this meeting:https://zoom.us/meeting/r egister/tJclcuygpjwiHdfzcn1dqtnv9hXQPHi3qFDd\nAfter registering\, you will receive a confirmation email containing information about joining the mee ting.\n Abstract: Nekrasov correlators are intersection numbers of Chern c lasses against descendents on the Hilbert scheme of points on a surface. F or K3 surfaces these integrals are expected to have quasi-modular behaviou r. I will first explain how to explicitly compute the simplest of these co rrelators using ideas of Ellingsrud-Goettsche-Lehn\, and then what can be said about quasi-modularity more generally. The first part is joint work w ith Cao and Toda.\n\n//indico.ictp.it/event/9898/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9898/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP Algebraic Geometry seminar on "Localization and virtual localization\, and Vafa-Witten generating function" DTSTART;VALUE=DATE-TIME:20220302T150000Z DTEND;VALUE=DATE-TIME:20220302T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9906@ictp.it DESCRIPTION:hybrid seminar\nRegister in advance for this meeting:https://z oom.us/meeting/register/tJcvdOCuqDIoH9xPSv9b8G-Yf_J_K4BSm9Ji\nAfter regist ering\, you will receive a confirmation email containing information about joining the meeting.\n Abstract:\n We define Vafa-Witten invariants via f ormal virtual localization. First we review localization and virtual local ization with respect to $C^*$-actions. We describe the fixpoint locus of t he $C^*$ action on the Vafa-Witten moduli space\, and its decomposition in to components corresponding to the partitions of the rank r.\n We introduc e the Vafa-Witten generating function\, and its decomposition correspondin g to the components of the fix point locus. In particular we have the hori zontal component\, corresponding to the partition (r)\, which is the modul i space of stable sheaves\, and the vertical component\, corresponding to the partition (1\,..\,1). We show that the contribution to the horizontal component to the VW invariants is the virtual Euler number of the moduli s pace of sheaves.\n We state the Vafa-Witten predictions for the modularity of the Vafa-Witten generating function.\n\n//indico.ictp.it/event/9906/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9906/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP Seminar on "Representations of the diagonal and the coho mology rings of Quot schemes" DTSTART;VALUE=DATE-TIME:20220309T150000Z DTEND;VALUE=DATE-TIME:20220309T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9909@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJIkfuigrDksH9wQ7sM38byzs7z7qGuQAUcE\n After registering\, you will receive a confirmation email containing information about joining the meeting.\n  \n\n Abstract: I will continue to describe the class of the diagonal in a few important moduli settings. Building on this\, I will dis cuss aspects of the cohomology ring structure of punctual Quot schemes -- a more accessible case.\n\n//indico.ictp.it/event/9909/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9909/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP Algebraic Geometry Seminar on "Vertical Vafa-Witten inva riants" DTSTART;VALUE=DATE-TIME:20220316T150000Z DTEND;VALUE=DATE-TIME:20220316T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9913@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJIkfuuprjgjGNcgVmSaMlPCelgrDAqtiUSK\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: We describe the components corresponding of the fixpoin t locus on the Vafa-Witten moduli space.\n We introduce the Vafa-Witten ge nerating function\, and its decomposition corresponding to the components of the fixpoint locus. In particular we have the horizontal component\, co rresponding to the partition (r)\, which is the moduli space of stable she aves\, and the vertical component\, corresponding to the partition (1\,..\ ,1).\n We show that the contribution to the horizontal component to the VW invariants is the virtual Euler number of the moduli space of sheaves.\n We state the Vafa-Witten predictions for the modularity of the Vafa-Witten generating function.\n We state the structure theorem of Laaracker for th e vertical Vafa-Witten invariants\, and give conjectural formulas for the vertical Vafa-Witten invariants.\n Finally we conjecture an analogue of La aracker's structure theorem also for the horizontal invariants.\n\n//indic o.ictp.it/event/9913/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9913/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP Algebraic Geometry Seminar on "On the cohomology of Quot schemes parametrizing torsion quotients on a smooth curve" DTSTART;VALUE=DATE-TIME:20220330T140000Z DTEND;VALUE=DATE-TIME:20220330T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9922@ictp.it DESCRIPTION:Register in advance for this meeting:https://zoom.us/meeting/r egister/tJcqduysqDIiHtBoh4yv-M_sL_FtUKINno3s\nAfter registering\, you will receive a confirmation email containing information about joining the mee ting.\n\n//indico.ictp.it/event/9922/ LOCATION: Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/9922/ END:VEVENT BEGIN:VEVENT SUMMARY:Seminar on "Introduction to topological recursion" DTSTART;VALUE=DATE-TIME:20220405T120000Z DTEND;VALUE=DATE-TIME:20220405T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9927@ictp.it DESCRIPTION:Register in advance for this meeting:https://zoom.us/meeting/r egister/tJAoduypqjIrGd1zt0seteAddjboiLQrC-8s\nAfter registering\, you will receive a confirmation email containing information about joining the mee ting.\n\n//indico.ictp.it/event/9927/ LOCATION:Online Leonardo Building - Lecture Room D URL://indico.ictp.it/event/9927/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP Algebraic Geometry Seminar on "Vertical Vafa-Witten inva riants and nested Hilbert schemes" DTSTART;VALUE=DATE-TIME:20220406T140000Z DTEND;VALUE=DATE-TIME:20220406T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9928@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJMvde2vqj8vGdSw7PIRCRk0qCAQ17hkaDQr\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: We state the structure theorem of Laarakker for the ver tical Vafa-Witten invariants of a projective surface S. We introduce neste d Hilbert schemes (an incidence variety in products of Hilbert schemes of points and curves on the surface S)\, and their relation to vertical compo nents of Vafa-Witten moduli spaces. We describe how the vertical Vafa-Witt en invariants can be computed in terms of nested Hilbert schemes. We sketc h the proof of Laarakker's structure theorem.\n\n//indico.ictp.it/event/99 28/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9928/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP Algebraic Geometry Seminar "Computation of vertical Vafa -Witten invariants" DTSTART;VALUE=DATE-TIME:20220422T120000Z DTEND;VALUE=DATE-TIME:20220422T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9936@ictp.it DESCRIPTION:Register in advance for this meeting:https://zoom.us/meeting/r egister/tJEpfuCvpjguHdKtzcES0xzHegVySNQN0hC3 \nAfter registering\, you wil l receive a confirmation email containing information about joining the me eting.Abstract: Last time we introduced nested Hilbert schemes and how one can express vertical Vafa-Witten as intersection numbers on nested Hilber t schemes.\nAfter reviewing this we will  the sketch of proof of Laarakke r's structure theorem for the vertical Vafa-Witten invariants\, expressing them in terms of universal generating functions and Seiberg-Witten invari ants. The proof uses the cobordism invariants of intersection numbers on H ilbert schemes of points.\nThen we will show how one can use this to expli citely determine the generating function for the Vertical-Vafa-Witten inva riants\, by first reducing to the case of toric surfaces and then localizi ng on Hilbert schemes of points on toric surfaces.\n In the remaining two (2) lectures we will\n (1) finish explaining the ingrediends of this  c omputation\, and present the formulas for the vertical-Vafa-Witten invaria nts\, in terms of modular forms\n (2) state Mochizuki's formula for compu ting the horizontal Vafa-Witten invariants and use it to compute horizonta l Vafa-Witten invariants.\n Previous Lecture held on 6th of April:\n \nT itle: Vertical Vafa-Witten invariants and nested Hilbert schemes\n Abstra ct: We state the structure theorem of Laarakker for the vertical Vafa-Witt en invariants of a projective surface S. We introduce nested Hilbert schem es (an incidence variety in products of Hilbert schemes of points and curv es on the surface S)\, and their relation to vertical components of Vafa-W itten moduli spaces.\nWe describe how the vertical Vafa-Witten invariants can be computed in terms of nested Hilbert schemes. We sketch the proof of Laarakker's structure theorem.\n\n//indico.ictp.it/event/9936/ LOCATION:Online Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/9936/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP seminar on Algebraic Geometry "Computation of the vertic al Vafa-Witten invariants II: localization on Hilbert schemes of points" DTSTART;VALUE=DATE-TIME:20220504T140000Z DTEND;VALUE=DATE-TIME:20220504T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9943@ictp.it DESCRIPTION:\n PRESENCE: ICTP Leonardo Da Vinci Building\,  Luigi Stasi L ecture Room\n ONLINE:\n Register in advance for this meeting:https://zoom. us/meeting/register/tJEtd-GvqjorE9BtDAqiw4qFvW-xmtQQ0wOO\n After registeri ng\, you will receive a confirmation email containing information about jo ining the meeting.Abstract: Last time we used nested Hilbert schemes to ex press vertical Vafa-Witten invariants of a surface S in terms of (unknown) universal power series\, which are generating functions for intersection numbers on Hilbert schemes of points on S. In this lecture we will reduce to the case that the surface S is toric\, and then explain how to explicit ly compute the generating functions via localization. We will present the formulas obtained. Next time we will sketch how to use Mochizuki's formula to do the same for the horizontal Vafa-Witten invariants.\n\n//indico.ict p.it/event/9943/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9943/ END:VEVENT BEGIN:VEVENT SUMMARY:Regularity properties of Brjuno and Wilton functions DTSTART;VALUE=DATE-TIME:20220504T120000Z DTEND;VALUE=DATE-TIME:20220504T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9945@ictp.it DESCRIPTION:\n Abstract: An irrational number is called a Brjuno number if the sum of the series of log(q_{n+1})/q_n converges\, where q_n is the de nominator of the n-th principal convergent of the regular continued fracti on. The importance of Brjuno numbers comes from the study of analytic smal l divisors problems in dimension one. In 1988\, J.-C. Yoccoz introduced th e Brjuno function which characterizes the Brjuno numbers to estimate the s ize of Siegel disks.\n In this talk\, at first\, we consider the k-Brjuno functions and the Wilton function which are related to the classical Brjun o function. We study their BMO (Bounded Mean Oscillation) regularity prope rties. Then we complexify the functional equations which they fulfill and we construct analytic extensions of the k-Brjuno and of the Wilton functio n to the upper half-plane. This is joint work with Stefano Marmi\, Izabela Petrykiewicz\, and Tanja I. Schindler.\n Secondly\, we introduce Brjuno-t ype functions associated with by-excess (backward)\, odd\, even and odd-od d continued fractions. We see that the Brjuno numbers are characterized by the Brjuno-type functions. Then we deal with their Holder continuity prop erties. This is joint work with Stefano Marmi. \n\n//indico.ictp.it/event/ 9945/ LOCATION:ICTP Leonardo Building - Lecture Room D URL://indico.ictp.it/event/9945/ END:VEVENT BEGIN:VEVENT SUMMARY:On the connection between the Hardy and L^2-Cowling--Price Gaussia n space-frequency spaces in the subcritical case DTSTART;VALUE=DATE-TIME:20220510T140000Z DTEND;VALUE=DATE-TIME:20220510T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9947@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJYvc-ihrzgvEtAoOzwRBxd2DGFnUhpNA45O\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: We will discuss a relation between the classes of Schwa rtz functions present in Cowling-Price's and Hardy's uncertainty principle : they are almost-equivalent. We also discuss on an endpoint conjecture ve rsion of our main result\, exhibiting particular classes where it holds\, and present applications of our main theorem\, making connections with the recent machinery of Escauriaza-Kenig-Ponce-Vega and with bounds on pointw ise Gaussian decay of solutions to harmonic oscillators\, settling a conje cture of Vemuri in all but a discrete set of times. Joint work with João Pedro Ramos (ETH) and Aleksei Kulikov (NTNU).\n\n//indico.ictp.it/event/99 47/ LOCATION:Online and in Presence Leonardo Building - Luigi Stasi Seminar Ro om URL://indico.ictp.it/event/9947/ END:VEVENT BEGIN:VEVENT SUMMARY:A closed exact category of quasi-coherent sheaves on formal scheme s DTSTART;VALUE=DATE-TIME:20220511T120000Z DTEND;VALUE=DATE-TIME:20220511T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9948@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJYocuyqrjwrGdzQVfkOQzaUcUKJBfDbGnfw\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: Modeled on the book project https://arxiv.org/abs/math/ 0409584 of Gabber and Ramero\, we propose a category of topological sheave s on a not-necessarily noetherian formal scheme which is Quillen-exact\, c losed symmetric monoidal\, and admits cokernels and images. Unless the sch eme is affine\, the category does not admit kernels. We show that the corr esponding (topological) cohomology may be calculated by Cech methods.\n\n/ /indico.ictp.it/event/9948/ LOCATION:Online and in Presence Leonardo Building - Luigi Stasi Seminar Ro om URL://indico.ictp.it/event/9948/ END:VEVENT BEGIN:VEVENT SUMMARY:Theory of weights in rooted k-trees DTSTART;VALUE=DATE-TIME:20220517T140000Z DTEND;VALUE=DATE-TIME:20220517T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9960@ictp.it DESCRIPTION:Register in advance for this meeting:https://zoom.us/meeting/r egister/tJ0pfuirrjsoHNaP9S-AAAGJitkguz5r_2mG\n After registering\, you wi ll receive a confirmation email containing information about joining the m eeting.Abstract: In this talk we will discuss weighted endpoint estimates for the Hardy-Littlewood maximal function on the infinite rooted $k$-ary t ree. Namely\, we will show a variant of the Fefferman-Stein estimate with respect to the weights $(w\, M_{s}w)$. Moreover\, it is shown it is sharp\ , in the sense that it does not hold in general if $s=1$. This result is a generalization of the unweighted case ($w\\equiv1$) independently obtaine d by Naor-Tao and Cowling-Meda-Setti. We will also present more general su fficient conditions for the strong estimates in the case $p>1$.This talk i s based on joint works with Israel Rivera-Ríos (UNS&UMA) and Martíin Saf e (UNS). \n\n//indico.ictp.it/event/9960/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9960/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP Algebraic Geometry Seminar: Mochizuki's formula and the horizontal Vafa-Witten invariants DTSTART;VALUE=DATE-TIME:20220518T143000Z DTEND;VALUE=DATE-TIME:20220518T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9961@ictp.it DESCRIPTION:Register in advance for this meeting:https://zoom.us/meeting/r egister/tJAldOuoqTkiEtDRPyfZcKmD4WXPD29fNcow\nAfter registering\, you will receive a confirmation email containing information about joining the mee ting.\n Abstract: In this lecture compute the horizontal Vafa-Witten invar iants\, by using Mochizuki's formula\, which allows to reduce the computat ion to Hilbert schemes of points.\n Then one can localization in a very si milar way as for the vertical Vafa-Witten invariants. This computation con firms some of the predictions of S-duality in ranks 2 and 3.\n Furthermore \, combining with the computations of $S$-duality we predict the generatin g functions for the horizontal Vafa-Witten invariants in rank at most 5.\n \n//indico.ictp.it/event/9961/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9961/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Analysis Seminar: Fully nonlinear free transmission problems DTSTART;VALUE=DATE-TIME:20220524T140000Z DTEND;VALUE=DATE-TIME:20220524T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9964@ictp.it DESCRIPTION:Register in advance for this meeting:https://zoom.us/meeting/r egister/tJIoduGvrzwqG9Bm5jtdLWo2pwurGgvSvq3W\nAfter registering\, you will receive a confirmation email containing information about joining the mee ting.\n Abstract: We consider a discontinuous\, fully nonlinear elliptic o perator\, perhaps degenerate\, whose discontinuities depend on the solutio ns. Such dependence frames the model in the context of free boundary probl ems. We discuss the optimal regularity of solutions and prove the existenc e of viscosity solutions to this problem. We plan to detail conditions und er which strong solutions exist in the uniformly elliptic setting. We clos e the talk with comments on further directions of research and related pro blems we have grown fond of recently.\n\n//indico.ictp.it/event/9964/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9964/ END:VEVENT BEGIN:VEVENT SUMMARY:Entropy formula for systems with inducing schemes DTSTART;VALUE=DATE-TIME:20220527T140000Z DTEND;VALUE=DATE-TIME:20220527T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9966@ictp.it DESCRIPTION:Register in advance for this meeting:https://zoom.us/meeting/r egister/tJwld-GgrDorH9BCCBGm_H5AH0yAtz3DWcD5\nAfter registering\, you will receive a confirmation email containing information about joining the mee ting.\n Abstract: We show that the Pesin entropy formula holds for Sinai-R uelle-Bowen (SRB) measures given by inducing schemes\, whenever the entrop y of that measure is finite. We apply this result to some classes of dynam ical systems with singular sets for which the classical results by Ruelle and Pesin cannot be applied. We also present an example of a system with a n SRB measure given by an inducing scheme for which Ruelle inequality does not hold.\n\n//indico.ictp.it/event/9966/ LOCATION:Online Leonardo Building - Lecture Room D URL://indico.ictp.it/event/9966/ END:VEVENT BEGIN:VEVENT SUMMARY:On Birch–Swinnerton-Dyer volumes for Calabi-Yau motives DTSTART;VALUE=DATE-TIME:20220527T090000Z DTEND;VALUE=DATE-TIME:20220527T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9967@ictp.it DESCRIPTION:Online:Register in advance for this meeting:https://zoom.us/me eting/register/tJ0rfuCtrj0tHNJ7_lKgOa9GHdCmcZ3N643D\nAfter registering\, y ou will receive a confirmation email containing information about joining the meeting.\n Abstract: I'll start by discussing briefly the arithmetic o f rank 4 weight 3 Calabi-Yau motives. Biextension periods will be introduc ed for certain hypergeometric motives and compared numerically to the firs t derivative of their L-functions at s=2.\n\n//indico.ictp.it/event/9967/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9967/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Analysis Seminar: Regularity for Supersolutions to Fully Nonl inear PDEs Under Convexity Assumptions DTSTART;VALUE=DATE-TIME:20220527T120000Z DTEND;VALUE=DATE-TIME:20220527T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9970@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJEqceqsrz4tGdyQv7vRZmohbrYVVbmQLLwx\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: In this talk\, we discuss some sharp regularity results related to supersolutions to fully nonlinear equations that enjoy some co nvexity property. If time allows\, some recent and ongoing results will be discussed. This is joint work with Alessio Figalli (ETH-Zurich) and J. Ed erson Braga (UFC) and more recently with Prof. Edgard Pimentel (University of Coimbra\, Portugal). \n\n//indico.ictp.it/event/9970/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9970/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Algebraic Geometry Seminar: Elliptic Trace Map on Chiral Alge bras DTSTART;VALUE=DATE-TIME:20220615T140000Z DTEND;VALUE=DATE-TIME:20220615T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9978@ictp.it DESCRIPTION:Register in advance for this meeting:https://zoom.us/meeting/r egister/tJEqcO6orTwrGdbyt3Z8bbREy1FJETa-8yKS\nAfter registering\, you will receive a confirmation email containing information about joining the mee ting.\n Abstract. Trace map on deformation quantized algebra leads to the algebraic index theorem. We investigate a two-dimensional chiral analogue of the algebraic index theorem via the theory of chiral algebras developed by Beilinson and Drinfeld. We construct a trace map on the elliptic chira l homology of the free beta gamma-bc system using the BV quantization fram ework. As an example\, we compute the trace evaluated on the unit constant chiral chain and obtain the formal Witten genus in the Lie algebra cohomo logy. This talk is based on joint work with Si Li.\n\n//indico.ictp.it/eve nt/9978/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9978/ END:VEVENT BEGIN:VEVENT SUMMARY:Superposition and Orthogonality\, from Polynomials to Wavelets DTSTART;VALUE=DATE-TIME:20220616T140000Z DTEND;VALUE=DATE-TIME:20220616T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9975@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJMqcOiqqjsoH9zWTSo57lbxrtAGEhtfexB7\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: Over three centuries\, the approximation of functions b y linear superposition has evolved from polynomials to wavelet Fourier ser ies. We will survey some of these methods and examine how desirable featur es beyond ease of computation have been introduced. We will see how Haar a nd Daubechies developed special bases with prescribed features that could be adapted to particular approximation problems. Some applications include image compression and de-noising.\n\n//indico.ictp.it/event/9975/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9975/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Mathematics Colloquium on "More deformations of the cohomolog y ring of the moduli space of representations of the fundamental group of a surface coming from instantons" DTSTART;VALUE=DATE-TIME:20220628T140000Z DTEND;VALUE=DATE-TIME:20220628T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-9990@ictp.it DESCRIPTION:\n Please register in advance for this meeting:https://zoom.us /meeting/register/tJAqduyrpzwpEtyvxs7BmUa-pWVA-CVOyBnW\n After registering \, you will receive a confirmation email containing information about join ing the meeting.\n This special ICTP Math Colloquium will be given by Prof . Tomasz Mrowka. The talk on "More deformations of the cohomology ring of the moduli space of representations of the fundamental group of a surface coming from instantons" will take place in the Luigi Stasi Lecture Room\, on Tuesday 28 June at 16.00 hrs and will be followed by light refreshments .\n  \n\n Tomasz Mrowka is Professor of Mathematics. A graduate of MIT\, he received the Ph.D. from U.C. Berkeley in 1988 under the direction of Cl ifford Taubes and Robin Kirby. He joined the MIT mathematics faculty as pr ofessor in 1996\, following faculty appointments at Stanford and at Caltec h (professor 1994-96). Mrowka's research interests focus on problems in di fferential geometry and gauge theory. In 2007 he received the Veblen Prize in Geometry by the AMS\, jointly with Peter Kronheimer\, "for their joint contributions to both three- and four- dimensional topology through the d evelopment of deep analytical techniques and applications." Their book\, M onopoles and Three Manifolds (Cambridge University Press) also garnered th e 2011 Joseph Doob Prize of the AMS. He was appointed Singer Professor of Mathematics from 2007 to 2017. In 2018 he gave a plenary address at ICM18 in Rio de Janeiro. He is a Fellow of the American Academy of Arts & Scienc es (2007) and Member of the National Academy of Sciences (2015).Abstract: The space of (conjugacy classes of) representations of the fundamental gro up of Riemann surface (sometime with punctures) into SU(2) (and other Lie groups) has been the focus of study in mathematics and physics for many ye ars. Besides having a concrete topological description these spaces have o ther incarnations.\n • In algebraic geometry as moduli spaces of certain stable rank 2 holomorphic vector bundles.\n • In differential geometry as moduli spaces of flat connections in a principal bundle over the Rieman n surface.\n • In physics as the critical points of the Yang-Mills funct ional on connections in a principal bundle over the Riemann surface.\n The re is a rich story describing the cohomology rings of these spaces in Inst anton Floer homology (as does quantum cohomology) provides natural deforma tions of these ring structures. When the surface has punctures these defor mations coming in families that appear at first hard to describe. This tal k with review some of the history of this story. Each of the incarnations of the representation space play an important role as evidenced by the lar ge and varied group of mathematicians and physicists that have contributed to the this study over the years. At the end some we’ll give some hints at some of the ideas behind computing these further families of deformati ons.Light refreshments will be served. All are welcome to attend.\n\n//ind ico.ictp.it/event/9990/ LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/9990/ END:VEVENT BEGIN:VEVENT SUMMARY:Polynomial mixing for measure of maximal entropy on dispersing bil liard maps DTSTART;VALUE=DATE-TIME:20220706T140000Z DTEND;VALUE=DATE-TIME:20220706T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10003@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJYudemsrT0pGN38jEqku5kaMr5wecyoOEZn\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: Usually measures of maximal entropy are exponentially m ixing\, but maybe they aren’t for dispersing billiards\, no one knows wh at is really going on. We prove a polynomial mixing rate and we think that it is either optimal or suboptimal. More taxpayers money is urgently need ed to fund travel and coffee. This is a joint work with Mark Demers.\n\n// indico.ictp.it/event/10003/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10003/ END:VEVENT BEGIN:VEVENT SUMMARY:Probabilistic potential theory for dynamical systems DTSTART;VALUE=DATE-TIME:20220707T140000Z DTEND;VALUE=DATE-TIME:20220707T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10004@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJIlc-ysqDooHNBsuerJh6gHICViOSjgR8YL\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: Probabilistic potential theory relates Markov chains an d harmonic functions. It offers the tools to compute\, for instance\, the probability that a random walk hits a specified target before another\; or \, thinking in terms of open systems\, that the walk leaves the space at a specified point.\n We adapt those results to dynamical systems. Our aim i s to estimate\, in a spatially periodic hyperbolic system\, the probabilit y of hitting a specified target before another. This work involves tools f rom potential theory (specifically\, a balayage identity)\, transfer opera tors with spectral degeneracies\, and perturbative arguments.\n\n//indico. ictp.it/event/10004/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10004/ END:VEVENT BEGIN:VEVENT SUMMARY:Course on "On representations of Affine Lie superalgebras" DTSTART;VALUE=DATE-TIME:20220725T080000Z DTEND;VALUE=DATE-TIME:20220729T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10017@ictp.it DESCRIPTION:\n Topic: CIMPA ICTP Math Seminars\n Time: This is a recurring meeting\n Join Zoom Meetinghttps://zoom.us/j/97998787424?pwd=U2thSWsvRXZj ZnV5LzF1Y1lPMGltZz09\nThe timetable is as follows:Monday\, 25 July: 10.00 - 12.00Afternoon:14.00 - 16.00Tuesday\, 26 July: 10.00 - 12.00Wednesday\, 27 July: 10.00 - 12.00Thursday\, 28 July: 10.00 - 12.00Friday\, 29 July: 1 0.00 - 12.00\n Abstract: In this series of lectures\, we start with an int roduction to Lie algebras and their representations. Then\, we define Lie superalgebras and as an example\, we introduce affine Lie superalgebras. F inally\, we provide some information regarding classification of represent ations over affine Lie superalgebras. \n\n//indico.ictp.it/event/10017/ LOCATION:Online Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/10017/ END:VEVENT BEGIN:VEVENT SUMMARY:Extending tight closure to characteristic 0 and open questions in all characteristics DTSTART;VALUE=DATE-TIME:20220725T140000Z DTEND;VALUE=DATE-TIME:20220725T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10019@ictp.it DESCRIPTION:\n Please register in advance for this meeting:https://zoom.us /meeting/register/tJMkce2vqj0sGNaXfO-N3gRHJg9jz3-LU9q6\n After registering \, you will receive a confirmation email containing information about join ing the meeting.Abstract: We will give a quick introduction to the extensi on of tight closure to Noetherian rings containing the rational numbers. W e also give an overview of some of the most important open questions remai ning in all characteristics.\n\n//indico.ictp.it/event/10019/ LOCATION:Online URL://indico.ictp.it/event/10019/ END:VEVENT BEGIN:VEVENT SUMMARY:Discontinuities cause essential spectrum DTSTART;VALUE=DATE-TIME:20220728T140000Z DTEND;VALUE=DATE-TIME:20220728T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10018@ictp.it DESCRIPTION:\n Please register in advance for this meeting:https://zoom.us /meeting/register/tJwsfuCpqDItHtVH3zEEI4EJxD9zuyWNbhlY\n After registering \, you will receive a confirmation email containing information about join ing the meeting.Abstract: We study transfer operators associated to piecew ise monotone interval transformations and show that the essential spectrum is large for any relevant Banach space when the transformation fails to b e Markov. Constructing a family of Banach spaces we show that the lower bo und on the essential spectral radius is optimal. Indeed\, these Banach spa ces realise an essential spectral radius as close as desired to the theore tical best possible case.\n\n//indico.ictp.it/event/10018/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10018/ END:VEVENT BEGIN:VEVENT SUMMARY:Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system DTSTART;VALUE=DATE-TIME:20220803T140000Z DTEND;VALUE=DATE-TIME:20220803T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10020@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJUtc-2upjMpGN0nhxEIaH3zsQ_W425_TEln\n After registering\, you will receive a confirmation email containing\n information about joining t he meeting.Abstract: In this talk\, I present random tower maps driven by an ergodic automorphism and prove quenched exponential correlations decay for tower maps admitting exponential tails. The technique is based on cons tructing suitable cones of functions\, defined on the random towers\, whic h contract with respect to the Hilbert metric under the action of appropri ate transfer operators. This is joint work with J.Alves\, W.Bahsoun and P. Varandas.\n\n//indico.ictp.it/event/10020/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10020/ END:VEVENT BEGIN:VEVENT SUMMARY:Dirac disintegration and vanishing center exponent DTSTART;VALUE=DATE-TIME:20220808T130000Z DTEND;VALUE=DATE-TIME:20220808T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10024@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJYvceqgrzwoEtGEJz4QAVNm8wHkZ82UfFEI\n After registering\, you will receive a confirmation email containing\n information about joining t he meeting.Abstract: An example due to A. Katok and also J. Yorke which ap pears in a note written by J. Milnor (Fubini foiled: Katok paradoxical exa mple in measure theory) reveals a "pathological" behavior of a foliation b y analytics leaves in the unit square: There exists a Lebesgue full measur e subset intersecting each leaf at most one point. In other words\, Lebesg ue measure disintegrates into Dirac masses. Shub and Wilkinson found the s ame phenomenon for the center foliation of some partially hyperbolic dynam ics with one-dimensional center and non-zero center exponent. Pesin and Hi rayama studied a higher dimensional version with compact center bundle and positive sum of center exponents. In all of the above conclusions\, the c enter leaves are compact and there is no room for expansion. In joint work with J. Zhang we prove that for derived from Anosov diffemorphisms (non-c ompact center leaves) any ergodic measure with zero center Lyapunov expone nt disintegrates into Dirac measures.\n\n//indico.ictp.it/event/10024/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10024/ END:VEVENT BEGIN:VEVENT SUMMARY:Stable and local sources for ergodicity DTSTART;VALUE=DATE-TIME:20220808T143000Z DTEND;VALUE=DATE-TIME:20220808T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10025@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJAsd-qvqT8vGdbFJ9pUzUErGxRskVvQDjSH\n After registering\, you will receive a confirmation email containing\n information about joining t he meeting.Abstract: We discuss the stable ergodicity of volume measure fo r dynamical systems that exhibit certain Hyperbolic behavior. Our aim is t o introduce a local and stable mechanism/phenomenon\, called quasi-conform al blender\, as a source for ergodicity. We will see how this method appli es for the action of groups of diffeomorphisms on smooth manifolds\, as we ll as\, for certain partially hyperbolic diffeomorphisms. This talk is bas ed on several joint works with A. Fakhari\, H. Rajabzadeh\, and A. Tahzibi . \n\n//indico.ictp.it/event/10025/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10025/ END:VEVENT BEGIN:VEVENT SUMMARY:On pseudoarc in dynamics DTSTART;VALUE=DATE-TIME:20220810T140000Z DTEND;VALUE=DATE-TIME:20220810T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10021@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJUkcu6sqzkuHNeluLYRh1pJgCcgxqcq-9bK\n After registering\, you will receive a confirmation email containing\n information about joining t he meeting.Abstract: The pseudoarc is an intriguing continuum that was dis covered by Knaster 100 years ago. While its structure is very complicated\ , Bing proved that from topological perspective\, pseudoarc is the typical continuum to encounter in the plane. In this talk I will present selected results connecting pseudoarc as topological object with main emphasis on possible dynamics that can be seen on it. In first part\, I will survey te chniques that were developed over the years for understanding of dynamics allowed on that continuum. Then motivated by a few of recent techniques\, I will show how this strange continuum can appear as an attractor for plan e homeomorphism.\n\n//indico.ictp.it/event/10021/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10021/ END:VEVENT BEGIN:VEVENT SUMMARY:Zariski finiteness theorem and some properties of ring of invarian ts DTSTART;VALUE=DATE-TIME:20220825T140000Z DTEND;VALUE=DATE-TIME:20220825T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10028@ictp.it DESCRIPTION:please see attached abstract.\nRegister in advance for this me eting:https://zoom.us/meeting/register/tJAkceyoqDovHtInngX-2sW_jZdZHssabik 6\nAfter registering\, you will receive a confirmation email containing\ni nformation about joining the meeting.\n\n//indico.ictp.it/event/10028/ LOCATION:Online Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10028/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA/ICTP Course on "Lie symmetries in general relativity" DTSTART;VALUE=DATE-TIME:20220902T120000Z DTEND;VALUE=DATE-TIME:20220907T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10029@ictp.it DESCRIPTION:\n This is a recurring meeting\, therefore please register jus t once for all 4 sessions:\n  https://zoom.us/meeting/register/tJwlduqtpz 4vH9WFXHPVfCmxYSQ8Rp8sCUR6 \n The course will be held on the following da ys:\n Friday\, 2 September\, 14:00 - 16:00\n Monday\, 5 September\, 10:00 - 12:00\n Tuesday\, 6 September\, 14:00 - 16:00\n Wednesday\, 7 September\ , 14:00 - 16:00\n Abstract: The course will be delivered on exact solution s of Einstein’s field equations and their Lie symmetry analysis. For thi s purpose\, first the basics of Riemannian geometry\, curvature theory and Lie symmetries will be provided. Then the detailed calculations with appl ications and physical interpretation will be presented. Connection with Li e groups and Lie algebras will also be established\n\n//indico.ictp.it/eve nt/10029/ LOCATION:Online Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/10029/ END:VEVENT BEGIN:VEVENT SUMMARY:On the Riemann zeta-function\, Fourier optimization and quadratic forms DTSTART;VALUE=DATE-TIME:20221006T140000Z DTEND;VALUE=DATE-TIME:20221006T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10071@ictp.it DESCRIPTION:Hybrid seminarVenue: for in-person attendees (Leonardo da Vinc i\, Lecture room D diploma area\, terrace level).For virtual attendees:htt ps://zoom.us/meeting/register/tJMqceupqjwrEtST6ofrgimqe-EDKj-7fGCr\nAfter registering\, you will receive a confirmation email containing information about joining the meeting.\n Abstract: We will discuss several problems a t the interface of analytic number theory and Fourier analysis\, involving the distribution of values and zeros of the Riemann zeta-function\, and a lso the distribution of integers and primes represented by quadratic forms . First\, we discuss Selberg's celebrated central limit theorem\, which ro ughly states that the logarithm of the Riemann zeta-function is normally d istributed on the critical line. We will discuss related joint works with Andrés Chirre and with Meghann Moriah Lugar and Micah B. Milinovich. In p articular\, we discuss our proof of a conjecture of Berry (1988)\, conditi onal on RH and on a strong version of the pair correlation conjecture. Fin ally\, we also discuss a Fourier analysis approach to the study of integer s and primes represented by binary quadratic forms -- a classical problem going back to Fermat (joint work with Andrés Chirre).\n\n//indico.ictp.it /event/10071/ LOCATION:Hybrid seminar Leonardo Building - Lecture Room D URL://indico.ictp.it/event/10071/ END:VEVENT BEGIN:VEVENT SUMMARY:Almost sure asymptotic behaviour of Birkhoff sums for infinite mea sure-preserving dynamical systems DTSTART;VALUE=DATE-TIME:20221012T120000Z DTEND;VALUE=DATE-TIME:20221012T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10076@ictp.it DESCRIPTION:\n Venue: for in-person attendees (Leonardo da Vinci\, Luigi S tasi seminar room).For virtual attendees:https://zoom.us/meeting/register/ tJAvf-GsqTspHdyZx3rgfg1RyiuEKtUdnq_Q\n After registering\, you will receiv e a confirmation email containing information about joining the meeting.\n Abstract: We are interested in the limit behaviour of Birkhoff sums over an infinite sigma-finite measure space. If the observable is integrable th en - by a classical theorem by Aaronson - there exists no sequence of real numbers such that the Birkhoff sum normed by this sequence converges almo st surely to 1. Under strong mixing conditions on the underlying system we prove a generalized strong law of large numbers for integrable observable s using a truncated sum adding a suitable number of terms depending on the point of evaluation. For f not integrable we give conditions on f such th at the Birkhoff sum normed by a sequence of real numbers converges almost surely to 1. Finally\, we look at the example of the backwards continued f ractions where we have an observable which is non-integrable wrt the measu re restrictet to a finite measure set. We give a proper truncation also fo r this system. This is joint work with Claudio Bonanno.\n\n//indico.ictp.i t/event/10076/ LOCATION:hybrid seminar Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10076/ END:VEVENT BEGIN:VEVENT SUMMARY:Algebraic Geometry Seminars 2022 - 2 Parts (see titles below) DTSTART;VALUE=DATE-TIME:20221012T133000Z DTEND;VALUE=DATE-TIME:20221012T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10077@ictp.it DESCRIPTION:\n The talk is divided in 2 parts\, each roughly 45mn with a s hort break between. The 1st part is for more general audience and the 2nd part is more specialized.Venue: for in-person attendees (Leonardo da Vinci \, Luigi Stasi seminar room).For virtual attendees:https://zoom.us/meeting /register/tJEodeyspjooE9RLusdnk-qwB3tk0VcT8kuM\n After registering\, you w ill receive a confirmation email containing information about joining the meeting.Part 1: Introduction to birational geometry and the Minimal Model Program\n The Minimal Model Program is an important framework in the class ification of projective varieties up to birational equivalence. In the tal k\, I plan to give an accessible introduction to the subject and describe some recent advances in the theory.Part 2: Gale duality\, blowups and modu li spaces \n The Gale correspondence provides a duality between sets of n points in projective spaces P^s and P^r when n=r+s+2. For small values of s\, this duality has a remarkable geometric manifestation: the blowup of P ^r at n points can be realized as a moduli space of vector bundles on the blowup of P^s at the Gale dual points. We explore this realization to desc ribe the birational geometry of blowups of projective spaces at points in very general position. We will focus in particular on the cases where the blowup fails to be a Mori Dream Space\, reporting on a joint work with Car olina Araujo\, Ana-Maria Castravet and Inder Kaur.\n\n//indico.ictp.it/eve nt/10077/ LOCATION:hybrid seminar Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10077/ END:VEVENT BEGIN:VEVENT SUMMARY:Basic Notions Seminar - An introduction to the Riemann Hypothesis and Gaps between Primes DTSTART;VALUE=DATE-TIME:20221013T140000Z DTEND;VALUE=DATE-TIME:20221013T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10079@ictp.it DESCRIPTION:\n Venue: for in-person attendees (Leonardo da Vinci\, Luigi S tasi Seminar Room). \n  \n\n For virtual attendees: https://zoom.us/meeti ng/register/tJUrdemorzkrGNzSiwZP6ruorx2JnVxwd1zm\n\n After registering\, y ou will receive a confirmation email containing information about joining the meeting.Abstract: There is a beautiful connection between the prime nu mbers and the zeros of Riemann zeta-function in the complex plane\, and un derstanding the distribution of these zeros can lead to remarkable consequ ences in our understanding of the primes. A famous open problem\, known as the Riemann Hypothesis\, states that the non-real zeros of the Riemann ze ta-function lie on a vertical line. I will motivate this conjecture\, desc ribe some evidence for it\, and describe some of the consequences it would lead to in our understanding of the primes. In particular\, I will descri be how to bound on the maximum gap between prime numbers assuming the Riem ann Hypothesis (which is based on joint work with Carneiro and Soundararaj an).\n\n//indico.ictp.it/event/10079/ LOCATION:hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10079/ END:VEVENT BEGIN:VEVENT SUMMARY:Algebraic Geometry Seminars 2022 - 2 Parts (see titles below) DTSTART;VALUE=DATE-TIME:20221019T140000Z DTEND;VALUE=DATE-TIME:20221019T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10092@ictp.it DESCRIPTION:\n The talk is divided in 2 parts\, each roughly 45mn with a s hort break between. The 1st part is for more general audience and the 2nd part is more specialized.Venue: for in-person attendees (Leonardo da Vinci \, Luigi Stasi seminar room).For virtual attendees:https://zoom.us/meeting /register/tJUvdumrpjMqH9TgK4-irQa1IZcvBANg3EGF\n After registering\, you w ill receive a confirmation email containing information about joining the meeting.Part 1: The Hilbert scheme of points\n We introduce the Hilbert sc heme of points on surface\, and talk about its invariants\, its relations to other moduli spaces of sheaves and applications to enumerative geometry . Finally we introduce some techniques for working with these Hilbert sche mesPart 2: (Refined) Verlinde and Segre formulas for Hilbert schemes of po intsuli spaces This is joint work with Anton Mellit.\n Segre and Verlinde numbers of Hilbert schemes of points have been studied for a long time.\n The Segre numbers are evaluations of top Chern and Segre classes of so-cal led tautological bundles on Hilbert schemes of points.\n The Verlinde numb ers are the holomorphic Euler characteristics of line bundles on these Hil bert schemes.\n We give the generating functions for the Segre and Verlind e numbers of Hilbert schemes of points.\n The formula is proven for surfac es with K_S^2=0\, and conjectured in general. Without restriction on K_S^2 we prove the conjectured Verlinde-Segre correspondence relating Segre and Verlinde numbers of Hilbert schemes. Finally we find a generating functio n for finer invariants\, which specialize to both the Segre and Verlinde n umbers\, giving some kind of explanation of the Verlinde-Segre corresponde nce.\n \n \n\n//indico.ictp.it/event/10092/ LOCATION:hybrid seminar Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10092/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA/ICTP Course on "Geometric Topology of 3-manifolds" DTSTART;VALUE=DATE-TIME:20221024T120000Z DTEND;VALUE=DATE-TIME:20221027T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10089@ictp.it DESCRIPTION:\n This is a recurring meeting\, therefore please register jus t once for all 4 sessions:https://zoom.us/meeting/register/tJcof-GrpzksEtX jSJJ_2LuhC-cXpsR_3ivz\n
\n \n \n Timetable and Venues (CHANGED!) Monda y 24 October: 2:00-4:00 PM - Euler Lecture hall\n Tuesday 25 October: 2:00 -3:45 PM - Euler Lecture hallWednesday 26 October: 2:00-4:00 PM - Euler Le cture hallThursday 27 October: 4:00-6:00  PM - Lecture room B\n Abstract: One of the greatest achievements on mathematics in the 21st century is th e proof of the Poincaré’s Conjecture by Grigory Perelman in 2003. Indee d\, Perelman proved a much stronger result\, which is the Geometrization C onjecture proposed by William Thurston in 1982. In order to do so\, Perelm an used the Ricci flow\, a geometric/analytical argument proposed by Richa rd Hamilton. In this course\, thought for a student with some background i n Riemannian geometry\, we will present Poincaré’s conjecture in the co ntext of the geometrization\, explain the Geometrization theorem together with the eight Thurston’s geometries and give an intuitive overview of t he proof of Perelman.\n \n\n//indico.ictp.it/event/10089/ LOCATION:Hybrid Euler Lecture hall and Lecture room B URL://indico.ictp.it/event/10089/ END:VEVENT BEGIN:VEVENT SUMMARY:Differential equations\, periods\, and integrality DTSTART;VALUE=DATE-TIME:20221026T133000Z DTEND;VALUE=DATE-TIME:20221026T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10105@ictp.it DESCRIPTION:This is a Joint Seminar talk with Simons Center for Geometry a nd physics.For those who are participating remotely\, please see the follo wing zoom link.\nLogin to zoom: https://stonybrook.zoom.us/j/98030548390?p wd=RWpaUWF0WkJpbnMwbnIvK1NJb2dNdz09\nMore information can be found here:ht tps://scgp.stonybrook.edu/archives/35550PLEASE SEE THE ATTACHED ABSTRACT.\ n\n//indico.ictp.it/event/10105/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10105/ END:VEVENT BEGIN:VEVENT SUMMARY:Number Theory Day DTSTART;VALUE=DATE-TIME:20221027T090000Z DTEND;VALUE=DATE-TIME:20221027T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10099@ictp.it DESCRIPTION:\n The Mathematics Section of ICTP is organizing a Number Theo ry Day on October 27\, 2022 with four lectures.\n This is a hybrid event\, so people interesetd in taking part in the event can do so\n in person (v enue:  Euler Lecture Room\, ICTP Leonardo Da Vinci Building)\, or\n\n via zoomregistration link:https://zoom.us/meeting/register/tJYsdO2hqT0jGtYNXg FwuWnnmlh9bq2jWhpN\n The programme is as follows:\n 11:00 - 12:00: Micah M ilinovich (Univ. of Mississippi\, USA)\n Title: Biases in the gaps between zeros of Dirichlet L-functions.\n 13:30 - 14:30: Danylo Radchenko (Univ. of Lille\, France)\n Title: Dirichlet eigenvalues of regular polygons.\n 1 5:00 - 16:00: Umberto Zannier (SNS Pisa\, Italy)\n Title: Finiteness theor ems on elliptical billiards - Part I: Poncelet games\, elliptical billiard s and relative Manin-Mumford.\n 16:30 - 17:30: Pietro Corvaja (Univ. of Ud ine\, Italy)\n Title: Finiteness theorems on elliptical billiards - Part I I: Elliptical billiards and dynamical Mordell-Lang.\n More information on the event can can be found at the website https://sites.google.com/view/em anuelcarneiro/nt-day\n\n//indico.ictp.it/event/10099/ LOCATION:Hybrid Leonardo Building - Euler Lecture Hall URL://indico.ictp.it/event/10099/ END:VEVENT BEGIN:VEVENT SUMMARY:Algebraic Geometry Seminar DTSTART;VALUE=DATE-TIME:20221102T150000Z DTEND;VALUE=DATE-TIME:20221102T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10108@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJApfu-orDgrGdG_VyGzp6j3l4divqy-hAbt\n After registering\, you will receive a confirmation email containing information about joining the meeting.The talk is divided in 2 parts\, the 1st part is for more general audience and the 2nd part is on current research.Part 1: What is GIT? Why pencils of plane curves?\n Abstract: I plan to first give a quick introdu ction to geometric invariant theory (GIT) as well as to describe what my m otivation is for studying the problem that I will discuss in Part 2.Part 2 : On the GIT stability of pencils of plane curves\n Abstract: In the secon d part of the talk\, I will present a possible approach to the problem of classifying pencils of plane curves up to projective equivalence via geome tric invariant theory. In particular\, I will explain how the stability of a pencil is related to the stability of its generators\, to the log canon ical threshold\, and to the multiplicities of a base point. And I will als o discuss some relevant examples.\n\n//indico.ictp.it/event/10108/ LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10108/ END:VEVENT BEGIN:VEVENT SUMMARY:Music + Science DTSTART;VALUE=DATE-TIME:20221104T083000Z DTEND;VALUE=DATE-TIME:20221104T113000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10115@ictp.it DESCRIPTION:\n In the context of the music and science festival "Wunderkam mer 2022 - Algoritmi musicali"\, organized in collaboration with Wunderkam mer\, Elettra and Comune di Trieste\, ICTP has organized two scientific ta lks exploring how science can be applied to music.\n The two lectures will take place on Friday 4 November in ICTP's Budinich Lecture Hall\, Leonard o Building\, and are open to all.\n The first lecture\, "How the Human Bra in Masters Time"\, with Prof. Domenica Bueti\, Associate Professor of Cogn itive Neuroscience at the International School for Advanced Studies (SISSA ) is scheduled at 9:30am.
\n\n For more information: https://www.wunderk ammer.trieste.it/component/jevents/205/l-arte-della-forma.html?Itemid=0\n\ n \n The second lecture\, "L'Arte della Forma. Scientific and technical ch allenges in the digital reproduction of musical instruments"\, with Gabrie le Ricchiardi\, Associate Professor of Chemical Physics\, University of To rino\; and Diego Dreossi\, researcher at Elettra Sincrotrone Trieste\, is scheduled at 11:00am.\n\n For more information: https://www.wunderkammer.t rieste.it/component/jevents/206/l-arte-della-forma.html?Itemid=0\n\n//indi co.ictp.it/event/10115/ LOCATION: Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/10115/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR DTSTART;VALUE=DATE-TIME:20221109T150000Z DTEND;VALUE=DATE-TIME:20221109T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10118@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJYpcOyuqjovGtairkDg-0xtWjPdhgFEQMwz \n After registering\, you will receive a confirmation email containing information about joining th e meeting.I: On the geometry of hyperkähler manifolds\n Compact hyperkäh ler (HK) manifolds (also known as Irreducible holomorphic symplectic manif olds) a rehigher-dimensional analogs of K3 surfaces and actually good ones with many properties in common. However\, one of the most valuable theore ms\, the Torelli theorem for K3 surfaces\, is slightly different in the ca se of HK manifolds. In this part\, we introduce some of the main facts abo ut HK manifolds\, the known examples\, and the notion of deformation type\ , which is crucial in order to construct new examples of such varieties. I n particular\, we focus on the moduli space of stable sheaves of K3 surfac es\, an example introduced in the seminalworks by Mukai\, and later contin ued by Göttsche-Huybrechts\, O'Grady\, and Yoshioka.II: The birational ge ometry of hyperkähler manifolds of K3-ntype admitting symplectic actions\ n In this second part\, we study a particular type of deformation of HK ma nifolds admitting a special property: they carry a non-trivial symplectic birational map. We will see that using some standard facts in lattice theo ry\, such varieties are birational to moduli space of stable sheaves on K3 surfaces. Furthermore\, by applying techniques in a setting of Bridgeland stability conditions\, we can prove that they are isomorphic to some modu li spaces. This last part motivates us to study the wall-crossing of such moduli spaces in order to characterize their Mukaivector. This is a work i n collaboration with D. Mattei and Y. Dutta.\n\n//indico.ictp.it/event/101 18/ LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10118/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometric and multilinear problems in analysis DTSTART;VALUE=DATE-TIME:20221111T100000Z DTEND;VALUE=DATE-TIME:20221111T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10119@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJEucOqsrDIsEtMLHl09fSvTorMF2KMc64rs\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: We give an overview of some key problems in analysis wh ich have a geometric flavour and which have proved amenable to multilinear approaches over the last 15 years or so. Although these problems originat ed in harmonic analysis\, ideas from other areas of analysis -- nonlinear analysis\, functional analysis and discrete analysis -- are brought to bea r on their understanding.\n\n//indico.ictp.it/event/10119/ LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10119/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP Complex Differential Geometry on "Parabolic approach to the ( analytic) Minimal Model Program" DTSTART;VALUE=DATE-TIME:20221118T130000Z DTEND;VALUE=DATE-TIME:20221118T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10123@ictp.it DESCRIPTION:\n Abstract: The Kæhler-Ricci flow started as a small branch of the study of Hamilton’s Ricci flow\, but by now is itself a vast area of research. In this talk\, we provide an introduction to the study of th e Kæhler-Ricci flow on compact Kæhler manifold\, and some recent develop ments. We next briefly present the Kæhler-Ricci flow approach to the Anal ytic Minimal Model Program proposed by Song-Tian to tackle the classificat ion of compact Kæhler manifolds. One is lead to develop a theory of weak solutions to the Kæhler-Ricci flow on Kæhler varieties with mild singula rities.\n\n//indico.ictp.it/event/10123/ LOCATION:IGAP (old SISSA building) URL://indico.ictp.it/event/10123/ END:VEVENT BEGIN:VEVENT SUMMARY:Lipschitz learning and the infinity-Laplacian DTSTART;VALUE=DATE-TIME:20221118T100000Z DTEND;VALUE=DATE-TIME:20221118T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10129@ictp.it DESCRIPTION:Hybrid seminarVenue: for in-person attendees (Leonardo da Vinc i\, Stasi Room\, First floor).For virtual attendees:https://zoom.us/meetin g/register/tJ0lcOGrrj8pGNwzzpDNyw9zrLYidnQW93NJ\nAfter registering\, you w ill receive a confirmation email containing information about joining the meeting.\n Abstract: Infinity-harmonic functions have recently found appli cation in Semi-Supervised Learning in the context of the so-called Lipschi tz Learning. With this application in mind\, we will discuss the Lipschitz extension problem\, its solution via MacShane-Whitney extensions and its several drawbacks\, leading to the notion of AMLE (Absolutely Minimising L ipschitz Extension). We then address the equivalence between being absolut ely minimising Lipschitz\, enjoying comparison with cones and solving the infinity-Laplace equation in the viscosity sense. We will present a few re gularity results and discuss open problems if time permits\n \n \n\n//indi co.ictp.it/event/10129/ LOCATION:Hybrid seminar Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10129/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Algebraic Geometry & TRINO: ADE singularities\, Quot schemes and generating functions DTSTART;VALUE=DATE-TIME:20221121T130000Z DTEND;VALUE=DATE-TIME:20221121T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10121@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJMtc-yhpjovGtIfqyzat6SoJJpXTrODBnC5\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: Starting with an ADE singularity C^2/Gamma for Gamma a finite subgroup of SL(2\,C)\, one can build various moduli spaces of geome tric and representation-theoretic interest as Nakajima quiver varieties. T hese spaces depend in particular on a stability parameter\; quiver varieti es at both generic and non-generic stability are of geometric interest. Ge nerating functions of Euler characteristics at different points in stabili ty space are controlled by specialisation formulae of characters of Lie al gebra representations. We will explain some of these connections\, focusin g in particular on the abelian case. Based on joint papers and projects wi th Craw\, Gammelgaard\, Gyenge\, and Nemethi.\n\n//indico.ictp.it/event/10 121/ LOCATION:Hybrid seminar Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/10121/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP Complex Differential Geometry Seminar on: The Z-critical equa tion on surfaces DTSTART;VALUE=DATE-TIME:20221123T130000Z DTEND;VALUE=DATE-TIME:20221123T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10135@ictp.it DESCRIPTION:\n Abstract: Introduced by Dervan-McCarthy-Sektnan\, the Z-cri tical equations are conjectural complex differential-geometric analogues o f Bridgeland stability conditions\, and seek to strengthen the classical H itchin-Kobayashi correspondence: a holomorphic vector bundle over a smooth projective variety is slope polystable if and only if it admits a Hermite -Einstein metric. In this talk\, I will briefly discuss the motivation and setting of the Z-critical equations\, before specialising to the case of line bundles on projective surfaces. In this special case\, I will attempt to explain how certain facts from the classical geometry of surfaces give a PDE analogue of a wall-and-chamber decomposition. This is joint work wi th Sjöström-Dyrefelt.\n\n//indico.ictp.it/event/10135/ LOCATION:IGAP Lecture room URL://indico.ictp.it/event/10135/ END:VEVENT BEGIN:VEVENT SUMMARY:On highly degenerate Alt-Phillips problems DTSTART;VALUE=DATE-TIME:20221130T100000Z DTEND;VALUE=DATE-TIME:20221130T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10144@ictp.it DESCRIPTION:Hybrid seminarVenue: for in-person attendees (Leonardo da Vinc i\, Lecture Room D).For virtual attendees:https://zoom.us/meeting/register /tJwtceytpjwuEtHlba3sEx-YuHV74KjK6RsW\nAfter registering\, you will receiv e a confirmation email containing information about joining the meeting.\n \n \n Abstract: In this talk\, we study regularity properties for nonvar iational singular elliptic equations ruled by highly degenerate second-ord er operators. We obtain optimal regularity along the free boundary. We als o show existence of solutions\, nondegeneracy properties\, and fine geomet ric estimates for the free boundary. This is joint work with Ginaldo Sá - UFPB.\n \n \n\n//indico.ictp.it/event/10144/ LOCATION:Hybrid seminar Leonardo Building - Lecture Room D URL://indico.ictp.it/event/10144/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP Complex Differential Geometry Seminar on: Special Kähler met rics on fibrations DTSTART;VALUE=DATE-TIME:20221130T130000Z DTEND;VALUE=DATE-TIME:20221130T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10149@ictp.it DESCRIPTION:\n Abstract: Proper holomorphic submersions of Kähler manifol ds can be thought of as both a generalisation of holomorphic vector bundle s and as a way of studying the behaviour of Kähler manifolds in families. We will consider fibrations whose fibres are K-semistable deformations of Kähler manifolds with constant scalar curvature\, in a way compatible wi th the fibration structure. On such fibrations\, we will describe a canoni cal choice of a relatively Kähler metric\, called an optimal symplectic c onnection\, that provides a generalisation of the Hermite-Einstein conditi on on vector bundles and gives the existence of special Kähler metrics on the total space.\n \n\n//indico.ictp.it/event/10149/ LOCATION:IGAP Lecture room URL://indico.ictp.it/event/10149/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA/ICTP Course on "Introduction to Optimization and Operator Th eory" DTSTART;VALUE=DATE-TIME:20221205T130000Z DTEND;VALUE=DATE-TIME:20221208T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10141@ictp.it DESCRIPTION:\n This is a recurring meeting\, therefore please register jus t once for all 4 sessions:https://zoom.us/meeting/register/tJUodOihqDMvE9f Oe6s-MziaNCKeZeoaVSDt\n
\n \n Venue (for in-person attendees):Luigi St asi Seminar Room\n \n Timetable:Monday 5 December:   14:00 - 16:00 Tuesd ay 6 December:  14:00 - 16:00 Wednesday 7 December: 14:00 - 16:00 Thursda y 8 December: 14:00 - 16:00 \n \n Abstract: \n \n An introductory lectur e on operator and optimization theory will be given. To be specific\, vari ous notions of derivatives for mappings between Normed spaces will be disc ussed\, with a special emphasis on mappings taking values in R \n \n \n connecting derivatives with optimization problems. We discuss the continu ity\, lower semicontinuity\, differentiability\, and\, most importantly\, optimization properties of convex functions in normed spaces. We will also go over the Fenchel conjugate and biconjugate for convex functions\, as w ell as their properties. With these tools at our disposal\, we move on to the duality methods in optimization\, which allows us to solve unconstrain ed and constrained minimization problems (called the primal) by relating t hem to their dual problems obtained via the Fenchel conjugate. Finally\, a fter discussing the Moreau proximity operator in Hilbert spaces\, we will look at a popular class of optimization algorithms.\n \n  \n \n Referen ces:\n \n [1] Kravvaritis\, D. C.\, & Yannacopoulos\, A. N. (2020). Varia tional methods in nonlinear analysis: with applications in optimization an d partial differential equations. Walter De Gruyter Gmbh & Co Kg. \n \n [ 2] Bauschke\, H. H.\, & Combettes\, P. L. (2011). Convex analysis and mono tone operator theory in Hilbert spaces (Vol. 408). New York: Springer. \n \n \n \n\n//indico.ictp.it/event/10141/ LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10141/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP Event - A Proof of the P=W Conjecture DTSTART;VALUE=DATE-TIME:20221205T090000Z DTEND;VALUE=DATE-TIME:20221206T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10145@ictp.it DESCRIPTION:Hybrid seminarVenue:For in-person attendees IGAP/IFPU Lecture Room (New SISSA Building\, room 205)For virtual attendees: Zoom\nPlease us e the links below (one per lecture) to register.\nAfter registering\, you will receive a confirmation email containing information about joining the meeting.\n __________________\n\nThis short series of four lectures by T. Hausel (IST\, Austria) and A. Mellit (Univ. of Vienna) will discuss the r ecent proof of the P=W conjecture in the theory of the moduli space of Hig gs bundles on a curve.\nThe following seminars will be given on Monday 5 D ecember and Tuesday 6 December in the IGAP/IFPU Seminar Room (room number 205\, new SISSA Building)\, but interested people can also attend via zoom (see links below - one link per lecture!):Monday 5 December\n10:00 - 11:0 0 Introduction to P=W and Mirror symmetry - T. Hausel\nZoom link: https:// zoom.us/meeting/register/tJcvf-2vrz4iE9OO1g31YvHGCmmQ1qiQ5rc9\n14:00 - 15: 00 P=W via H_2 (part 1) - A. Mellit\nZoom link: https://zoom.us/meeting/re gister/tJEvduGgrDMoE93-EF_JnCVZcSzSBxN3n3SfTuesday 6 december\n10:00 - 11: 00 P=W via H_2 (part 2) - A. Mellit\nZoom link: https://zoom.us/meeting/re gister/tJArdOmorjwsEtyoc6-RDWyrCOEs3wIGQdR1\n14:00 - 15:00 Mirror Symmetry and big algebras - T. Hausel\nZoom link: https://zoom.us/meeting/register /tJYudu2srz4pGdJCyVTEA3xkWRxNztbph14r\nYou are all welcome to join.\n_____ _______________AbstractsTamas HauselIntroduction to P=W and mirror symmetr y\n\n Motivated by topological mirror symmetry for Langlands dual Higgs bu ndle moduli spaces\, one can study the arithmetic of the corresponding cha racter varieties to gain information on the weight filtration on their coh omology. In turn this lead to the P=W conjecture which identifies the weig ht filtration on the cohomology of the character variety with the perverse filtration of the Hitchin system on the cohomology of the Higgs moduli sp ace.\nMirror symmetry and big algebras\n First we discuss the mirror symme try identification of the coordinate ring of certain very stable upward fl ows in the Hitchin system and the Kirillov algebra for the minuscule repre sentation of the Langlands dual group via the equivariant cohomology of th e cominuscule flag variety (e.g. complex Grassmannian). In turn we explain a conjectural extension of this picture to non-very stable upward flows i n terms of a big commutative subalgebra of the Kirillov algebra\, which al so ringifies the equivariant intersection cohomology of the corresponding affine Schubert variety.\nAnton MellitP=W via H_2\n By H_2 we denote the L ie algebra of polynomial hamiltonian vector fields on the plane. We consid er the moduli space of stable twisted Higgs bundles on an algebraic curve of given coprime rank and degree. De Cataldo\, Hausel and Migliorini prove d in the case of rank 2 and conjectured in arbitrary rank that two natural filtrations on the cohomology of the moduli space coincide. One is the we ight filtration W coming from the Betti realization\, and the other one is the perverse filtration P induced by the Hitchin map. Motivated by comput ations of the Khovanov-Rozansky homology of links by Gorsky\, Hogancamp an d myself\, we look for an action of H_2 on the cohomology of the moduli sp ace. We find it in the algebra generated by two kinds of natural operation s: on the one hand we have the operations of cup product by tautological c lasses\, and on the other hand we have the Hecke operators acting via cert ain correspondences. We then show that both P\n and W coincide with the fi ltration canonically associated to the sl_2 subalgebra of H_2.\n\n//indico .ictp.it/event/10145/ LOCATION:Hybrid IGAP/IFPU Seminar Room (Room 205\, new SISSA Building) URL://indico.ictp.it/event/10145/ END:VEVENT BEGIN:VEVENT SUMMARY:Basic Notions Seminar - What is a moduli space? DTSTART;VALUE=DATE-TIME:20221209T150000Z DTEND;VALUE=DATE-TIME:20221209T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10142@ictp.it DESCRIPTION:\n Venue: for in-person attendees (Leonardo da Vinci\, Luigi S tasi Seminar Room). \n  \n\n For virtual attendees:\n\n https://zoom.us/m eeting/register/tJ0od-ihrTIjH9F3K0rVN45vAwYwC2diqLtL\n\n After registering \, you will receive a confirmation email containing information about join ing the meeting.Abstract: There is a beautiful connection between the prim e numbers and the zeros of Riemann zeta-function in the complex plane\, an d understanding the distribution of these zeros can lead to remarkable con sequences in our understanding of the primes. A famous open problem\, know n as the Riemann Hypothesis\, states that the non-real zeros of the Rieman n zeta-function lie on a vertical line. I will motivate this conjecture\, describe some evidence for it\, and describe some of the consequences it w ould lead to in our understanding of the primes. In particular\, I will de scribe how to bound on the maximum gap between prime numbers assuming the Riemann Hypothesis (which is based on joint work with Carneiro and Soundar arajan).\n\n//indico.ictp.it/event/10142/ LOCATION:hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10142/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP Complex Differential Geometry Seminar on "Submanifolds with s pecial Kahler metrics of complex space forms" DTSTART;VALUE=DATE-TIME:20221214T133000Z DTEND;VALUE=DATE-TIME:20221214T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10157@ictp.it DESCRIPTION:\n Abstract: Submanifolds of complex space forms are common ex amples of Kahler manifolds. It is natural to study the ones whose induced metrics are KE\, cscK\, or more generally extremal. In this talk\, I will first review some classic results\, then introduce our recent work on KE a nd extremal Kahler submanifolds of complex projective spaces.\n\n//indico. ictp.it/event/10157/ LOCATION:IGAP Lecture room URL://indico.ictp.it/event/10157/ END:VEVENT BEGIN:VEVENT SUMMARY:Double EPW-sextics with actions of A7 and irrational GM threefolds DTSTART;VALUE=DATE-TIME:20221221T150000Z DTEND;VALUE=DATE-TIME:20221221T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10159@ictp.it DESCRIPTION:\n Abstract: We construct two examples of projective hyper-Kä hler fourfolds of K3[2]-type with an action of the alternating group A7\, making them some of the most symmetric hyper-Kähler fourfolds. They are r ealized as so called double EPW sextics and this allows us to construct an explicit family of irrational Gushel-Mukai threefolds.\n\n//indico.ictp.i t/event/10159/ LOCATION: Room D\, Former SISSA Building URL://indico.ictp.it/event/10159/ END:VEVENT BEGIN:VEVENT SUMMARY:Double EPW-sextics with actions of A7 and irrational GM threefolds DTSTART;VALUE=DATE-TIME:20221221T150000Z DTEND;VALUE=DATE-TIME:20221221T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10160@ictp.it DESCRIPTION:\n Abstract: We construct two examples of projective hyper-Kä hler fourfolds of K3[2]-type with an action of the alternating group A7\, making them some of the most symmetric hyper-Kähler fourfolds. They are r ealized as so called double EPW sextics and this allows us to construct an explicit family of irrational Gushel-Mukai threefolds.\n\n//indico.ictp.i t/event/10160/ LOCATION:ICTP Reading-room URL://indico.ictp.it/event/10160/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP Complex Differential Geometry series on "Invariants of almost complex manifolds: rank of the Nijenhuis tensor" DTSTART;VALUE=DATE-TIME:20230119T133000Z DTEND;VALUE=DATE-TIME:20230119T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10243@ictp.it DESCRIPTION:\n Abstract: In this talk\, I will discuss invariants of almos t complex manifolds\, among which the rank of the Nijenhuis tensor. I will focus on parallelizable manifolds\, studying the local behaviour of such rank along curves of almost complex structures\, and describing how to pro duce structures whose Nijenhuis tensor has prescribed rank. I will complet e the discussion classifying 6-nilmanifolds admitting a left-invariant alm ost complex structure of given rank\, underlining how the topology of the manifold imposes constraints on the values of the rank. The theory will be complemented with several examples. At the end of the talk\, I shall brie fly recall certain invariants of complex manifolds and present the possibi lity to define their generalization to almost complex manifolds.The talk i s based on the preprint arxiv.org:2211.08340 and on work in progress joint with Prof. Adriano Tomassini. \n\n//indico.ictp.it/event/10243/ LOCATION:former SISSA Buiding IGAP Lecture room 205 URL://indico.ictp.it/event/10243/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP seminar on Geometry and Physics series: Introduction to isomo nodromy/CFT correspondence - I DTSTART;VALUE=DATE-TIME:20230124T133000Z DTEND;VALUE=DATE-TIME:20230124T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10245@ictp.it DESCRIPTION:\n Abstract: In the first talk I would like to tell about Fuch sian systems\, their monodromy\, isomonodromic deformations\, and tau func tions. In the second talk I'm going to tell some basic things about confor mal field theory and its application to solve isomonodromic deformations e quations\, which was first found in the paper by Gamayun\, Iorgov\, Lisovy y https://arxiv.org/abs/1207.0787.\n\n//indico.ictp.it/event/10245/ LOCATION:IFPU/IGAP building room 205 URL://indico.ictp.it/event/10245/ END:VEVENT BEGIN:VEVENT SUMMARY:Algebraic Geometry Seminar: Tautological bundles over Quot schemes on curves DTSTART;VALUE=DATE-TIME:20230125T180000Z DTEND;VALUE=DATE-TIME:20230125T190000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10247@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJEpcuqrqDIqHdcVyFUZsc2H20ws-sACSEZ4\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: I will present formulas for the Euler characteristics o f tautological bundles over punctual Quot schemes that parameterize zero-d imensional quotients of a vector bundle E over C (based on joint work with Prof. Dragos Oprea). The formulas suggest analogies between the Quot sche mes of curves and the Hilbert scheme of points of surfaces. Our proofs rel y on Atiyah-Bott localization\, universality results (of Ellingsrud\, Göt tsche\, and Lehn)\, and the combinatorics of Schur functions. For higher r ank quotients\, I will report a few formulas and vanishing results when th e genus is zero.\n\n//indico.ictp.it/event/10247/ LOCATION:Online URL://indico.ictp.it/event/10247/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP seminar on Geometry and Physics series: Introduction to isomo nodromy/CFT correspondence - II DTSTART;VALUE=DATE-TIME:20230131T133000Z DTEND;VALUE=DATE-TIME:20230131T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10246@ictp.it DESCRIPTION:\n Abstract: In the second talk I'm going to tell some basic t hings about conformal field theory and its application to solve isomonodro mic deformations equations\, which was first found in the paper by Gamayun \, Iorgov\, Lisovyy https://arxiv.org/abs/1207.0787 .\n\n//indico.ictp.it/ event/10246/ LOCATION:IFPU/IGAP building room 205 URL://indico.ictp.it/event/10246/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/SISSA Algebraic Geometry Seminar DTSTART;VALUE=DATE-TIME:20230201T150000Z DTEND;VALUE=DATE-TIME:20230201T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10261@ictp.it DESCRIPTION:\n \n Title 1:   Enumerative invariants of Quot schemes…\n \n  \n \n Abstract 1: We will motivate the study of generating functio ns of enumerative invariants (such as the Euler characteristic) attached t o interesting moduli spaces\, such as Hilbert schemes and Quot schemes of nonsingular varieties. We will use naive cut-and-paste techniques to write down a few explicit formulas.\n \n  \n \n \n Title 2:   … and the ir virtual refinements\n \n  \n \n Abstract 2: In the second part o f the talk we will define K-theoretic invariants attached to the Quot sche me of points of affine 3-space\, and we will provide a closed formula for the generating function of these invariants (the “higher rank Donaldson -Thomas invariants” of A^3). This formula was the Awata-Kanno conjecture in String Theory. The proof of this formula is a joint work with N. Fasol a and S. Monavari.\n \n \n \n  \n\n\n//indico.ictp.it/event/10261/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10261/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP Complex Differential Geometry series on Goldberg conjecture DTSTART;VALUE=DATE-TIME:20230203T133000Z DTEND;VALUE=DATE-TIME:20230203T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10265@ictp.it DESCRIPTION:\n Abstract: We exhibit a necessary and sufficient condition f or a symplectic manifold (M\, ω) to admit an ω-compatible Einstein metri c. This research was motivated by the Goldberg conjecture asserting that a compact symplectic manifold (M\, ω) with an ω-compatible Einstein metri c is Kähler.\n \nThe talk is based on a joint work with Prof Augustin Ban yaga (Penn state\, USA).\n\n\n//indico.ictp.it/event/10265/ LOCATION:former SISSA Buiding IGAP Lecture room 205 URL://indico.ictp.it/event/10265/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP/IGAP Complex Differential Geometry Seminar: Holomorphic Morse inequalities revisited DTSTART;VALUE=DATE-TIME:20230210T133000Z DTEND;VALUE=DATE-TIME:20230210T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10268@ictp.it DESCRIPTION:\n Abstract: The history of holomorphic Morse inequalities was initiated from the seminal work of J.-P. Demailly\, which was influenced by the Witten’s analytic proof of classical Morse inequalities and Siu ’s solution of Grauert-Riemenschneider conjecture on Moishezon manifolds . These inequalities provide a flexible way to produce holomorphic section s of high tensor powers of line bundle under mild positivity assumption an d have various generalizations in complex geometry. We will give an introd uction on this subject and our related results.\n\n//indico.ictp.it/event/ 10268/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10268/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR: Gaeta resolutions and strange duality over rational surfaces DTSTART;VALUE=DATE-TIME:20230215T130000Z DTEND;VALUE=DATE-TIME:20230215T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10273@ictp.it DESCRIPTION:\n Registration link:https://zoom.us/meeting/register/tJUtdumq pjwjGtAzN21XRbOqja09aZKefFci\n Abstract: We will discuss resolutions of co herent sheaves by line bundles from strong full exceptional sequences over rational surfaces. We call them Gaeta resolutions. We then apply the resu lts towards the study of the moduli space of sheaves\, in particular Le Po tier's strange duality conjecture. We will show that the strange morphism is injective in some new cases. One of the key steps is to show that certa in Quot schemes are finite and reduced. The next key step is to enumerate the length of the finite Quot scheme\, by identifying the Quot scheme as t he moduli space of limit stable pairs\, where we are able to calculate the (virtual) fundamental class. This is based on joint work with Thomas Goll er.\n\n//indico.ictp.it/event/10273/ LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10273/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC TOPOLOGY SEMINAR: Scissors Congruences and Algebraic K- theory DTSTART;VALUE=DATE-TIME:20230216T130000Z DTEND;VALUE=DATE-TIME:20230216T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10274@ictp.it DESCRIPTION:\n \n Abstract: The scissors congruence in plane euclidean ge ometry is known results. Its three dimensional case is known as famous Hil berst's third problem. In this talk first I will discuss the classical sci ssor congruence problems. I will then discuss its connection to algebraic K-theory and some problems in algebraic geometry.\n \n \n\n//indico.ictp.i t/event/10274/ LOCATION:IN PERSON Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10274/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC TOPOLOGY SEMINAR: The third Homology of SL_2 and K_3 of Fields DTSTART;VALUE=DATE-TIME:20230217T130000Z DTEND;VALUE=DATE-TIME:20230217T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10275@ictp.it DESCRIPTION:\n \n Abstract: In this talk I will discuss the classical Blo ch Wigner exact sequence and then I will discuss its relation to the third K-group of the field. Then we will discuss the third homology of SL_2 and some related problems. \n \n \n \n\n//indico.ictp.it/event/10275/ LOCATION:IN PERSON Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10275/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR - TRINO SERIES: Double nested Hilbert s chemes and stable pair invariants DTSTART;VALUE=DATE-TIME:20230223T130000Z DTEND;VALUE=DATE-TIME:20230223T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10280@ictp.it DESCRIPTION:\n Abstract: Hilbert schemes of points on a smooth projective curve are symmetric powers of the curve itself\; they are smooth and we kn ow essentially everything about them. We propose a variation by studying d ouble nested Hilbert schemes of points\, which parametrize flags of 0-dime nsional subschemes satisfying certain nesting conditions dictated by Young diagrams. These moduli spaces are almost never smooth but admit a virtual structure à la Behrend-Fantechi. We explain how this virtual structure p lays a key role in (re)proving the correspondence between Gromov-Witten in variants and stable pair invariants for local curves.All interested are we lcome to attend.\n\n//indico.ictp.it/event/10280/ LOCATION:SISSA Room 134 (SISSA) URL://indico.ictp.it/event/10280/ END:VEVENT BEGIN:VEVENT SUMMARY:Lattice homology of curve singularities and Heegaard Floer Link th eory DTSTART;VALUE=DATE-TIME:20230228T161500Z DTEND;VALUE=DATE-TIME:20230228T171500Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10283@ictp.it DESCRIPTION:We construct the analogue of the Heegaard Floer Link homology for an algebraic curve singularity\, even if it is not planar\, that is\, for curve germs $(C\,o)\\subset ({\\mathbb C}^N\,o)$. \nIn the first step we define the lattice homology of the germ. Then\, via a convenient filtra tion we define a spectral sequence\, whose $E^\\infty$ page is the graded lattice homology\, while the first page $E^1$ is the above mentioned invar iant. \nIf the curve singularity is in $({\\mathbb C}^2\,0)$ then the $E^1 $ page can be identified with the Heegaard Floer Link homology of the alge braic link in $S^3$ associated with $(C\,o)$\; but even in this case the s pectral sequence is `new' (it is not the spectral sequence from $HFL^-$ th eory which converges to $HF^-(S^3)$). \nAll the pages are well-defined inv ariants of the singularity (even if it is not planar).\n\n//indico.ictp.it /event/10283/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/10283/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR: Type II degenerations of K3 surfaces\, pseudolattices\, and mirror symmetry DTSTART;VALUE=DATE-TIME:20230302T130000Z DTEND;VALUE=DATE-TIME:20230302T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10286@ictp.it DESCRIPTION:\n Abstract: I will report on a work in progress about mirror symmetry for K3 surfaces in the spirit of the DHT conjecture. After giving a very brief introduction to the theory of pseudolattices\, I will descri be how they show up naturally in the context of Type II degenerations of K 3 surfaces\, and show how this can be used to recover some classical resul ts due to Friedman. Time permitting\, I will also discuss how these struct ures seem to provide a natural setting to study mirror symmetry for Type I I degenerations of K3 surfaces. Everything is based on a joint work in pro gress with Alan Thompson.\n\n//indico.ictp.it/event/10286/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10286/ END:VEVENT BEGIN:VEVENT SUMMARY:Algebraic Geometry Seminar DTSTART;VALUE=DATE-TIME:20230308T130000Z DTEND;VALUE=DATE-TIME:20230308T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10288@ictp.it DESCRIPTION:\n Please note: the seminar talk will be split in 2 partsPart I\n Title 1: Character tables\, enumerative problems of finite groups and polynomial count varieties.Abstract 1: The study of finite groups often in volves examining the traces of their irreducible representations\, also kn own as characters. In fact\, a character table of a group G may be found b efore the group itself is proven to exist. Characters possess many importa nt properties\, one of which is serving as a basis for functions that are invariant under conjugacy classes. In this talk\, we will demonstrate how this property can be used to derive explicit formulas for counting solutio ns to certain equations within G. Furthermore\, time permitting\, we will explore how these formulas can be applied to compute geometric invariants of certain varieties. This talk is particularly relevant to students plann ing to take a course in representation theory.Part II\n Title 2: Represent ations of Yokonuma-Hecke algebras and E-polynomials of wild Character Vari etiesAbstract 2: Counting the number of points on a variety over finite fi elds allows us to deduce its E-polynomial in some cases. One application o f this approach is in studying Character Varieties\, which has yielded suc cessful results. Calculating E-polynomials of wild character varieties by point-counting methods over finite fields involves closed formulas for cer tain columns of the character table of Hecke algebras of finite groups of Lie type studied by Yokonuma. These algebras can be studied through deform ations of group algebras that simplify the computations. This is a work in progress in collaboration with Emiliano Liwski. \n\n//indico.ictp.it/even t/10288/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10288/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminars DTSTART;VALUE=DATE-TIME:20230309T141500Z DTEND;VALUE=DATE-TIME:20230309T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10301@ictp.it DESCRIPTION:\n 15:15 - 16:15 Hamza Ounesli (SISSA)Existence of invariant m easures for circle expanding maps of low regularityAbstract: In this talk I will start by giving a brief introduction to expanding dynamical systems \, recall some known results on the ergodic theory of this class of maps a nd motivate some on-going open problems. The second part will be more orie nted towards my current research and present some partial results.\n 16:15 - 16:30 break\n 16:30 - 17:30 Dominic Veconi (ICTP)Super-expanding measur es of one-dimensional Lorenz-type mapsAbstract: In this seminar\, I will d iscuss recent work of F. Pedreira and V. Pinheiro examining a dense family of expanding Lorenz-type of the interval with infinite Lyapunov exponent. Pedreira and Pinheiro use inducing schemes to show that if the singularit y of a Lorenz-type map has fast recurrence to itself\, then the resulting map admits an infinite Lyapunov exponent\; on the other hand\, slow recurr ence of the singularity to itself results in a finite Lyapunov exponent. I will discuss in detail how inducing schemes and weak Gibbs-Markov structu res are used to prove that an interval map with fast recurrence of the sin gularity has infinite Lyapunov exponent.Everyone is welcome to attend \n\n //indico.ictp.it/event/10301/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10301/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Seminar on "Super-expanding measures of one-dime nsional Lorenz-type maps" DTSTART;VALUE=DATE-TIME:20230317T141500Z DTEND;VALUE=DATE-TIME:20230317T161500Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10308@ictp.it DESCRIPTION:\n Abstract: In this seminar\, I will discuss recent work of F . Pedreira and V. Pinheiro examining a dense family of expanding Lorenz-ty pe of the interval with infinite Lyapunov exponent. Pedreira and Pinheiro use inducing schemes to show that if the singularity of a Lorenz-type map has fast recurrence to itself\, then the resulting map admits an infinite Lyapunov exponent\; on the other hand\, slow recurrence of the singularity to itself results in a finite Lyapunov exponent. I will discuss in detail how inducing schemes and weak Gibbs-Markov structures are used to prove t hat an interval map with fast recurrence of the singularity has infinite L yapunov exponent.\n\n//indico.ictp.it/event/10308/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10308/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA/ICTP Course on "Solving Non-linear Equations with Linear Alg ebra" DTSTART;VALUE=DATE-TIME:20230327T130000Z DTEND;VALUE=DATE-TIME:20230330T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10290@ictp.it DESCRIPTION:\n This is a recurring meeting\, therefore please register jus t once for all 4 sessions:https://zoom.us/meeting/register/tJYpdeuhpz4sGtw arMoaPI4mdWtAYy2szbyU\n
\n \n Timetable \n Monday\, 27 March\, 15:00-1 7:00\n Tuesday\, 28 March\, 15:00-17:00\n Wednesday\, 29 March\, 15:00-17: 00\n Thursday\, 30 March\, 15:00-17:00Venue (for in-person participants)\n Stasi Lecture Hall (Leonardo da Vinci Building\, first floor)AbstractThe task of solving non-linear polynomial equations has many applications in s cience and technology. Macaulay\, Buchberger and others developed the theo retical ground to solve them in the 1930's and 60's via Groebner bases and elimination theory. More recently\, Lazard\, Faugere and others reframed the problem in linear algebra terms\, allowing important improvements in t he algorithmic complexity.\n In this course we walk this path. First\, we develop the necessary theory from algebraic geometry. We then focus on the relation between Groebner bases and linear algebra. And finally\, we disc uss the complexity of the algorithms to compute Groebner bases using linea r algebra.\n \n\n//indico.ictp.it/event/10290/ LOCATION:Hybrid Stasi Lecture Hall and Zoom URL://indico.ictp.it/event/10290/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINARS DTSTART;VALUE=DATE-TIME:20230328T130000Z DTEND;VALUE=DATE-TIME:20230328T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10313@ictp.it DESCRIPTION:\n 15:00: Giovanni Panti (University of Udine)\n Title: Attrac tors of dual continued fractionsAbstract: Given a Farey-type map F with fu ll branches in the extended Hecke group Gamma_m\, its dual F_# results fro m constructing the natural extension of F\, letting time go backwards\, an d projecting. Although numerical simulations may suggest otherwise\, we sh ow that the domain of F_# is always tame\, that is\, it always contains in tervals. As a main technical tool we construct\, for every m=3\,4\,5\,...\ , a homeomorphism M_m that simultaneously linearizes all maps with branche s in Gamma_m\, and show that the resulting dual linearized iterated functi on system satisfies the strong open set condition. We explicitly compute t he Holder exponent of every M_m\, generalizing Salem's results for the Min kowski question mark function M_3.\n 16:15: Ayreena Bakhtawar (Scuola Norm ale Superiore di Pisa)\n Title: Improvements to Dirichlet's theorem in Dio phantine approximationAbstract: Diophantine Approximation is a branch of N umber Theory in which the central theme is understanding how well real num bers can be approximated by rationals. Dirichlet’s theorem (1842) is a f undamental result that gives an optimal approximation rate of any irration al number. The set of real numbers for which Dirichlet's theorem admits an improvement was originally studied by Davenport and Schmidt. In this talk I will discuss some new metrical results for the set of Dirichlet improva ble numbers.\n\n//indico.ictp.it/event/10313/ LOCATION:ICTP Galileo Guest House - Fibonacci Lecture Room URL://indico.ictp.it/event/10313/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR: Geography of surfaces of general type: Construction of Savage surfaces DTSTART;VALUE=DATE-TIME:20230411T083000Z DTEND;VALUE=DATE-TIME:20230411T093000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10324@ictp.it DESCRIPTION:\n Registration link (for those attending on-line):https://zoo m.us/meeting/register/tJAkdu-uqzkrGNPiP0rLXSuM5bSbSaX5BeDX\n Abstract: In this talk\, we explore a technique to construct a surface S of general typ e\, as a complete intersection of a product of two surfaces X and Y\, such that the Chern numbers of X and Y control the Chern numbers of S\, as wel l as its fundamental group. LEF line bundles are a primary tool\, so we wi ll briefly introduce them. We will show how to use LEF bundles to handle t he geographical problem of populating the interval [1\, 3] densely with Ch ern slopes of minimal surfaces of general type and a fixed fundamental gro up. The surfaces that solve such problems are known as Savage Surfaces.Joi nt work with Giancarlo Urzúa.\n \n \n\n//indico.ictp.it/event/10324/ LOCATION:Hybrid Luigi Stasi Seminar Room + Zoom URL://indico.ictp.it/event/10324/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR: Connections on algebraic Schemes and their differential Galois Groups DTSTART;VALUE=DATE-TIME:20230426T120000Z DTEND;VALUE=DATE-TIME:20230426T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10338@ictp.it DESCRIPTION:\n Abstract: Connections on algebraic schemes generalize linea r differential equations. Their study is motivated by Hilbert's 21st probl em and Galois theory of solving polynomial equations. Hilbert's 21st probl em asks about a correspondence between linear differential equations on a punctured complex plane and representations of its fundamental group. This is nowaday known as the Riemann-Hilbert correspondence. Some geometric f eatures of a connection are captured in its monodromy group\, which relate s to the fundamental group mentioned above and Galois' theory. This group is henceforth called the differential Galois group of the connection.\n In my talk I will report about our recent works on connections over a family of smooth schemes parameterized by a curve and their differential Galois group.\n \n \n\n//indico.ictp.it/event/10338/ LOCATION:Physical Luigi Stasi Seminar Room URL://indico.ictp.it/event/10338/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP COMPLEX DIFFERENTIAL GEOMETRY SEMINARS DTSTART;VALUE=DATE-TIME:20230512T121500Z DTEND;VALUE=DATE-TIME:20230512T141500Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10361@ictp.it DESCRIPTION:\n 14:00 -15:00 - Reza Seyyedali (IPM\, Teheran\, Iran)Some a priori estimate for constant scalar curvature Kahler metricsAbstract: The problem of existence of constant scalar curvature Kahler metrics (cscK) on compact Kahler manifolds has been studied for many years. In the case of complex one dimension\, the answer is provided by the uniformization theor em. It states that any compact Riemann surface admits a metric of constant Gaussian curvature. One way to prove this fact is to solve a semi linear elliptic equation. In higher dimensions\, cscK metrics satisfy a fully non linear fourth order elliptic equation. It is extremely difficult to deal w ith such equations partially due to lack of maximum principle. In a recent breakthrough\, Chen and Cheng proved some important a priori estimates fo r cscK metrics. More generally they showed that in a given Kahler class\, the set of metrics with uniform bounded scalar curvature and bounded relat ive entropy is compact in C^{\\infty} topology. In a joint work with Z. Lu \, we generalized their results. Mainly\, we replace the uniform boundedne ss assumption on scalar curvature with some L^p boundedness.\n 15:15 - 16: 15 - Romina M. Arroyo (FAMAF & CIEM - Universidad Nacional de Cordoba\, Ar gentina)Invariant SKT structures on nilmanifoldsAbstract: A very active re search field in complex geometry arises from imposing Hermitian metrics wi th special properties. One of the most studied cases is the one of "strong Kähler with torsion" (SKT for short) geometry. In this talk\, we will in troduce SKT Hermitian manifolds\, with a particular emphasis on invariant SKT structures on Lie groups. After that\, we will discuss the existence o f invariant SKT structures on nilmanifolds. More precisely\, we will prove that an invariant SKT structure on a nilmanifold forces the nilmanifold t o be at most 2-step nilpotent and we will provide examples of invariant SK T structures on 2-step nilmanifolds in arbitrary dimensions. This talk is based on a joint work with Marina Nicolini.All are welcome to attend \n\n/ /indico.ictp.it/event/10361/ LOCATION:IGAP (former Sissa Building) Lecture room 205 URL://indico.ictp.it/event/10361/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA/ICTP Course on "Introduction to Nonlinear Filtering Theory t oward Particle Filtering" DTSTART;VALUE=DATE-TIME:20230515T080000Z DTEND;VALUE=DATE-TIME:20230518T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10306@ictp.it DESCRIPTION:\n This is a recurring meeting\, therefore please register jus t once for all 4 sessions:https://zoom.us/meeting/register/tJcldOuppjIpGNN liClqvaXYFEJG7p2397Q1\n
\n \n Timetable \n Monday\, 15 May\, 10:00-12: 00\n Tuesday\, 16 May\, 10:00-12:00\n Wednesday\, 17 May\, 10:00-12:00\n T hursday\, 18 May\, 10:00-12:00Venue (for in-person participants)\n Stasi L ecture Hall (Leonardo da Vinci Building\, first floor)Abstract\n Nonlinea r filtering is one of the main approaches to tackle many problems involvin g with fields such as financial mathematics\, engineering sciences\, fluid dynamics\, physics\, etc. Unfortunately\, it is impossible to obtain anal ytical solutions for most of the stochastic nonlinear filtering models ass ociated with the practical problems arising in the abovementioned fields\, excepting a small number of simple cases. Particle filtering plays an imp ortant role to solve such stochastic nonlinear filtering models numericall y. In this short course\, we are going to provide an introductory knowledg e on nonlinear filtering theory and associated particle filtering approach . First\, we will define the nonlinear filtering problem and then\, step b y step\, we will discuss the necessary tools (such as conditional expectat ion\, Bayes formula\, normalized and unnormalized conditional measures\, N ovikov’s condition\, Girsanov transformation\, Kallianpur-Striebel formu la\, etc.) to derive the measure-valued filtering equations known as Zakai equation and FKK equation. Then we will discuss a couple of particle filt ering algorithms such as Monte-Carlo method\, branching particle method\, etc.\n \n \n \n\n//indico.ictp.it/event/10306/ LOCATION:Hybrid Stasi Lecture Hall and Zoom URL://indico.ictp.it/event/10306/ END:VEVENT BEGIN:VEVENT SUMMARY:Lifting Differential Equations: an Introduction DTSTART;VALUE=DATE-TIME:20230518T120000Z DTEND;VALUE=DATE-TIME:20230518T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10365@ictp.it DESCRIPTION:Abstract: I will explain how group cohomology can be used in c ertain lifting constructions for differential equations (joint with Ilia G aiur).\n\n//indico.ictp.it/event/10365/ LOCATION:ICTP Galileo Guest House - Fibonacci Lecture Room URL://indico.ictp.it/event/10365/ END:VEVENT BEGIN:VEVENT SUMMARY:SPECIAL LECTURE ON "Periods of modular forms\, continued fractio ns\, and generalizations" DTSTART;VALUE=DATE-TIME:20230518T080000Z DTEND;VALUE=DATE-TIME:20230518T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10368@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJEpcOurrTsiHtAdPvhuDn-X8UskTVI7v4Gn\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: Modular forms are among the most beautiful and most fer tile objects in all of number theory\, with innumerable surprising propert ies. One of these\, going back to the work of Eichler and Shimura in the 1 960s and of my recently deceased colleague Manin in the 1970s\, is that on e can associate to every modular form a certain polynomial\, its so-called period polynomial\, without losing any information\, thus in some sense r educing an a priori completely transcendental theory to the study of finit e and algebraic objects.\n The lecture will be divided into two parts\, wi th a break in between to allow people to escape. In the first part I will explain briefly the definition and basic properties of modular forms and t heir period polynomials and will describe one or two particularly nice app lications. The second part will address the question of reconstructing a c usp form from its period polynomial. I will indicate a complete solution o f this problem for the case of the full modular group relying on an elemen tary but not obvious lemma about the continued fraction expansion of real numbers\, and will also explain how the attempt to generalize this stateme nt to other modular groups led in a natural way to a conjecture about the dynamics of general Fuchsian groups that has been checked in many cases bu t is still open after more than 25 years.\n\n//indico.ictp.it/event/10368/ LOCATION:ICTP Hybrid Seminar - Galileo Guest House - Fibonacci Lecture Roo m URL://indico.ictp.it/event/10368/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP-IGAP COMPLEX DIFFERENTIAL GEOMETRY SEMINAR: Valuative stabili ty for fibrations DTSTART;VALUE=DATE-TIME:20230522T090000Z DTEND;VALUE=DATE-TIME:20230522T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10372@ictp.it DESCRIPTION://indico.ictp.it/event/10372/ LOCATION:Old SISSA Building IGAP lecture room 305 URL://indico.ictp.it/event/10372/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINAR: Proof of the Verjovsky Conjecture DTSTART;VALUE=DATE-TIME:20230523T140000Z DTEND;VALUE=DATE-TIME:20230523T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10376@ictp.it DESCRIPTION:\n Abstract: In the early 70's Alberto Verjovsky conjectured t hat every co-dimension one Anosov flow on a manifold of dimension at least four is topologically equivalent to a suspension over hyperbolic total au tomorphism. In particular in dimension four\, the conjecture says that the re exists only one topological equivalence class of Anosov flows. This pro blem can be interpreted as part of one of Smale's problems: Which manifold s can support a hyperbolic dynamical system? In this talk we prove that th is conjecture is true. Anosov flows are central examples of chaotic system s. We will give a general overview of the different type of Anosov flows a nd show how our result gives an important step toward a more general class ification. We will also discuss some topological obstructions for a manifo ld to support such a system.\n\n//indico.ictp.it/event/10376/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10376/ END:VEVENT BEGIN:VEVENT SUMMARY:The variance of a general class of multiplicative functions in sho rt intervals DTSTART;VALUE=DATE-TIME:20230530T120000Z DTEND;VALUE=DATE-TIME:20230530T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10382@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJEpc-qrpjsrH9ZNpox8ieRFL_mKVul_NUTe\n After registering\, you will receive a confirmation email containing information about joining the meeting.Abstract: In this talk\, we shall discuss a general class of mult iplicative functions by relating "short averages" to its "long average". M ore precisely\, we shall talk about estimating the variance of such a clas s of functions in short intervals asymptotically\, using Fourier analysis and counting rational points on certain binary forms. Our result is applic able to the interesting multiplicative functions\, namely\, $k$-free numbe rs\, Euler's totient function\, generalized divisor function\, and many ot hers that establish various new results and improvements in short interval s to the literature. This is joint work with Pranendu Darbar.\n\n//indico. ictp.it/event/10382/ LOCATION:ICTP (and Zoom) Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10382/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR on 'Superlinear Structures and Conformal Geo metry' DTSTART;VALUE=DATE-TIME:20230606T080000Z DTEND;VALUE=DATE-TIME:20230606T093000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10383@ictp.it DESCRIPTION:Venue (for in-person attendees)\nGalileo Guest House\, Fibonac ci Lecture Room\nPlease register here to attend the seminar in remote:http s://zoom.us/meeting/register/tJ0qdO6tpjMpG9DHUCUvlHGq70pHQPYCV96gAbstract: \n\n Superlinear structures\, or more precisely symmetric monoidal tensor structures\, implicitly appeared in mathematics and physics long time ago\ , among others having roots dating back to Graßmann calculus in mathemati cs and the study of Fermi statistics and the Dirac exclusion principle in physics\, later emphasised in supergravity and string theory. On the other hand\, conformal geometry also dates back to the 19th century. It emerged in physics through the study of conformal invariant theories. Seeking uni fied structures in regard of the Coleman-Mandula no-go-theorem\, this was brought together with supersymmetry and lead to the concepts of superconfo rmal symmetry groups and superconformal field theories. In this lecture we first give an overview of the underlying basic mathematical notions of su perlinearity and conformal geometry. Then we draw some mathematical conclu sions\, mainly from a representation theoretic perspective. Finally we dis cuss certain results from representation theory\, that could be possibly r elevant for some new relationship between the standard model and superconf ormal field theories. \n\n\n\n//indico.ictp.it/event/10383/ LOCATION:Hybrid Galileo Guest House - Fibonacci Lecture Room and Zoom URL://indico.ictp.it/event/10383/ END:VEVENT BEGIN:VEVENT SUMMARY:ANALYSIS SEMINAR: Up to the Boundary Gradient Estimates in Bernoul li Type Free Boundary Problems DTSTART;VALUE=DATE-TIME:20230606T120000Z DTEND;VALUE=DATE-TIME:20230606T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10387@ictp.it DESCRIPTION:\n \n This is a hybrid event.\n For those wishing to attend vi a Zoom\, please find the registration link below:https://zoom.us/meeting/r egister/tJAocOuuqjspHtW53m3OerHXdGhkhDtous5K#/registrationAbstract: In thi s talk\, we discuss recent advances on up to the boundary gradient estimat es for viscosity solutions of free boundary problems governed by fully non linear and quasilinear equations with unbounded coecients. We present the new Inhomogeneous Pucci Barriers as new elements for the proof. If time pe rmits\, we discuss some of the main steps in the proof\, namely\, the trac e estimate of the solution on the points of the xed boundary that projects nontangentially over the free boundary. These methods are inspired by som e ideas of Carlos Kenig in Harmonic Analysis.\n\n//indico.ictp.it/event/10 387/ LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room and Zoom URL://indico.ictp.it/event/10387/ END:VEVENT BEGIN:VEVENT SUMMARY:TRINO-MATH SEMINAR ON "Flags on Fano 3-fold hypersurfaces" DTSTART;VALUE=DATE-TIME:20230607T150000Z DTEND;VALUE=DATE-TIME:20230607T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10394@ictp.it DESCRIPTION:\n Abstract: The existence of Kaehler-Einstein metrics on Fano 3-folds can be determined by studying some positive numbers called stabil ity thresholds. K-stability is ensured if appropriate bounds can be found for these thresholds. An effective way to verify such bounds is to constru ct flags of point-curve-surface inside the Fano 3-folds. This approach was initiated by Abban-Zhuang\, and allows us to restrict the computation of bounds for stability thresholds only on flags. We employ this machinery to prove K-stability of terminal quasi-smooth Fano 3-fold hypersurfaces. Man y of these varieties had been attacked by Kim-Okada-Won using log canonica l thresholds. In this talk I will tackle the remaining Fano hypersurfaces via Abban-Zhuang Theory.\n\n//indico.ictp.it/event/10394/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10394/ END:VEVENT BEGIN:VEVENT SUMMARY:Weighted A Priori Estimates for Solutions of Uniformly Elliptic Sy stems DTSTART;VALUE=DATE-TIME:20230608T120000Z DTEND;VALUE=DATE-TIME:20230608T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10388@ictp.it DESCRIPTION:\n \n This is a hybrid event.\n For those wishing to attend vi a Zoom\, please find the registration link below:https://zoom.us/meeting/r egister/tJUudO2rqjspHNImQEATGqNb1776hABWKnRW#/registration\n Abstract: see file below\n\n//indico.ictp.it/event/10388/ LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room and Zoom URL://indico.ictp.it/event/10388/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA/ICTP Course on "Free Boundary Constant Mean Curvature Hypers urfaces" DTSTART;VALUE=DATE-TIME:20230612T130000Z DTEND;VALUE=DATE-TIME:20230615T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10309@ictp.it DESCRIPTION:\n This is a recurring meeting\, therefore please register jus t once for all 4 sessions:https://zoom.us/meeting/register/tJ0vcOmtrz8iG9I hp1iM4_ZKCjl_5jW8CSMq\n
\n \n Timetable \n Monday\, 12 June\, 15:00-17 :00\n Tuesday\, 13 June\, 15:00-17:00\n Wednesday\, 14 June\, 15:00-17:00\ n Thursday\, 15 June\, 15:00-17:00AbstractOne of the most extensively stud ied topics in Differential Geometry is minimal surfaces. This subject has connections with a wide range of mathematics areas\, such as complex analy sis\, partial differential equations and topology. A classic problem in th is context is the Plateau problem and recently much attention has been giv en to problems with the free boundary condition.This is a mini-course at m aster/beginning of PhD level. We are going to study problems about stabili ty and classification for constant mean curvature (CMC) surfaces with the free boundary condition in certain spaces.\n \n \n\n//indico.ictp.it/event /10309/ LOCATION:ONLINE URL://indico.ictp.it/event/10309/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP-IGAP COMPLEX DIFFERENTIAL GEOMETRY SEMINAR - Finite Time Sing ularity of the Chern-Ricci Flow DTSTART;VALUE=DATE-TIME:20230612T120000Z DTEND;VALUE=DATE-TIME:20230612T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10396@ictp.it DESCRIPTION:\n Abstract:\n The Chern-Ricci flow is an evolution equation o f Hermitian metrics by their Chern-Ricci form\, first introduced by Gill. Building on recent works\, we describe explicit solutions to the Chern-Ric ci flow for various non-Kähler surfaces. We establish new estimates in th e case of finite time non-collapsing\, analogous to some known results for the Kähler-Ricci flow. This allows us to show that finite time non-colla psing singularities of the Chern-Ricci flow on compact complex (non-Kähle r) manifolds form along analytic subsets\, analogous to some known results for the Kähler-Ricci flow\, thus partially answering a question of Tosat ti-Weinkove.\n\n//indico.ictp.it/event/10396/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10396/ END:VEVENT BEGIN:VEVENT SUMMARY:Hopf-Galois Extensions and Applications DTSTART;VALUE=DATE-TIME:20230616T120000Z DTEND;VALUE=DATE-TIME:20230616T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10393@ictp.it DESCRIPTION:\n This is a hybrid event.\n To attend in remote\, kindly regi ster in advance through https://zoom.us/meeting/register/tJcvcOyvqjsjHd39 bPbAAAYWQIWsCbRU208sAbstract: Hopf-Galois theory is a generalization of th e classical Galois theory. The concept of Hopf-Galois extension is due to Chase and Sweedler. They introduced it in 1969 to study purely inseparable extensions of fields and ramified extensions of rings. Then\, in 1987\, G reither and Pareigis developed Hopf-Galois theory for separable field exte nsions.In this talk\, we first describe minimal Hopf-Galois structures of separable field extensions. Then we present normal bases of some Hopf-Galo is extensions\, namely those constructed from algebraic curves. And then w e describe the resulting arithmetic properties. \n \n  \n\n//indico.ictp. it/event/10393/ LOCATION:HYBRID Leonardo da Vinci Bldg - Luigi Stasi Seminar Room and Zoom URL://indico.ictp.it/event/10393/ END:VEVENT BEGIN:VEVENT SUMMARY:The Euclidean algorithm on number fields and related problems DTSTART;VALUE=DATE-TIME:20230619T113000Z DTEND;VALUE=DATE-TIME:20230619T123000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10404@ictp.it DESCRIPTION:\n Hybrid seminar\n Register in advance for this meeting:https ://zoom.us/meeting/register/tJwlcu6grjkiE9DZRUZ4e9v-WMowkvUM4Ris\n After r egistering\, you will receive a confirmation email containing information about joining the meeting.Abstract: The Euclidean Algorithm is a method fo r determining the greatest common divisor of two integers. In this talk\, we will study the Euclidean algorithm for integral domains\, particularly focusing on the ring of integers of an algebraic number field. Specificall y\, we will explore the Euclidean algorithm for abelian number fields of s mall degrees and the Euclidean algorithm for ideal classes. If time permit s\, we will also discuss some of our recent results on class numbers of qu adratic number fields. This is joint work with K. Srinivas\, Jaitra Chatto padhyay\, and Usha K Sangale. \n\n//indico.ictp.it/event/10404/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10404/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA/ICTP Course on "Hessians and the Lefschetz Properties" DTSTART;VALUE=DATE-TIME:20230626T130000Z DTEND;VALUE=DATE-TIME:20230629T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10323@ictp.it DESCRIPTION:\n This is a recurring meeting\, therefore please register jus t once for all 4 sessions:https://zoom.us/meeting/register/tJEsd-2gqTMjHtP hoQcjH6ZdwA3UY7m3gp6b\n
\n \n Timetable \n Monday\, 26 June\, 15:00-17 :00\n Tuesday\, 27 June\, 15:00-17:00\n Wednesday\, 28 June\, 15:00-17:00\ n Thursday\, 29 June\, 15:00-17:00AbstractIn this course we revisit classi cal problems involving hypersurfaces with vanishing Hessian\, we present t he structure of standard graded Artinian Gorenstein algebras and the notio ns of higher order Hessians. We show how these Hessians control the Lefsch etz properties of the algebra and we link it with the classical theory.\n \n \n \n\n//indico.ictp.it/event/10323/ LOCATION:ONLINE URL://indico.ictp.it/event/10323/ END:VEVENT BEGIN:VEVENT SUMMARY:TRINO - Algebraic Geometry Seminar on "Non-commutative abelian sur faces and generalized Kummer varieties" DTSTART;VALUE=DATE-TIME:20230718T140000Z DTEND;VALUE=DATE-TIME:20230718T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10421@ictp.it DESCRIPTION:\n Abstract: Examples of non-commutative K3 surfaces arise fro m semiorthogonal decompositions of the bounded derived category of certain Fano varieties. The most interesting cases are those of cubic fourfolds a nd Gushel-Mukai varieties of even dimension. Using the deep theory of fami lies of stability conditions\, locally complete families of hyperkähler m anifolds deformation equivalent to Hilbert schemes of points on a K3 surfa ce have been constructed from moduli spaces of stable objects in these non -commutative K3 surfaces. On the other hand\, an explicit description of a locally complete family of hyperkähler manifolds deformation equivalent to a generalized Kummer variety is not yet available. In this talk we will construct families of non-commutative abelian surfaces as equivariant cat egories of the derived category of K3 surfaces which specialize to Kummer K3 surfaces. Then we will explain how to induce stability conditions on th em and produce examples of locally complete families of hyperkähler manif olds of generalized Kummer deformation type. This is a joint work in progr ess with Arend Bayer\, Alex Perry and Xiaolei Zhao.\n\n//indico.ictp.it/ev ent/10421/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10421/ END:VEVENT BEGIN:VEVENT SUMMARY:Mini-Workshop on Dynamical Systems DTSTART;VALUE=DATE-TIME:20230807T091500Z DTEND;VALUE=DATE-TIME:20230808T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10438@ictp.it DESCRIPTION:\n The ICTP Mathematics Section is organizing a Mini-Workshop on Dynamical System to be held in the Luigi Stasi Seminar Room (Leonardo B uilding\, first floor) on Monday 7 August and Tuesday 8 August.\n Below is the programme of the event.Monday 7 August11:15-12:15 - Speaker: Amin Tal ebi (Sharif University\, Iran)\n Title: Statistical instability and non-st atistical dynamics\n Abstract: Previously\, the notion of statistical stab ility had been defined for certain classes of maps\, having some specified properties\, such as existence of unique phisical measure with full basin . We will give a general formalization of this notion in the general case\ , regardless of the statistical properties of the maps we consider. Then w e will show how statistical instability can imply the existence of non-sta tistical maps\, which are those maps for which a set of positive measure h ave non-convergent sequence of empirical measures.13:30-14:30  - Speaker: Hamza Ounesli (ICTP & SISSA\, Italy)\n Title: Dynamics of uniformly expan ding maps in low regularity.\n Abstract: in this seminar I will start by r ecalling the history behind the ergodic theory of expanding maps and the t echniques involved in their study\, as we will see\, these techniques were developed under the assumption that our maps are regular enough. The main topic of the seminar is to explore the underground world of very low regu lar expanding maps.Tuesday 8 August11:00-12:00 - Speaker: Asad Ullah (Univ ersidade de Beira Interior\, Portugal)\n Title: Decay of Correlations via Induced Weak Gibbs Markov maps.\n Abstract: L. S. Young introduced induced Gibbs Markov maps in 1998 and 1999. She showed that the existence of indu ced Gibbs Markov maps with integrable return time implies the existence of an exact invariant absolutely continuous probability measure with respect to reference measure\, and the rate of decay of correlations is related t o the tail of the return time. In this talk\, I will discuss how to obtain similar results under weaker assumptions\, which allows the induced map n ot necessarily to be a full branch.This is a joint work with Helder Vilari nho\, UBI & CMA-UBI13:00-14:00 - Speaker: Bernardo Carvalho (Rome Tor Verg ata\, Italy)\n Title: Chaos theory and hyperbolic dynamics\n Abstract: In this talk I will discuss relations between chaotic and hyperbolic systems. More specificaly\, how we can obtain known results from hyperbolic dynami cs using stronger notions of sensitivity to initial conditions. I will bri efly explain expansiveness\, topological hyperbolicity\, cw-expansiveness\ , cw-hyperbolicity\, and first-time sensitivity.14:15-15:15 - Speaker: Gio vanni Panti (University of Udine\, Italy)\n Title: Iterated function syste ms\, cookie-cutters\, and continued fractions\n Abstract: An iterated func tion system\, possibly a graph-directed one\, determines an attractor\, wh ich can also be seen as the repeller of a cookie-cutter map. In certain ca ses these maps are Gauss-like and amount to continued fraction algorithms. We present the basics of this crossroad between dynamics and number theor y\, focusing on open problems.\n\n//indico.ictp.it/event/10438/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10438/ END:VEVENT BEGIN:VEVENT SUMMARY:Stability of homogeneous Einstein manifolds DTSTART;VALUE=DATE-TIME:20230901T120000Z DTEND;VALUE=DATE-TIME:20230901T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10521@ictp.it DESCRIPTION:Register in advance for this meeting:https://zoom.us/meeting/r egister/tJwtd-qhrj0vHN3ebbfRccva7AtSIJLWhC6K\nAfter registering\, you will receive a confirmation email containing information about joining the mee ting.\n Abstract: Given a compact differentiable manifold M\, the critical points of the total scalar curvature functional Sc on the space of all un it volume Riemannian metrics on M are called Einstein metrics and play a f undamental role in Differential Geometry and Physics. Among Einstein metri cs with positive scalar curvature\, those which are stable as critical poi nts of Sc (i.e.\, negative definite Hessian) on the subspace of all consta nt scalar curvature metrics\, and in particular local maxima\, seems to be extremely rare.\n In this talk\, after some general preliminaries\, we wi ll focus on the case when the metrics and the variations are G-invariant f or some compact Lie group G acting transitively on M. The standard metrics (i.e.\, defined by minus the Killing form of G) and Kähler metrics which are Einstein will be specially treated.\n This is joint work with Emilio Lauret (Universidad Nacional del Sur and INMABB (CONICET)\, Argentina) and Cynthia Will (Universidad Nacional de Córdoba and CIEM (CONICET)\, Argen tina).\n\n//indico.ictp.it/event/10521/ LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10521/ END:VEVENT BEGIN:VEVENT SUMMARY:E-polynomials of Character Varieties of Free Groups DTSTART;VALUE=DATE-TIME:20230906T120000Z DTEND;VALUE=DATE-TIME:20230906T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10453@ictp.it DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin g/register/tJEtcO-grT0qHtDM_isR6bZFPtD7IXY58Y_o\n After registering\, you will receive a confirmation email containing information about joining the meeting.Please see the attached abstract\n\n//indico.ictp.it/event/10453/ LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10453/ END:VEVENT BEGIN:VEVENT SUMMARY:Math & High Energy Physics Seminar: Comments on Hadamard Products DTSTART;VALUE=DATE-TIME:20230907T090000Z DTEND;VALUE=DATE-TIME:20230907T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10530@ictp.it DESCRIPTION:\n Abstract: I will speak about period integrals of the holomo rphic threeform on certain compact Calabi-Yau threefolds. In specific exam ples\, we will see that it's possible to construct explicit three-cycles o n an auxiliary geometry in such a way that the period integrals agree with those on the Calabi-Yau threefold. Moreover\, we will see in specific exa mples that one can study the special Lagrangian condition on the auxiliary geometry (specifically\, the constraint on the holomorphic threeform). Th is leads to a construction reminiscent of spectral/exponential networks th at have previously appeared in the literature. This is part of some ongoin g work\, motivated by connections between arithmetic geometry of certain C alabi-Yau manifolds and the attractor mechanism of IIB supergravity.\n\n// indico.ictp.it/event/10530/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10530/ END:VEVENT BEGIN:VEVENT SUMMARY:One Day Workshop on "Trieste Tangles: From Topology to Fractals to Complex Dynamics" DTSTART;VALUE=DATE-TIME:20230913T083000Z DTEND;VALUE=DATE-TIME:20230913T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10533@ictp.it DESCRIPTION:Morning (10:30 - 12:30) - Venue: Fibonacci lecture room (Galil eo Guest House)\n \n10:30 Jernej Činč (ICTP\, Italy and University of M aribor\, Slovenia)\n \nTitle: Lebesgue measure-preserving maps on one-dim ensional manifolds\n Abstract: In this talk I will survey recent advances in the study of Lebesgue measure-preserving maps on one-dimensional compa ct connected manifolds with particular emphasis on the circle case. If tim e permits I will also argue that there exists an open dense set of Lebesgu e measure-preserving circle maps which satisfy a very strong topological e xpansion property. The talk is based on joint works with Jozef Bobok (CVUT Prague)\, Serge Troubetzkoy (Aix-Marseille) and Piotr Oprocha (AGH Krakow & IRAFM Ostrava).\n \n \n11:30 Siniša Miličić (University of Pula\, Croatia)\n \nTitle: Box dimensions of stuffed sets\n Abstract: This semi nar delves into the behaviour of box (Minkowski-Bouligand) dimensions of s tuffed sets - sets with locally stable dimension and a compact core part w ith a dimensional jump (spirals\, chirps etc.). We define stuffed sets and analyse how that property drives the box dimension\, with the ultimate ai m of justifying intuitive shortcuts in computing dimensions.\n Afternoon (14:00 - 16:00) - Venue: Luigi Stasi seminar room (Leonardo Da Vinci Build ing)\n \n14:00 Shaun Bullett (Queen Mary University of London\, UK)\nTitl e: Dynamics of holomorphic correspondences I: a guided tour of a family of examples\n \n15:00 Luna Lomonaco (IMPA\, Rio de Janeiro\, Brazil)\nTitle : Dynamics of holomorphic correspondences II: matings between quadratic ma ps and the modular group\n Joint Abstract for the above two talks:\nA hol omorphic correspondence on the Riemann sphere is a multivalued map z->w de fined by a polynomial relation P(z\,w)=0. This definition generalises thos e of a rational map and of a finitely generated Kleinian group\, putting t hem into a common framework. An iterated correspondence may simultaneously exhibit the behaviour of a rational map of one part of the Riemann sphere and of a Kleinian group on another\, in which case we describe it as a ma ting between the map and the group.\n \nThe first talk will describe the dynamical behaviour of the simplest 2-parameter family of holomorphic corr espondences. With Christopher Penrose the speaker identified certain membe rs of this family as matings between quadratic polynomials and the modular group\, and in their 1994 Inventiones paper these authors made a series o f conjectures concerning the family of such matings. The second speaker in troduced a new tool to the problem: the theory of parabolic-like mappings. In her talk she will give an overview of how she and the first speaker ha ve together resolved all the 1994 conjectures.\n\n//indico.ictp.it/event/1 0533/ LOCATION:ICTP Fibonacci lect. room & L.Stasi seminar room URL://indico.ictp.it/event/10533/ END:VEVENT BEGIN:VEVENT SUMMARY:Special Lectures in Mathematics and Computation: Big data and comp utation arithmetic geometry DTSTART;VALUE=DATE-TIME:20230914T130000Z DTEND;VALUE=DATE-TIME:20230914T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10535@ictp.it DESCRIPTION:\n \n 15:00 - 16:00: Seminar talk\n \n 16:00 - 17:00: Panel discussion\n \n@font-face\n {font-family:SimSun\;\n panose-1:2 1 6 0 3 1 1 1 1 1\;\n mso-font-alt:宋体\;\n mso-font-charset:134\;\n mso-generic-fo nt-family:auto\;\n mso-font-pitch:variable\;\n mso-font-signature:3 680460 288 22 0 262145 0\;}@font-face\n {font-family:"Cambria Math"\;\n panose-1: 2 4 5 3 5 4 6 3 2 4\;\n mso-font-charset:0\;\n mso-generic-font-family:rom an\;\n mso-font-pitch:variable\;\n mso-font-signature:-536870145 110730572 7 0 0 415 0\;}@font-face\n {font-family:"Ubuntu Light"\;\n panose-1:2 11 3 4 3 6 2 3 2 4\;\n mso-font-alt:﷽﷽﷽﷽﷽﷽﷽﷽\;\n mso-font-char set:0\;\n mso-generic-font-family:swiss\;\n mso-font-pitch:variable\;\n ms o-font-signature:-536870145 1342185563 0 0 159 0\;}@font-face\n {font-fami ly:Ubuntu-Light\;\n panose-1:2 11 3 4 3 6 2 3 2 4\;\n mso-font-alt:Cambria \;\n mso-font-charset:0\;\n mso-generic-font-family:swiss\;\n mso-font-pit ch:variable\;\n mso-font-signature:-536870145 1342185563 0 0 159 0\;}@font -face\n {font-family:"\\@SimSun"\;\n panose-1:2 1 6 0 3 1 1 1 1 1\;\n mso- font-charset:134\;\n mso-generic-font-family:auto\;\n mso-font-pitch:varia ble\;\n mso-font-signature:3 680460288 22 0 262145 0\;}p.MsoNormal\, li.Ms oNormal\, div.MsoNormal\n {mso-style-priority:1\;\n mso-style-unhide:no\;\ n mso-style-qformat:yes\;\n mso-style-parent:""\;\n margin-top:0cm\;\n mar gin-right:0cm\;\n margin-bottom:7.0pt\;\n margin-left:0cm\;\n line-height: 105%\;\n mso-pagination:none\;\n text-autospace:none\;\n font-size:14.0pt\ ;\n mso-bidi-font-size:11.0pt\;\n font-family:"Ubuntu Light"\,sans-serif\; \n mso-ascii-font-family:"Ubuntu Light"\;\n mso-ascii-theme-font:minor-lat in\;\n mso-fareast-font-family:Ubuntu-Light\;\n mso-hansi-font-family:"Ubu ntu Light"\;\n mso-hansi-theme-font:minor-latin\;\n mso-bidi-font-family:U buntu-Light\;\n letter-spacing:-.05pt\;\n mso-ansi-language:EN-GB\;\n mso- fareast-language:EN-US\;}p.PresenterName\, li.PresenterName\, div.Presente rName\n {mso-style-name:"Presenter Name"\;\n mso-style-priority:2\;\n mso- style-unhide:no\;\n mso-style-qformat:yes\;\n margin:0cm\;\n line-height:1 05%\;\n mso-pagination:none\;\n text-autospace:none\;\n font-size:14.0pt\; \n mso-bidi-font-size:11.0pt\;\n font-family:"Ubuntu Light"\,sans-serif\;\ n mso-fareast-font-family:Ubuntu-Light\;\n mso-bidi-font-family:Ubuntu-Lig ht\;\n color:#0A1C47\;\n mso-themecolor:text2\;\n letter-spacing:-.05pt\;\ n mso-ansi-language:EN-GB\;\n mso-fareast-language:EN-US\;}.MsoChpDefault\ n {mso-style-type:export-only\;\n mso-default-props:yes\;\n font-size:11.0 pt\;\n mso-ansi-font-size:11.0pt\;\n mso-bidi-font-size:11.0pt\;\n font-fa mily:"Ubuntu Light"\,sans-serif\;\n mso-ascii-font-family:"Ubuntu Light"\; \n mso-ascii-theme-font:minor-latin\;\n mso-fareast-font-family:SimSun\;\n mso-hansi-font-family:"Ubuntu Light"\;\n mso-hansi-theme-font:minor-latin \;\n mso-bidi-font-family:"Times New Roman"\;\n mso-bidi-theme-font:minor- bidi\;\n mso-ansi-language:EN-US\;\n mso-fareast-language:EN-US\;}.MsoPapD efault\n {mso-style-type:export-only\;\n mso-pagination:none\;\n text-auto space:none\;}div.WordSection1\n {page:WordSection1\;} \n\n Abstract: Arith metic geometry is at the core of pure mathematics but modern advances in c omputing power and algorithms are changing the field. I will focus on rece nt results of the Simons Collaboration "Arithmetic geometry\, number theor y\, and computation". Massive parallel computations are now routinely used to construct large data sets and solve long-standing open problems. Examp les include breakthroughs on representing integers as sums of three cubes\ ; the construction of collections of small-genus curves\, abelian varietie s\, and finite groups on the L-functions and Modular Forms Database\; and the use of delicate floating point computations to rigorously compute alge braic integers and related invariants.\n  *The lecture will be followed b y a panel discussion on the future of extensive computation in sciences (4 -5 pm).\n\n//indico.ictp.it/event/10535/ LOCATION:ICTP Fibonacci lecture room (Galileo Guest House) URL://indico.ictp.it/event/10535/ END:VEVENT BEGIN:VEVENT SUMMARY:Seminars on "Geometric Analysis" DTSTART;VALUE=DATE-TIME:20230915T080000Z DTEND;VALUE=DATE-TIME:20230915T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10531@ictp.it DESCRIPTION:10:00 - 11:00 - Tiarlos Cruz (Universidade Federal de Alagoas - Brazil)On the prescribed curvature problem on the compact Riemannian man ifolds with boundaryAbstract: In this talk\, we will study the set of curv ature functions which a given compact manifold with non-empty boundary can support. We prove that the sign demanded by the Gauss-Bonnet Theorem is a necessary and sufficient condition for a given function to be the geodesi c curvature or the Gaussian curvature of some conformally equivalent metri c. This is based on a joint work with A. Santos and F. Vitório.\n11:30 - 12:30 - Vanderson Lima (Universidade Federal do Rio Grande do Sul - Brazil )Eigenvalue problems and free-boundary minimal surfaces in spherical caps\ nAbstract: In a recent work with Ana Menezes (Princeton University)\, we i ntroduced a family of functionals on the space of Riemannian metrics of a compact surface with boundary\, defined via eigenvalues of a Steklov-type problem. In this talk I will present the ideas behind the following result s: each such functional is uniformly bounded from above\, and the maximizi ng metrics are induced by free boundary minimal immersions in some geodesi c ball of a round sphere\; the maximizer in the case of a disk is a spheri cal cap of dimension two\; free boundary minimal annuli in geodesic balls of round spheres which are immersed by first eigenfunctions are rotational ly symmetric.\n14:15 - 15:15 - Leandro F. Pessoa (Universidade Federal do Piauí - Brazil)Infinity harmonic functions and the splitting of complete manifoldsAbstract: We will start the talk given a brief motivation for the study of splitting results under functional assumptions. Our main goal is to prove a splitting result for a surface whose curvature is non-negative and that supports a non-constant infinity harmonic function with at most linear growth on one side. Moreover\, in this case the infinity harmonic f unction is shown to be linear. This is a joint work with D. Araujo\, M. Ma gliaro and L. Mari. \n\n//indico.ictp.it/event/10531/ LOCATION:ICTP Galileo Guest House - Fibonacci Lecture Room URL://indico.ictp.it/event/10531/ END:VEVENT BEGIN:VEVENT SUMMARY:DYNAMICAL SYSTEMS SEMINAR: Continuity of surgery in the Bullett-Pe nrose family of correspondences DTSTART;VALUE=DATE-TIME:20230915T113000Z DTEND;VALUE=DATE-TIME:20230915T123000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10541@ictp.it DESCRIPTION:\n Abstract: \n Correspondences are multivalued maps that have been used to display behavior that simultaneously resembles rational maps and Kleinian groups. A surgery process has been described to mate quadrat ic polynomials with connected Julia set\, and faithful and discrete repres entations of the modular group with connected regular set.\n We prove that this process is continuous.\n  \n\n//indico.ictp.it/event/10541/ LOCATION: Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10541/ END:VEVENT BEGIN:VEVENT SUMMARY:Quantitative and qualitative estimates on the norm of product of p olynomials DTSTART;VALUE=DATE-TIME:20230919T120000Z DTEND;VALUE=DATE-TIME:20230919T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10542@ictp.it DESCRIPTION:\n Abstract: When for the first time\, in 1987\, a Banach spac e X and a bounded operator T : X  → X with no trivial invariant subspac es was constructed\, two of the many tools used by P.H. Enflo was the “c oncentration of polynomials at low degrees” and a series of estimates on the norm of products of polynomials. The concept of concentration of poly nomials at low degrees has been adapted to other norms and one of these ad aptations falls within the case of sets with gaps or missing portions (the so-called lacunary sets). Here we deepen into the study of these two conc epts and\, among other things\, we present a result on estimates of lacuna ry norms of product of polynomials. \n\n This is a joint work with P. H. E nflo\, G. A. Muñoz-Fernández\, D. L. Rodríguez-Vidanes and J. B. Seoane -Sepúlveda.\n\n \n  \n\n\n\n//indico.ictp.it/event/10542/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10542/ END:VEVENT BEGIN:VEVENT SUMMARY:How big is the set of Birkhoff generic points DTSTART;VALUE=DATE-TIME:20231006T140000Z DTEND;VALUE=DATE-TIME:20231006T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10553@ictp.it DESCRIPTION:\n Join Zoom Meetinghttps://zoom.us/j/95832470887?pwd=SlFZdW4w VTl1ek55Y2JiMTJUOXFSdz09\n  \n Meeting ID: 958 3247 0887\n Passcode: 2303 10Abstract: Given a homeomorphism of a compact metric space and a continuo us function\, I will discuss the question of how big the set of Birkhoff g eneric points associated with the function is. This set plays an important role in studying dynamics of the map. To answer this question I will cons ider various ways of “measuring” a set: by using invariant measures\, computing its Hausdorff dimension\, and determining its Baire category. In the talk I will concentrate on the last characteristic — the Baire cate gory — which gives some information on the topology of the set. This wil l be an introductory talk to the subject and it will be self-contained.\n\ n//indico.ictp.it/event/10553/ LOCATION:HYBRID Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10553/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR & TRINO on "Curve counting on the Enr iques surface and orthogonal modular forms" DTSTART;VALUE=DATE-TIME:20231017T130000Z DTEND;VALUE=DATE-TIME:20231017T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10558@ictp.it DESCRIPTION:\n Abstract: An Enriques surface is the quotient of a K3 surfa ce by a fixed-point free involution. Klemm and Marino conjectured that the Gromov-Witten invariants (which are virtual counts of curves) of the loca l Enriques surface are certain orthogonal modular forms. In particular the genus 1 series recovers Borcherds famous automorphic form on the moduli s pace of Enriques surface. However\, not much is known about the more gener al descendent Gromov-Witten theory of the Enriques surface. In this talk I will first discuss and sketch the proof of the Klemm-Marino formula and t hen explain a conjecture which links the descendent Gromov-Witten invarian ts of the Enriques to orthogonal modular forms in general. If time permits I will give some explicit formulas for point constraints and their descen dents.Additional information can be found on Trino website:https://sites.g oogle.com/view/trinotriestino/home\n\n//indico.ictp.it/event/10558/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10558/ END:VEVENT BEGIN:VEVENT SUMMARY:On anticyclotomic main conjectures for elliptic curves DTSTART;VALUE=DATE-TIME:20231023T140000Z DTEND;VALUE=DATE-TIME:20231023T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10569@ictp.it DESCRIPTION:\n Abstract\n I'll discuss a proof of the Main conjectures of Iwasawa theory for rational elliptic curves over anticyclotomic extensions of imaginary quadratic fields\, following https://arxiv.org/abs/2306.1778 4.\n This is a hybrid event. To join in remote\, please use the link below :https://zoom.us/meeting/register/tJckce-vrjIsGdMJPyfV6Oo5rYjMA_EcCQ24    \n\n//indico.ictp.it/event/10569/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10569/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA/ICTP Course on "Semigroups and Algebraic Geometry Codes" DTSTART;VALUE=DATE-TIME:20231106T140000Z DTEND;VALUE=DATE-TIME:20231109T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10545@ictp.it DESCRIPTION:\n This is a recurring meeting\, therefore please register jus t once for all 4 sessions:https://zoom.us/meeting/register/tJIvdOmqrDsqE9b LMrJrRHRGu2WMpHYdylphTimetable \n Monday\, 6 November\, 15:00-17:00\n Tues day\, 7 November\, 15:00-17:00\n Wednesday\, 8 November\, 15:00-17:00\n Th ursday\, 9 November\, 15:00-17:00Abstract: Check link in the grey box belo w.\n  \n\n \n ***\n Attendees are kindly invited to watch the preparato ry course below\,\n prior to this series of Zoom meetings:\n "An Introdu ction to Algebraic Geometry Codes"\n by Prof. María Chara (Universidad N acional del Litoral\, Argentina)***\n \n \n  \n\n  \n  \n\n//indico.ict p.it/event/10545/ LOCATION:online URL://indico.ictp.it/event/10545/ END:VEVENT BEGIN:VEVENT SUMMARY:ALGEBRAIC GEOMETRY SEMINAR: Quantum K-invariants of Grassmannian v ia Quot scheme DTSTART;VALUE=DATE-TIME:20231107T123000Z DTEND;VALUE=DATE-TIME:20231107T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10573@ictp.it DESCRIPTION:\n Abstract: In this talk\, I will define K-theoretic invarian ts of the Quot scheme that parametrizes rank-r subsheaves of rank-N trivia l bundle on P^1. We use the wall-crossing techniques to show that they agr ee with the genus-zero quantum K-invariants of the Grassmannian G(r\,N) wh en the number of markings is three or fewer. I will present bialternant-ty pe formulas for the K-theoretic Quot scheme invariants. These invariants\, in conjunction with the K-theoretic Littlewood-Richardson rule\, provide a comprehensive description of the Quantum K-invariants of G(r\,N). As an application\, we will derive a new proof of the finiteness of the quantum product and establish new identities and vanishing results.This is a joint work with Ming Zhang.\n \n \n \n\n\n//indico.ictp.it/event/10573/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10573/ END:VEVENT BEGIN:VEVENT SUMMARY:Non-perturbative Topological String on Compact Calabi-Yau 3-folds DTSTART;VALUE=DATE-TIME:20231107T140000Z DTEND;VALUE=DATE-TIME:20231107T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10576@ictp.it DESCRIPTION:\n Abstract: We discuss the techniques for solving the topolog ical string focussing on the recent progress in improving the high genus b oundary conditions by considering the non-commutative resolutions of maxim al unipotent monodromy points with Z2 torsion\, the knowledge of modular D 4-D2-D0 gauge theory indices and wall crossing formulas relating the latte r to Donalsdon-Thomas\, Pandharipande Thomas and finally Gopakunar Vafa in variants. The obtained high order perturbative results are used to confirm and extend analytic non-perturbative results based on resurgence techniqu es and in particular a transseries solution of the holomorphic anomaly equ ations.\n\n//indico.ictp.it/event/10576/ LOCATION:ICTP Room 204\, 2nd floor\, Leonardo Da Vinci Building URL://indico.ictp.it/event/10576/ END:VEVENT BEGIN:VEVENT SUMMARY:Complex Differential Geometry Seminar DTSTART;VALUE=DATE-TIME:20231108T140000Z DTEND;VALUE=DATE-TIME:20231108T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10574@ictp.it DESCRIPTION://indico.ictp.it/event/10574/ LOCATION:IGAP/ IFPU building Room 205\, 1st floor URL://indico.ictp.it/event/10574/ END:VEVENT BEGIN:VEVENT SUMMARY:How to Make Log Structures DTSTART;VALUE=DATE-TIME:20231110T153000Z DTEND;VALUE=DATE-TIME:20231110T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10577@ictp.it DESCRIPTION:\n Abstract: I will speak about endowing a toroidal crossing s pace with a log structure. The eventual aim is to use these log structures to construct smoothings of degenerate Fano varieties. I will assume no pr evious knowledge of log structures and instead develop the subject from sc ratch. (This is joint work in progress with Helge Ruddat.)\n\n//indico.ict p.it/event/10577/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10577/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP Complex Differential Geometry Seminar "K-stability and large complex structure limits" DTSTART;VALUE=DATE-TIME:20231115T140000Z DTEND;VALUE=DATE-TIME:20231115T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10584@ictp.it DESCRIPTION:\n Abstract: According to mirror symmetry\, the geometry of a given Fano manifold endowed with some extra data\, including an arbitrary Kähler class\, should be reflected in a mirror Landau-Ginzburg model\, i. e. a noncompact complex manifold endowed with a nonconstant holomorphic fu nction. On the other hand\, a fundamental notion for constructing moduli o f Fano manifolds is K-polystability\, i.e. positivity of the Donaldson-Fut aki invariants for nonproduct test-configurations. In this talk I will int roduce the problem of characterising K-polystable Kähler classes on a Fan o in terms of their mirror Landau-Ginzburg models. I will then discuss som e first concrete results in the case of slope stability for del Pezzo surf aces. The computations involve the particular “large complex structure l imit” of the Landau-Ginzburg model corresponding to scaling the Kähler class on the Fano\, which acts trivially on K-polystability.\n\n//indico.i ctp.it/event/10584/ LOCATION:IGAP/ IFPU building room 205 URL://indico.ictp.it/event/10584/ END:VEVENT BEGIN:VEVENT SUMMARY:Analysis Seminar "On the number of lower sets with fixed cardinali ty" DTSTART;VALUE=DATE-TIME:20231122T083000Z DTEND;VALUE=DATE-TIME:20231122T093000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10575@ictp.it DESCRIPTION:\n Abstract: We call a set S in N^d\, d>1\, a lower set if for any x in S all the points in N^d with each coordinate being less or equal to that of x also belong to S. Equivalently\, one can think of a d-dimens ional lower set as of a union of unit cubes such that in each direction an y cube leans either on another one or on the coordinate hyperplane.\n We w ill be interested in estimating the number p_d(n) of d-dimensional lower s ets of cardinality n. The two-sided inequality n^(1-1/d)1$ and explain the challenges in obtaining similar results in the cont ext of non-compact symmetric spaces in general. This talk is based on a jo int work with J. Antezana.\n\n//indico.ictp.it/event/10788/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10788/ END:VEVENT BEGIN:VEVENT SUMMARY:Cohomological Hall algebra of curves and Quot schemes DTSTART;VALUE=DATE-TIME:20240917T123000Z DTEND;VALUE=DATE-TIME:20240917T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10790@ictp.it DESCRIPTION:\n Abstract: Given any smooth projective curve\, one can defin e a Hall algebra-type structure on the cohomology of a moduli stack of coh erent sheaves on the curve\, called the cohomological Hall algebra of a cu rve (CoHA). In this talk\, I will explain how CoHA is defined and show tha t CoHA naturally acts on the virtual homology of the Quot schemes. Virtual homology is a cohomological analog of the numerical invariants associated with the virtual fundamental class. If time permits\, I will explain how one can define a double of the subalgebra of torsion sheaves and describe it in terms of generators and relations. This talk is based on joint work with Woonam Lim.\n\n//indico.ictp.it/event/10790/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10790/ END:VEVENT BEGIN:VEVENT SUMMARY:NUMBER THEORY SEMINAR - Pair Correlation Statistic in Number Theor y DTSTART;VALUE=DATE-TIME:20241009T133000Z DTEND;VALUE=DATE-TIME:20241009T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10800@ictp.it DESCRIPTION:Abstract: \n\n We shall discuss a finer-scale statistic\, know n as 'pair correlation'\, for sequences of numbers. We mainly focus on the Poissonian pair correlation of sequences in higher-dimensional setting. T his talk is based on joint work with T. Bera and A. Mukhopadhyay.\n\n//ind ico.ictp.it/event/10800/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10800/ END:VEVENT BEGIN:VEVENT SUMMARY:TRINO-ALGEBRAIC GEOMETRY SEMINAR: Tannaka Duality and GAGA Theorem s in Algebraic Geometry DTSTART;VALUE=DATE-TIME:20241009T083000Z DTEND;VALUE=DATE-TIME:20241009T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10801@ictp.it DESCRIPTION:Abstract:\n\n Tannaka Duality refers to the reconstruction of a compact group from its representations\, while Serre's GAGA theorem rela tes coherent sheaves on an algebraic variety to its analytification.  Thi s talk will explore various incarnations of these two classical theorems i n algebraic geometry with applications to moduli theory.An introductory le cture will be given by Professor Alper on the above subject. This event is scheduled to take place on Tuesday\, 08 October at  10:00 AM in the Fibo nacci Seminar Room (Galileo Guest House).\n\n//indico.ictp.it/event/10801/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10801/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA-ICTP online course "An Introduction to Quantum Groups and Ho pf Algebras" DTSTART;VALUE=DATE-TIME:20241014T130000Z DTEND;VALUE=DATE-TIME:20241017T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10793@ictp.it DESCRIPTION:\n For those wishing to participate online\, please register h ere:https://zoom.us/j/92193823715\n In person: ICTP Luigi Stasi Lecture Ro om.\n Time:\n         Oct 14\, 2024 03:00 PM (Rome)\n          Oct 15\, 2024 03:00 PM\n         Oct 16\, 2024 03:00 PM\n          Oct 17\, 2024 03:00 PMAbstract: The main goal of this course is t o introduce the audience the preliminaries on quantum groups and Hopf alge bras using explicit examples and the relation with algebraic geometry and category theory. In particular\, it consists of examples and basic results that are the essential toolkit to study and research on topics related to quantum groups: from Hopf algebras to tensor categories. As it is an acti ve area of research\, we will take the opportunity to discuss open problem s and recent results of interest.Please note that the CIMPA/ICTP online co urses will be recorded and broadcasted at ICTP.CIMPA does not provide cert ificates of attendance for online courses.\n\n//indico.ictp.it/event/10793 / LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10793/ END:VEVENT BEGIN:VEVENT SUMMARY:Projective Hyperkähler Manifolds with Large Picard Number DTSTART;VALUE=DATE-TIME:20241023T090000Z DTEND;VALUE=DATE-TIME:20241023T103000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10894@ictp.it DESCRIPTION:\n Abstract:\n Compact Hyperkähler manifolds (also known as I HS) are notable Kähler manifolds renowned for their rich and intriguing g eometry. Using classical results from quadratic forms and advance methods from Bridgeland stability conditions\, we will show that any projective Hy perkähler manifold (deforming to the Hilbert scheme of n points on a K3 s urface) with a Picard number at least 4 is always isomorphic to a moduli s pace of (twisted) stable sheaves on a K3 surface.\n We will also discuss e xampleswith Picard numbers less than 4\, including cases that are not bira tional to a moduli space of twisted sheaves on a K3 surface. These example s reveal connections to an open problem in algebraic geometry regarding th erationality of cubic fourfolds. \n\n//indico.ictp.it/event/10894/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10894/ END:VEVENT BEGIN:VEVENT SUMMARY:Lyapunov Spectrum of Countable Markov Interval Maps DTSTART;VALUE=DATE-TIME:20241028T150000Z DTEND;VALUE=DATE-TIME:20241028T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10897@ictp.it DESCRIPTION:\n Abstract: \n In this talk\, we will explore the multifracta l analysis of the Lyapunov exponent function\, also known as the Lyapunov spectrum. About 25 years ago\, Weiss and Pesin applied thermodynamic forma lism to study the Lyapunov spectrum for Anosov diffeomorphisms. Their resu lts have since been generalized to various settings\, including non-unifor mly hyperbolic systems and non-compact spaces. We will begin with a brief introduction to thermodynamic formalism\, followed by a discussion of this problem in the context of certain dynamical systems on the interval that exhibit intriguing phenomena related to the topological pressure function. \n\n//indico.ictp.it/event/10897/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10897/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA-ICTP online course "Geometric Identities and their Applicati ons on Rigidity Problems" DTSTART;VALUE=DATE-TIME:20241104T140000Z DTEND;VALUE=DATE-TIME:20241107T160000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10798@ictp.it DESCRIPTION:\n For those wishing to participate online\, please register h ere:https://zoom.us/meeting/register/tJEtdO6qqT0tEtHQErKGnirdPRB3EACe8oQK# /registration\n In person: ICTP Stasi Lecture Room\n Date and Time:\n Nov 4\, 2024 03:00 PM\n Nov 5\, 2024 03:00 PM\n Nov 6\, 2024 03:00 PM\n Nov 7\ , 2024 03:00 PMAbstract: In recent years\, Riemannian metrics that satisfy specific systems of partial differential equations involving a function ( and/or a vector field) defined in the manifold have been extensively studi ed. Examples include geometric structures related to the class of static m etrics that appear in General Relativity\, such as the critical metrics of the volume functional. A powerful tool in this field is using integral id entities (such as Reilly and Pohozaev-Schoen identities)\, which permit re late differential and geometric operators in Riemannian manifolds. One not able example is the proof by Reilly-Ros of Alexandrov's theorem via integr al inequalities\, where a crucial step is the Heintze-Karcher inequality\, an inequality that follows directly from Reilly's identity and further in dicates rigidity to the Euclidean ball in the case of equality. On the oth er hand\, the Pohozaev-Schoen identity can be used to obtain area limitati ons for the boundary of static manifolds and to conclude rigidity from the known models.\n\n//indico.ictp.it/event/10798/ LOCATION:Hybrid Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10798/ END:VEVENT BEGIN:VEVENT SUMMARY:Analysis seminar: Sharp Fourier Restriction over Finite Fields DTSTART;VALUE=DATE-TIME:20241113T100000Z DTEND;VALUE=DATE-TIME:20241113T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10902@ictp.it DESCRIPTION:\n Abstract:\n Fourier sharp restriction theory has been a top ic of interest over the last decades. On the other hand\, efforts have bee n made in order to develop the theory of Fourier restriction over finite f ields. In this talk\, we will introduce these two topics\, and present som e recently made developments (in a joint work with Diogo Oliveira e Silva) in the intersection of them.\n\n//indico.ictp.it/event/10902/ LOCATION:ICTP Leonardo Building - Lab URL://indico.ictp.it/event/10902/ END:VEVENT BEGIN:VEVENT SUMMARY:Analysis seminar: Interacting Free Boundaries in Dead-Core Systems . DTSTART;VALUE=DATE-TIME:20241118T130000Z DTEND;VALUE=DATE-TIME:20241118T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10908@ictp.it DESCRIPTION:\n Abstract:\n This talk explores dead-core type problems\, wh ere certain regions within a process or reaction become inactive\, forming "dead zones”. Such models are valuable for understanding phenomena like the spread of contaminants that stop after reaching specific areas or par ts of a chemical reaction that slow down due to a lack of reactants. We st udy systems of partial differential equations\, focusing on how certain pr operties generate a “chain reaction” effect that enhances the precisio n in describing the behavior at the boundaries of these inactive zones\, k nown as free boundaries.This is joint work with Rafayel Teymurazyan (KAUST \, Saudi Arabia\, and Universidade de Coimbra\, Portugal).\n\n//indico.ict p.it/event/10908/ LOCATION:ICTP Galileo Guest House - Fibonacci Lecture Room URL://indico.ictp.it/event/10908/ END:VEVENT BEGIN:VEVENT SUMMARY:ICTP Mathematics Colloquium - Complex quasi-projective varieties a nd their fundamental groups DTSTART;VALUE=DATE-TIME:20241210T130000Z DTEND;VALUE=DATE-TIME:20241210T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10901@ictp.it DESCRIPTION:\n A building block of homotopy theory is the fundamental grou p of varieties\, in topology and in arithmetic geometry. We know very litt le on it. One way to approach it is via local systems\, that is linear rep resentations modulo conjugation. In doing so we lose a lot of information. Still arithmetic geometry  (notably the Langlands program) yields obstru ctions for a finitely presented group to be the fundamental group of a smo oth complex quasi-projective variety.\n  Based on joint work with Johan d e Jong and Michael Groechenig\n This special ICTP Math Colloquium will be given by Prof. Hélène Esnault. The talk on "Complex quasi-projective var ieties and their fundamental groups" will take place in the Luigi Stasi Le cture Room\, on Tuesday 10 December at 14.00 hrs and will be followed by l ight refreshments. All are welcome to attend.\n Please register in advance for this meeting:https://zoom.us/meeting/register/tJEudOqurTwjG9wy2qT4Nc6 6oG8lnuPgmYcq\n After registering\, you will receive a confirmation email containing information about joining the meeting.Hélène Esnault is a mat hematician specializing in algebraic and arithmetic geometry. She obtained her PhD in 1976 at the University of Paris VII under the direction of Lê Dũng Tráng. She was a Heisenberg scholar at the MPI in Bonn and maître de conférence in Paris VII. In 1990\, she became a full professor at the Universität Duisburg-Essen. In 2012\, she moved to Berlin as the first E instein Professor at the Freie Universität Berlin\, where she became emer ita in 2019. She continued her mathematical work and accepted a visiting p rofessor position in 2019 at IAS Princeton. In the fall 2022\, she held th e Eilenberg Chair at Columbia University and is currently a part-time prof essor at Copenhagen University and a Faculty Associate at Harvard Universi ty.\n  \n As a mathematician\, she published more than 135 research artic les with 45 coauthors covering a wide range of topics. In recognition of h er seminal contributions\, she was awarded the Doisteau-Blutet prize of th e Academy of Sciences in Paris in 2001\, jointly with Eckart Viehweg  the Leibniz Prize in 2003 and received the Cantor medal of the German Mathema tical Society in 2019. She received multiple honorary doctorates and was a member of various significant committees\, including the Fields Medal Com mittee\, the Structure Committee\, the Shaw Prize Committee\, and the Info sys Prize Committee. Additionally\, she has served on the editorial boards of several prestigious journals.\n\n//indico.ictp.it/event/10901/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10901/ END:VEVENT BEGIN:VEVENT SUMMARY:The birational geometry of M_g: new developments via non-abelian B rill-Noether theory and tropical geometry DTSTART;VALUE=DATE-TIME:20250123T133000Z DTEND;VALUE=DATE-TIME:20250123T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10936@ictp.it DESCRIPTION:\n Abstract: I will discuss how novel ideas from non-abelian B rill-Noether theory can be used to prove that the moduli space of genus 16 curves is uniruled and that the moduli space of Prym varieties of genus 1 3 is of general type. For the much studied question of determining the Kod aira dimension of moduli spaces\, both these cases were long understood to be crucial in order to make further progress. I will also explain the use of tropical geometry in order to establish the Strong Maximal Rank Conjec ture\, necessary to carry out this program.\n\n//indico.ictp.it/event/1093 6/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10936/ END:VEVENT BEGIN:VEVENT SUMMARY:Number Theory Day 2025 DTSTART;VALUE=DATE-TIME:20250205T100000Z DTEND;VALUE=DATE-TIME:20250205T163000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10949@ictp.it DESCRIPTION:\n Organizers: Emanuel Carneiro (ICTP)\, Pietro Corvaja (Unive rsity of Udine) and Umberto Zannier (SNS - Pisa)Program:\n 11:00 - 11:50: David Masser (University of Basel\, Switzerland)\n Title: Equidistribution and heightsAbstract: Since Yuri Bilu (1997) we know that the conjugates o f an algebraic number α of small height tend to be equidistributed near t he unit circle. With Roger Baker (2023) we refined some aspects of weak co nvergence\, for example with the test function log |1 − z|. We gave seve ral applications\, for example to the number of conjugates in the upper ha lf plane: this number differs from half the degree d by at most 8000 h^{1/ 3} d for the absolute logarithmic height h (now assumed non-zero) of α. W e will describe some of this and also more recent applications to heights themselves\, such as those of rational functions evaluated at roots of uni ty.\n 13:30 - 14:20: Mithun Das (ICTP\, Italy)\n Title: Effective equidist ribution of Galois orbits for mildly regular test functions Abstract: Abst ract: We provide a detailed study on effective versions of the celebrated Bilu's equidistribution theorem for Galois orbits of sequences of points o f small height in the N-dimensional algebraic torus\, identifying the qual itative dependence of the convergence on the regularity of the test functi ons considered. We develop a general Fourier analysis framework that exten ds previous results obtained by Petsche (2005) and D'Andrea\, Narváez-Cla uss\, and Sombra (2017). This is also related to previous works by Pritske r (2011)\, Baker and Masser (2023)\, and Amoroso and Pleissis (2024). This is a joint work with Emanuel Carneiro.\n 15:00 - 15:50: Carlo Pagano (Con cordia University\, Canada)\n Title: Hilbert 10 via additive combinatorics Abstract: In 1970 Matiyasevich\, building on earlier work of Davis--Putnam --Robinson\, proved that every enumerable subset of Z is Diophantine\, thu s showing that Hilbert's 10th problem is undecidable for Z. The problem of extending this result to the ring of integers of number fields (and more generally to finitely generated infinite rings) has attracted significant attention and\, thanks to the efforts of many mathematicians\, the task ha s been reduced to the problem of constructing\, for certain quadratic exte nsions of number fields L/K\, an elliptic curve E/K with rk(E(L))=rk(E(K)) >0. This was done under BSD by Mazur and Rubin. In this talk I will explai n joint work with Peter Koymans\, where we use Green--Tao to construct the desired elliptic curves unconditionally\, thus settling Hilbert 10 for ev ery finitely generated infinite ring.\n 16:30 - 17:20: Gregory Debruyne (G hent University\, Belgium)\n Title: Recent advances surrounding the Ingham -Karamata Tauberian theoremAbstract: The Ingham-Karamata theorem is a corn erstone in Tauberian theory: it retrieves asymptotic information of a func tion from a regularity hypothesis on the function and from information abo ut its Laplace transform. I will discuss some of my recent work surroundin g this theorem and explain some applications in number theory.\n Topic: Nu mber Theory Day\n Time: Feb 5\, 2025 11:00 Rome\n Join Zoom Meetinghttps:/ /zoom.us/j/95993818251\n Meeting ID: 959 9381 8251\n Passcode: 081357\n\n/ /indico.ictp.it/event/10949/ LOCATION:HYBRID Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10949/ END:VEVENT BEGIN:VEVENT SUMMARY:Counting maps to hypersurfaces in Grassmannians DTSTART;VALUE=DATE-TIME:20250213T133000Z DTEND;VALUE=DATE-TIME:20250213T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10957@ictp.it DESCRIPTION:\n Abstract: In this talk\, I will describe how to evaluate th e virtual count of maps from a fixed-domain smooth curve to a general degr ee-m hypersurface in a Grassmannian. We use the Quot scheme to compactify the space of maps and perform an intersection-theoretic calculation. I wil l also briefly discuss the conditions under which the virtual count is enu merative.\n\n//indico.ictp.it/event/10957/ LOCATION:ICTP E. Fermi Building - Room 101 URL://indico.ictp.it/event/10957/ END:VEVENT BEGIN:VEVENT SUMMARY:Orthogonal quasimodular forms\, theta lifts and enumerative geomet ry DTSTART;VALUE=DATE-TIME:20250220T133000Z DTEND;VALUE=DATE-TIME:20250220T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10956@ictp.it DESCRIPTION:Abstract:\n\n I will give a basic introduction into recent wor k with B. Williams in which we define quasimodular forms for the orthogona l group and show how the notion interacts with the theta lift. In particul ar\, we prove that the theta lift of a quasimodular produces a quasimodula r if and only if a certain weight-depth inequality holds. In the last part of the talk we discuss how this relates to the Gromov-Witten theory of th e Enriques surface and its limitation for more general K3 fibrations. No p revious knowledge about modular forms is required (all notation can be rev iewed).\n\n//indico.ictp.it/event/10956/ LOCATION:ICTP E. Fermi Building - Room 101 URL://indico.ictp.it/event/10956/ END:VEVENT BEGIN:VEVENT SUMMARY:First Special Holonomy and Special Metrics in Math & Physics Semin ar DTSTART;VALUE=DATE-TIME:20250304T100000Z DTEND;VALUE=DATE-TIME:20250304T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10977@ictp.it DESCRIPTION:\n In the last few years we have seen tremendous progress on v arious aspects of the classical problem of constructing and classifying sp ecial manifolds in terms of holonomy and curvature. We would like to start a joint "working" seminar to better understand and to attack together som e open problems of common interest. Our idea is to have a weekly meeting f or a couple of hours each\, starting on Tuesday 4 March at 11:00 at ICTP ( but this can be adjusted to a different timing depending on who is interes ted of course).\n We would like to have our first meeting meeting on Tuesd ay 4 March\, at 11:00 in the Luigi Stasi Seminar Room for a general introd uction by Bobby on few open problems we could be investigating together.\n Bobby Acharya & Claudio Arezzo\n\n//indico.ictp.it/event/10977/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10977/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamics Afternoon DTSTART;VALUE=DATE-TIME:20250314T143000Z DTEND;VALUE=DATE-TIME:20250314T170000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10986@ictp.it DESCRIPTION: Dynamics Afternoon\n \n15:30 Alexandre Delplanque (LPSM\,Pa ris\, France)\n \nTitle: Hyperbolic absolutely continuous measures for on e-dimensional maps\n Abstract: Given a dynamical system\, we are interest ed in the asymptotic distribution of its orbits. We will focus on one-dime nsional dynamics\, and in particular we will present the following result: \nIf f is a C^r one-dimensional map\, with r > 1\, then Lebesgue-almost ev ery point with a Lyapunov exponent larger than (log || f' ||_infinity)/r i s in the basin of an ergodic measure which is hyperbolic and absolutely co ntinuous with respect to the Lebesgue measure.\n \n16:00 Rizwan Ullah (SI SSA\, Trieste\, Italy)\n \nTitle: Doubly Intermittent Singular Skew Produ cts\n Abstract: The statistical characteristics of interval maps having i ndifferent fixed points have been extensively investigated. A method to ex amine a comparable issue in higher dimensions is through the skew product system\, which is a coupling of two systems non-autonomously.\nThis presen tation will discuss a joint work with Stefano Luzzatto\, where we analyzed a skew product system by coupling a uniformly expanding circle map with a double intermittent interval map exhibiting unbounded derivatives. By uti lizing the inducing technique\, we have demonstrated that this system poss esses a unique ergodic absolutely continuous invariant probability (acip) with a polynomial decay of correlations.\n 16:30 Break\n \n17:00 Rubio G unawan (SISSA\, Trieste\, Italy)\n \nTitle: Uniformly Expanding Full Bran ch Maps with Attracting Fixed Point\n \nAbstract: We prove the existence of a uniformly expanding full branch map that has an attracting fixed poin t. The map is given by infinitely many smooth branches\, and the domains o f the branches accumulate at zero. Zero is an attracting fixed point\, and its basin of attraction has full measure. A key assumption is convexity o n each branch. We apply the assumption to estimate measures of sets that a re contained in the basin.\n \n 17:30 Jose Ferreira Alves (University of Porto\, Porto\, Portugal)\n \nTitle: Statistical stability in non-unifor mly expanding dynamics\n Abstract: In this talk we present some some rece nt results on the statistical stability of certain families of one-dimensi onal non-uniformly expanding maps. Joint work with Dalmi Gama and Stefano Luzzatto.\n\n//indico.ictp.it/event/10986/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10986/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA-ICTP online course "Topics in Nonlinear Functional Analysis" DTSTART;VALUE=DATE-TIME:20250317T130000Z DTEND;VALUE=DATE-TIME:20250320T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10972@ictp.it DESCRIPTION:For those wishing to participate online\, please register here :https://zoom.us/meeting/register/lhQ-_kf-TKaya-nZ0JYFdg\nIn person: ICTP Stasi Lecture Room\nDate and Time:\nMarch 17\, 2025 02:00 PM\nMarch 18\, 2 025 02:00 PM\nMarch 19\, 2025 02:00 PM\nMarch 20\, 2025 02:00 PM\n Abstrac t: This course will review fundamental techniques and selected topics in n onlinear functional analysis. These topics include advanced materials on t he geometric properties of Banach spaces\, subdifferentials\, the existenc e and asymptotic behavior of solutions to evolution equations of monotone type\, nonlinear ergodic theorems\, and the characterization and compactif ication of almost periodic functions. Finally\, the application of proof m ining in nonlinear analysis will be presented.\n\n//indico.ictp.it/event/1 0972/ LOCATION:HYBRID Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10972/ END:VEVENT BEGIN:VEVENT SUMMARY:Joint Math & Physics Seminar "Kummer-type HyperKähler Orbifolds a nd Joyce-Karigiannis G2-Manifolds" DTSTART;VALUE=DATE-TIME:20250319T123000Z DTEND;VALUE=DATE-TIME:20250319T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10992@ictp.it DESCRIPTION:\n Abstract: The talk will be split in two parts\, discussing two projects broadly related to constructing and classifying special holon omy orbifolds and manifolds.\n  \n Firstly\, motivated by finding a new c ompact hyperKähler manifold\, we study hyperKähler orbifolds of Kummer-t ype (i.e. orbifolds obtained as quotients of tori) associated to the maxim al torus of E8 and classify such spaces. We then study their singular sets in an attempt to find an example which can be desingularised to a smooth hyperKähler manifold. The methods developed pave the way for a larger pro ject to classify all special holonomy Kummer orbifolds.\n  \n Secondly\, we study 7-manifolds of holonomy SU(2) \\rtimes F and partially classify t hem. Orbifold limits of such spaces have singular sets of the type conside red by Joyce and Karigiannis who showed that (1707.09325)\, under certain conditions\, such singular spaces can be desingularised to smooth\, compac t\, G2-manifolds. We obtain a complete understanding of the physics of the se spaces in the context of M-theory\, although this will not feature much in the talk. As a bonus we discover an unexpected isomorphism between two seemingly unrelated moduli spaces: the space of Ricci flat metrics on the se 7-manifolds and the space of flat connections on compact\, flat 3-manif olds.\n \nRelevant papers: 2501.03692\, 2309.12869\, 2312.12311\n\n//indi co.ictp.it/event/10992/ LOCATION:ICTP Galileo Guest House - Room A URL://indico.ictp.it/event/10992/ END:VEVENT BEGIN:VEVENT SUMMARY: ICTP-SISSA Quot seminar: "Cohomology of the Quot scheme of rank z ero quotients on smooth projective curves" DTSTART;VALUE=DATE-TIME:20250320T133000Z DTEND;VALUE=DATE-TIME:20250320T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10993@ictp.it DESCRIPTION:\n Abstract: The geometry and topology of the Quot schemes of rank zero quotients on smooth projective curves has been studied quite ext ensively in the works of Strømme (1981)\, Bifet (1989)\, Chen (2001)\, Bi fet-Ghione-Letizia (1994)\, Marian-Oprea (2007)\, Marian-Negut (2023) and several others. The Quot scheme in this case is a smooth projective variet y. The work of Marian-Negut describes the additive structure on the cohomo logy\, which provides a natural way of computing Poincaré polynomials (th ese had been known before by the work of Bifet and Chen). In this seminar I would like to explain the multiplicative structure on the cohomology. On e can give a satisfactory account of this for the Quot scheme over P^1. Su ch a description for a general curve is a work in progress\; I will highli ght some difficulties one encounters in this case. Finally\, if time permi ts\, I would like to talk about the connection of the Quot scheme on P^1 t o the stack of bundles and use it to give a geometric description of certa in relations appearing in the presentation of its cohomology ring.\n\n//in dico.ictp.it/event/10993/ LOCATION:ICTP Enrico Fermi Building - Room 101 URL://indico.ictp.it/event/10993/ END:VEVENT BEGIN:VEVENT SUMMARY:NUMBER THEORY SEMINAR: Remarks on a formula of Ramanujan DTSTART;VALUE=DATE-TIME:20250326T130000Z DTEND;VALUE=DATE-TIME:20250326T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10989@ictp.it DESCRIPTION:Abstract: In this talk\, we will discuss a well-known formula of Ramanujan and its relationship with the partial sums of the Möbius fun ction. Under some conjectures\, we analyze a finer structure of the involv ed terms. It is a joint work with Steven M. Gonek (University of Rochester ).\nJoin Zoom Meetinghttps://zoom.us/j/92398525229?pwd=dLzjYpOaVyM9yBVu4LE xeCZWP0NXoj.1\n \nMeeting ID: 923 9852 5229\nPasscode: 23610\n\n\n\n//ind ico.ictp.it/event/10989/ LOCATION:HYBRID Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10989/ END:VEVENT BEGIN:VEVENT SUMMARY:ANALYSIS SEMINAR: Liouville-type results for viscosity solutions t o the false mean curvature equation DTSTART;VALUE=DATE-TIME:20250326T143000Z DTEND;VALUE=DATE-TIME:20250326T153000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10991@ictp.it DESCRIPTION:\n Abstract: In this talk\, we revisit some classical Liouvill e-type results in half spaces for uniformly elliptic equations. We extend these results to the nonuniformly elliptic equations known as false mean c urvature equations. The regularity theory of locally Lipschitz viscosity s olutions will also be addressed.\n Join Zoom Meetinghttps://zoom.us/j/9444 7319215?pwd=YDOXONXXwRTr8dhGNmu2pb80fjszas.1\n  \n Meeting ID: 944 4731 9 215\n Passcode: 23737\n\n//indico.ictp.it/event/10991/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/10991/ END:VEVENT BEGIN:VEVENT SUMMARY:Collapsing Ricci-flat metrics DTSTART;VALUE=DATE-TIME:20250327T123000Z DTEND;VALUE=DATE-TIME:20250327T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-10996@ictp.it DESCRIPTION:\n Abstract: I will discuss the general problem of understandi ng collapsed limits of Ricci-flat Kahler metrics on a compact Calabi-Yau m anifold when the Kahler class degenerates to the boundary of the Kahler co ne. I will discuss some positive results (joint with Hein) when the limiti ng class is the pullback of a Kahler class from the base of a holomorphic fibration\, and some negative results (joint with Filip) when the limiting class is not of this form.\n\n//indico.ictp.it/event/10996/ LOCATION:ICTP Galileo Guest House - Fibonacci Lect. Room URL://indico.ictp.it/event/10996/ END:VEVENT BEGIN:VEVENT SUMMARY:PhD Course at SISSA "From quadratic forms to modular forms to quan tum modular forms" DTSTART;VALUE=DATE-TIME:20250331T120000Z DTEND;VALUE=DATE-TIME:20250519T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11001@ictp.it DESCRIPTION:\n \n \n@font-face\n {font-family:"Cambria Math"\;\n panose-1: 2 4 5 3 5 4 6 3 2 4\;\n mso-font-charset:0\;\n mso-generic-font-family:rom an\;\n mso-font-pitch:variable\;\n mso-font-signature:-536870145 110730572 7 0 0 415 0\;}@font-face\n {font-family:Calibri\;\n panose-1:2 15 5 2 2 2 4 3 2 4\;\n mso-font-charset:0\;\n mso-generic-font-family:swiss\;\n mso-f ont-pitch:variable\;\n mso-font-signature:-469750017 -1040178053 9 0 511 0 \;}@font-face\n {font-family:Times\;\n panose-1:0 0 5 0 0 0 0 2 0 0\;\n ms o-font-alt:Times\;\n mso-font-charset:0\;\n mso-generic-font-family:auto\; \n mso-font-pitch:variable\;\n mso-font-signature:-536870145 1342185562 0 0 415 0\;}p.MsoNormal\, li.MsoNormal\, div.MsoNormal\n {mso-style-unhide:n o\;\n mso-style-qformat:yes\;\n mso-style-parent:""\;\n margin:0cm\;\n mso -pagination:widow-orphan\;\n font-size:12.0pt\;\n font-family:"Calibri"\,s ans-serif\;\n mso-ascii-font-family:Calibri\;\n mso-ascii-theme-font:minor -latin\;\n mso-fareast-font-family:"Times New Roman"\;\n mso-fareast-theme -font:minor-fareast\;\n mso-hansi-font-family:Calibri\;\n mso-hansi-theme- font:minor-latin\;\n mso-bidi-font-family:"Times New Roman"\;\n mso-bidi-t heme-font:minor-bidi\;\n mso-fareast-language:EN-US\;}p.MsoCommentText\, l i.MsoCommentText\, div.MsoCommentText\n {mso-style-noshow:yes\;\n mso-styl e-priority:99\;\n mso-style-link:"Comment Text Char"\;\n margin:0cm\;\n ms o-pagination:widow-orphan\;\n font-size:10.0pt\;\n font-family:"Calibri"\, sans-serif\;\n mso-ascii-font-family:Calibri\;\n mso-ascii-theme-font:mino r-latin\;\n mso-fareast-font-family:"Times New Roman"\;\n mso-fareast-them e-font:minor-fareast\;\n mso-hansi-font-family:Calibri\;\n mso-hansi-theme -font:minor-latin\;\n mso-bidi-font-family:"Times New Roman"\;\n mso-bidi- theme-font:minor-bidi\;\n mso-fareast-language:EN-US\;}span.MsoCommentRefe rence\n {mso-style-noshow:yes\;\n mso-style-priority:99\;\n mso-ansi-font- size:8.0pt\;\n mso-bidi-font-size:8.0pt\;}span.CommentTextChar\n {mso-styl e-name:"Comment Text Char"\;\n mso-style-noshow:yes\;\n mso-style-priority :99\;\n mso-style-unhide:no\;\n mso-style-locked:yes\;\n mso-style-link:"C omment Text"\;\n mso-ansi-font-size:10.0pt\;\n mso-bidi-font-size:10.0pt\; 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\n mso-font-pitch:variable\;\n mso-font-signature:-536870145 1342185562 0 0 415 0\;}p.MsoNormal\, li.MsoNormal\, div.MsoNormal\n {mso-style-unhide:n o\;\n mso-style-qformat:yes\;\n mso-style-parent:""\;\n margin:0cm\;\n mso -pagination:widow-orphan\;\n font-size:12.0pt\;\n font-family:"Calibri"\,s ans-serif\;\n mso-ascii-font-family:Calibri\;\n mso-ascii-theme-font:minor -latin\;\n mso-fareast-font-family:"Times New Roman"\;\n mso-fareast-theme -font:minor-fareast\;\n mso-hansi-font-family:Calibri\;\n mso-hansi-theme- font:minor-latin\;\n mso-bidi-font-family:"Times New Roman"\;\n mso-bidi-t heme-font:minor-bidi\;\n mso-fareast-language:EN-US\;}p.MsoCommentText\, l i.MsoCommentText\, div.MsoCommentText\n {mso-style-noshow:yes\;\n mso-styl e-priority:99\;\n mso-style-link:"Comment Text Char"\;\n margin:0cm\;\n ms o-pagination:widow-orphan\;\n font-size:10.0pt\;\n font-family:"Calibri"\, sans-serif\;\n mso-ascii-font-family:Calibri\;\n mso-ascii-theme-font:mino r-latin\;\n mso-fareast-font-family:"Times New Roman"\;\n mso-fareast-them e-font:minor-fareast\;\n mso-hansi-font-family:Calibri\;\n mso-hansi-theme -font:minor-latin\;\n mso-bidi-font-family:"Times New Roman"\;\n mso-bidi- theme-font:minor-bidi\;\n mso-fareast-language:EN-US\;}span.MsoCommentRefe rence\n {mso-style-noshow:yes\;\n mso-style-priority:99\;\n mso-ansi-font- size:8.0pt\;\n mso-bidi-font-size:8.0pt\;}span.CommentTextChar\n {mso-styl e-name:"Comment Text Char"\;\n mso-style-noshow:yes\;\n mso-style-priority :99\;\n mso-style-unhide:no\;\n mso-style-locked:yes\;\n mso-style-link:"C omment Text"\;\n mso-ansi-font-size:10.0pt\;\n mso-bidi-font-size:10.0pt\; \n font-family:"Times New Roman"\,serif\;\n mso-fareast-font-family:"Times New Roman"\;\n mso-fareast-theme-font:minor-fareast\;}.MsoChpDefault\n {m so-style-type:export-only\;\n mso-default-props:yes\;\n font-family:"Calib ri"\,sans-serif\;\n mso-ascii-font-family:Calibri\;\n mso-ascii-theme-font :minor-latin\;\n mso-fareast-font-family:Calibri\;\n mso-fareast-theme-fon t:minor-latin\;\n mso-hansi-font-family:Calibri\;\n mso-hansi-theme-font:m inor-latin\;\n mso-bidi-font-family:"Times New Roman"\;\n mso-bidi-theme-f ont:minor-bidi\;\n mso-fareast-language:EN-US\;}div.WordSection1\n {page:W ordSection1\;} \n The lectures start Monday\, March 31\, 2025 at 2p.m. in room 136 at SISSA (via Bonomea\, 265)\, and will continue on Mondays and F ridays at 2pm in Room 136 until Friday\, June 6\, 2025.https://www.math.si ssa.it/course/phd-course/quadratic-forms-modular-forms-quantum-modular-for ms\nDescription:\n\n The theory of quadratic forms and the theory of modul ar forms are two of the pillars of classical number theory. Serre's famous advanced introductory text "Cours d'Arithmétique" consisted of two parts \, an algebraic part on  quadratic forms and an analytic part leading to the theory of modular forms. The course will provide an introduction to so me of the main parts of both theories and discuss both the classical conne ctions between them (such as  the theory of theta functions\, which are u sed in coding theory and many other parts of mathematics) and several more recent but also very interesting ones. The last part of the course will i ntroduce the relatively recent notion of quantum modular forms\, with many examples\, ranging from odd weight Eisenstein series to quantum invariant s of knots and 3-dimensional manifolds. Everything will be presented from the beginning\, with no prerequisites beyond standard topics like Cauchy's theorem.\n\n//indico.ictp.it/event/11001/ LOCATION:SISSA Room 136 URL://indico.ictp.it/event/11001/ END:VEVENT BEGIN:VEVENT SUMMARY:Quot seminar "On the higher rank Donaldson-Thomas invariants of po ints" DTSTART;VALUE=DATE-TIME:20250403T123000Z DTEND;VALUE=DATE-TIME:20250403T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11003@ictp.it DESCRIPTION:\n Abstract: Classical Donaldson-Thomas theory performs the vi rtual count of stable coherent sheaves with a given Chern character \\gamm a on a smooth projective threefold. In particular\, if \\gamma = (1\, 0\, 0\, -n) the moduli space of interest is the Hilbert scheme of points\, and the DT invariants are defined via a zero-dimensional perfect obstruction theory on it. We extend this story by considering the Quot scheme parametr izing zero-dimensional quotients of a locally free sheaf. We construct an almost perfect obstruction theory (a weaker version of a POT defined by Ki em and Savvas) on this Quot scheme which gives rise to a virtual class in degree zero and allows one to define higher rank invariants. We explain th e computation of these new invariants in the toric case and\, if time perm its\, discuss how to obtain the formula also in the general case.\n\n//ind ico.ictp.it/event/11003/ LOCATION:SISSA Room 137 URL://indico.ictp.it/event/11003/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometry & Physics seminar: Jackiw-Teitelboim gravity\, Teichmüll er spaces\, and the Virasoro algebra DTSTART;VALUE=DATE-TIME:20250410T123000Z DTEND;VALUE=DATE-TIME:20250410T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11002@ictp.it DESCRIPTION:\n Abstract:\n In this talk\, we will explain the relation bet ween (infinite dimensional) Teichmüller spaces of hyperbolic metrics on o riented 2-manifolds with ideal boundary and the Virasoro algebra. This wor k is motivated by recent results on Jackiw-Teitelboim gravity\, and by the study of moduli spaces of flat connections on surfaces with boundary.\n  The talk is based on a joint work with Eckhard Meinrenken\, see arXiv:24 01.03029\n\n//indico.ictp.it/event/11002/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11002/ END:VEVENT BEGIN:VEVENT SUMMARY:From instanton moduli space to Vafa-Witten invariants DTSTART;VALUE=DATE-TIME:20250410T134500Z DTEND;VALUE=DATE-TIME:20250410T144500Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11005@ictp.it DESCRIPTION:\n Abstract: In the 90s\, Vafa and Witten studied generating s eries formed from “counts” of solutions to certain gauge theoretic equ ations on a real 4-manifold. For a complex projective surface\, the associ ated series display remarkable modular properties.\n  \n A mathematical d efinition of Vafa and Witten’s solution counts was proposed by Tanaka-Th omas using the language of algebraic geometry. I will recall their definit ion and explain work in preparation with M. Kool and T. Laarakker in which we express a contribution to the Vafa-Witten invariants in terms of a cer tain affine quiver variety\, the so called "instanton moduli space" of tor sion framed sheaves on P^2. In particular\, I'll explain how to translate properties of instanton moduli space into formulas for Vafa-Witten invaria nts predicted by Göttsche\, Kool and Laarakker.\n\n//indico.ictp.it/event /11005/ LOCATION:ICTP Leonardo Building - Room A URL://indico.ictp.it/event/11005/ END:VEVENT BEGIN:VEVENT SUMMARY:Joint Math & Physics Seminar "Ricci Flat Metrics\, Flat Connection s and G2-Manifolds" DTSTART;VALUE=DATE-TIME:20250507T120000Z DTEND;VALUE=DATE-TIME:20250507T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11025@ictp.it DESCRIPTION:\n Abstract: \n We study 7-manifolds of holonomy SU(2) \\rtime s F and partially classify them. Orbifold limits of such spaces have singu lar sets of the type considered by Joyce and Karigiannis who showed that ( 1707.09325)\, under certain conditions\, such singular spaces can be desin gularised to smooth\, compact\, G2-manifolds. We obtain a complete underst anding of the physics of these spaces in the context of M-theory\, althoug h this will not feature much in the talk. As a bonus we discover an unexpe cted isomorphism between two seemingly unrelated moduli spaces: the space of Ricci flat metrics on these 7-manifolds and the space of flat connectio ns on compact\, flat 3-manifolds.\n\n//indico.ictp.it/event/11025/ LOCATION:ICTP Galileo Guest House - Fibonacci Seminar Room URL://indico.ictp.it/event/11025/ END:VEVENT BEGIN:VEVENT SUMMARY:Geometry of Universal Compactified Jacobians DTSTART;VALUE=DATE-TIME:20250508T123000Z DTEND;VALUE=DATE-TIME:20250508T133000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11026@ictp.it DESCRIPTION:\n Abstract: \n I will discuss work (mostly in progress) on un derstanding aspects of the cycle theory of universal compactified Jacobian s.\n  \n\n//indico.ictp.it/event/11026/ LOCATION:ICTP Leonardo Building - Euler-Lagrange Lecture Hall URL://indico.ictp.it/event/11026/ END:VEVENT BEGIN:VEVENT SUMMARY:NUMBER THEORY SEMINAR - Statistical Fluctuations at the Mesoscopic Scale for Zeros of $L$-Functions over Function Fields DTSTART;VALUE=DATE-TIME:20250513T120000Z DTEND;VALUE=DATE-TIME:20250513T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11029@ictp.it DESCRIPTION:\n Abstract: \n In this talk\, I will present  a multidimensi onal version of Selberg’s central limit theorem (SCL) for the families o f $L$-functions over function fields with different shifts along the criti cal line. These shifts provide insight into the statistical behavior of t he logarithm of $L$-functions in various regimes. As an application\, we u ncover an unusual correlation structure at the mesoscopic scale\, reminisc ent of that observed for the Riemann zeta function.This is joint work with Fatma Çiçek (UNBC\, Canada) and Allysa Lumley (York University\, Canada ).\n  \n\n//indico.ictp.it/event/11029/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11029/ END:VEVENT BEGIN:VEVENT SUMMARY:Special Holonomy and Special Metrics in Math & Physics Seminar "A toric case of the Thomas-Yau conjecture" DTSTART;VALUE=DATE-TIME:20250522T120000Z DTEND;VALUE=DATE-TIME:20250522T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11043@ictp.it DESCRIPTION:\n Abstract: We consider a class of Lagrangian sections L cont ained in certain Calabi-Yau Lagrangian fibrations (mirrors of toric weak F ano manifolds). We prove that a form of the Thomas-Yau conjecture holds in this case: L is Hamiltonian isotopic to a special Lagrangian section in t his class if and only if a stability condition holds\, in the sense of a s lope inequality on objects in a set of exact triangles in the Fukaya-Seide l category. This agrees with general proposals by Li. Based on arXiv:2505. 07228.\n\n//indico.ictp.it/event/11043/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11043/ END:VEVENT BEGIN:VEVENT SUMMARY:Monodromy of elliptic logarithms DTSTART;VALUE=DATE-TIME:20250610T120000Z DTEND;VALUE=DATE-TIME:20250610T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11050@ictp.it DESCRIPTION:\n Abstract: Given an algebraic family of elliptic curves with a non-torsion section\, one can locally define its elliptic logarithm\, a fter viewing the elliptic curves of the family as complex tori. An old the orem of Bertrand and André provides\, among other things\, the transcende ncy of these elliptic logarithms\, over the field of regular functions on the base. An even older\, and apparently unrelated\, theorem of Shioda pro ves that the so called 'modular elliptic surfaces' admit no section of inf inite order.\n In a joint work with U. Zannier we provide a unification an d an improvement of these results. The outcome is a statement on the relat ive monodromy of elliptic logarithms.To join via Zoom Meetinghttps://zoom. us/j/98460818322?pwd=PBd07c18xQFSaJCDLeXmVdcaKlJQMI.1\n Meeting ID: 984 60 81 8322\n Passcode: 086643\n\n//indico.ictp.it/event/11050/ LOCATION:HYBRID Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11050/ END:VEVENT BEGIN:VEVENT SUMMARY:ANALYSIS SEMINAR: Frames by orbits of bounded operators DTSTART;VALUE=DATE-TIME:20250611T120000Z DTEND;VALUE=DATE-TIME:20250611T130000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11054@ictp.it DESCRIPTION:\n Abstract: We will survey known results and present new find ings that settle the problem of existence and characterization of frames g enerated by orbits of bounded operators on separable Hilbert spaces. This talk will provide a comprehensive solution to the question of which operat ors admit such frames\, a problem motivated by Dynamical Sampling.\n\n//in dico.ictp.it/event/11054/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11054/ END:VEVENT BEGIN:VEVENT SUMMARY:ANALYSIS SEMINAR: Weaving Frames and Riesz bases DTSTART;VALUE=DATE-TIME:20250611T133000Z DTEND;VALUE=DATE-TIME:20250611T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11055@ictp.it DESCRIPTION:\n Abstract: This talk is about woven frames in separable Hilb ert spaces. I will start focusing on the finite-dimensional case. We begin by simplifying the problem to bases\, for which we obtain a unique charac terization. We establish a condition that is both necessary and sufficient for vector reconstruction\, which is applicable to Fourier matrices. Furt hermore\, we show that these characterizations are still valid in the infi nite dimensional case\, for Riesz bases. Finally\, we obtain several resul ts for weaving Riesz bases of translations.\n\n//indico.ictp.it/event/1105 5/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11055/ END:VEVENT BEGIN:VEVENT SUMMARY:ANALYSIS SEMINAR: Algebraic method of group classification for sem i-normalized classes of differential equations DTSTART;VALUE=DATE-TIME:20250624T140000Z DTEND;VALUE=DATE-TIME:20250624T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11064@ictp.it DESCRIPTION:\n Abstract: The theory of semi-normalized classes of differen tial equations is studied and generalized by using the extended algebraic method of group classification of such classes. We prove the theorems on f actoring out symmetry groups and invariance algebras of systems from semi- normalized classes and on splitting such groups and algebras within disjoi ntedly semi-normalized classes. To illustrate the efficiency of the develo ped theory\, we apply it to the group classification problem for the class of (1+n)-dimensional linear Schroedinger equations with complex-valued po tentials for the general value of n ⩾1.To joint via Zoom Meeting:\n  ht tps://zoom.us/j/98477063295?pwd=izwKanZLVABTPIeWbOc2RiPdOCcjyV.1\n  \n Me eting ID: 984 7706 3295\n Passcode: 230624\n\n//indico.ictp.it/event/11064 / LOCATION:HYBRID Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11064/ END:VEVENT BEGIN:VEVENT SUMMARY:On a Surprising Connection between Finance and Soliton Equations DTSTART;VALUE=DATE-TIME:20250625T090000Z DTEND;VALUE=DATE-TIME:20250625T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11065@ictp.it DESCRIPTION:Abstract: This is a general audience talk on a very interestin g connection between the travelling wave solutions of the Harry Dym equati on and the study of local volatility in the context of option pricing in t he Black-Scholes model. I will try to make this presentation a general pub lic one. It is based on joint work with V. Albani\, Singh\, and Kourakis\, which is available at https://arxiv.org/abs/2412.19020\n\n//indico.ictp.i t/event/11065/ LOCATION:ICTP Leonardo Building - Lecture Room D URL://indico.ictp.it/event/11065/ END:VEVENT BEGIN:VEVENT SUMMARY:Markov Maps on Dendrites DTSTART;VALUE=DATE-TIME:20250716T100000Z DTEND;VALUE=DATE-TIME:20250716T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11082@ictp.it DESCRIPTION:\n Abstract: In the talk we will investigate a special family of piecewise linear maps on dendrites. This so-called family of Markovian maps is a direct generalisation of Markov maps on topological trees. We wi ll show some results on the specifics of Markovian dynamics on the Gehman dendrite. Then we will follow with an analysis on the existence of measure s of maximal entropy for Markovian dynamical systems.\n\n//indico.ictp.it/ event/11082/ LOCATION:ICTP Leonardo Building - Lecture Room D URL://indico.ictp.it/event/11082/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA-ICTP Courses on: Numerical Simulation and Analysis of Ellipt ic and Parabolic PDEs using Differential Quadrature Methods and FEMs DTSTART;VALUE=DATE-TIME:20250721T120000Z DTEND;VALUE=DATE-TIME:20250724T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11077@ictp.it DESCRIPTION: Hours: 2:00pm - 4:00pm (Paris time zone)\nLink to join the c ourses:https://zoom.us/meeting/register/Zrd3zbFWSTqMtwvf8Tj7pQ\n \nMeetin g ID 933 3491 9927\npwd 834818Timetable and venue:\nMonday 21 July: 2:00 P M - Luigi Stasi seminar room\nTuesday 22 July: 2:00 PM - Luigi Stasi semin ar room\nWednesday 23 July:  2:00 PM - Luigi Stasi seminar room\nThursday 24 July: 2:00 PM - Luigi Stasi seminar room\n \n\n Abstract: In the firs t five lectures\, we will focus on the basics of FEM\,  FEM for Elliptic and parabolic PDEs including error estimates. Next lectures\, we  will fo cus on differential qaudrature methods (DQMs) based on Lagrange interpolat ion\, B-splines\, radial basis functions (RBFs) etc. and how to solve ODEs and PDEs using these methods.\n\n//indico.ictp.it/event/11077/ LOCATION:HYBRID Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11077/ END:VEVENT BEGIN:VEVENT SUMMARY:ANALYSIS DAY DTSTART;VALUE=DATE-TIME:20250917T090000Z DTEND;VALUE=DATE-TIME:20250917T140000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11174@ictp.it DESCRIPTION:\n Join Zoom Meeting\n https://zoom.us/j/94027397321\n  \n Me eting ID: 940 2739 7321\n Passcode: 100110\n 11:00 - 12:00: Andrea Olivo ( BCAM - Bilbao\, Spain)\n Title: Some new thoughts on weighted Gagliardo– Nirenberg–Sobolev inequality\n\n \n Abstract: It is well known that the celebrated Gagliardo estimate can be viewed as an extension of the classi cal isoperimetric inequality\, although the best constant was not obtained by Gagliardo. In this talk\, we will explore some generalizations of this result involving weights\, and we will discuss how it can be extended bey ond smooth domains. We will also consider certain two-weighted Sobolev ine qualities.\n\n\n  \n\n  \n\n 13:30 - 14:30: Julian Weigt (ICTP)\n Title: Regularity of maximal functions in higher dimensions\n\n \n Abstract: Th e classical Hardy-Littlewood maximal function theorem states that the Hard y-Littlewood maximal operator is a bounded operator on L^p(R^d) if and onl y if 1 < p <= ∞. In 1997 Juha Kinnunen proved the corresponding result f or the gradient of the maximal function\, i.e. that the L^p(R^d)-norm of t he gradient of the maximal function is controlled by the L^p(R^d)-norm of the gradient of the function if 1 < p <= ∞. However\, he provides no cou nterexample in the endpoint\, and so in 2004 Hajłasz and Onninen formally posed the question if the endpoint gradient bound also holds.\n \n Many special cases\, generalizations and variations of this problem have been e xplored\, with partial success. The original question by Hajłasz and Onni nen remains unanswered. We discuss recent progress in higher dimensions\, based on the coarea formula\, dyadic decompositions and the relative isope rimetric inequality. As a by-product we obtain a Vitali-type covering lemm a for the boundary.\n \n  \n\n\n  \n\n 15:00 - 16:00: Lucas Oliveira (U FRGS - Brazil)\n\n  \n\n \n Title: Extending homeomorphisms of the real line to the upper half plane\n \n  \n \n Abstract: Consider the followi ng question: is it possible to extend a quasisymmetric homeomorphism of th e real line to a quasiconformal homeomorphism of upper-half plane such tha t the extension of a composition it is the composition of the extensions?\ n \n  \n \n An answer to this question is already known in this precise situation\, but there are cases where these problems still need an answer (positive or negative). In this talk I would like to present the result o f recent collaborations that provides some advance in the specific case of bi-Lipschitz homeomorphisms.\n \n  \n \n Joint work with José Afonso Barrionuevo\, Felipe Gonçalves and Victor Medeiros.\n\n\n\n//indico.ictp. it/event/11174/ LOCATION:HYBRID Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11174/ END:VEVENT BEGIN:VEVENT SUMMARY:Conference on "Current Developments in Moduli Theory" DTSTART;VALUE=DATE-TIME:20250922T073000Z DTEND;VALUE=DATE-TIME:20250926T123000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11177@ictp.it DESCRIPTION:Abstracts and more information can be found at the Conference website:\n https://sites.google.com/view/alinamarian/copy-of-current-deve lopments-in-moduli-theoryAll lectures will take place in the Euler-Lagrang e Lecture Hall in ICTP's Leonardo building\, with the following schedule: https://sites.google.com/view/alinamarian/schedule.\n Main Speakers\n\n \n \n \n \n Marian Aprodu (University of Bucharest)\n \n Ca rolina Araujo (IMPA\, Rio de Janeiro)\n \n Valentina Beorchia (Univ ersity of Trieste)\n \n Cinzia Casagrande (University of Torino)\n \n Carel Faber (Utrecht University)\n \n Gavril Farkas (Humb oldt University\, Berlin)\n \n Camilla Felisetti (University of Mod ena)\n \n Danilo Lewanski (University of Trieste)\n \n Crist ina Manolache (University of Sheffield)\n \n Anton Mellit (Universi ty of Vienna)\n \n Riccardo Ontani (Imperial College\, London)\n \n Andrea Petracci (University of Bologna)\n \n Paolo Rossi (U niversity of Padova)\n \n Shubham Sinha (ICTP\, Trieste)\n \n Balázs Szendrői (University of Vienna)\n \n Orsola Tommasi (Uni versity of Padova)\n  \n \n Short Talks\n \n \n \n \n \n Ajay Gautam (ICTP\, Trieste)\n \n Archi Kaushik (EPFL\, Lausanne)\n \n Solomiya Mizyuk (SI SSA\, Trieste)\n \n Siao Chi Mok (University of Cambridge) \n \n \n \n \n \n \n \n\n\n\n//indico.ictp.it/event/1 1177/ LOCATION:ICTP Leonardo Building - Budinich Lecture Hall URL://indico.ictp.it/event/11177/ END:VEVENT BEGIN:VEVENT SUMMARY:Number Theory Seminars DTSTART;VALUE=DATE-TIME:20251024T120000Z DTEND;VALUE=DATE-TIME:20251024T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11206@ictp.it DESCRIPTION:14:00 - 15:00 Aleksander Simonič (Univ. of Primorska\, Sloven ia)\nTitle: An explicit form of Ingham's zero density estimate\n Abstract: Ingham (1940) proved that $N(\\sigma\,T)\\ll T^{3(1-\\sigma)/(2-\\sigma)} \\log^{5}{T}$\, where $N(\\sigma\,T)$ counts the number of the non-trivial zeros $\\rho$ of the Riemann zeta-function with $\\Re\\{\\rho\\}\\geq\\si gma\\geq 1/2$ and $0<\\Im\\{\\rho\\}\\leq T$. Such estimates are often val uable in the distribution theory of prime numbers. In this talk I will pre sent an explicit version of this result with the exponent $(7-5\\sigma)/(2 -\\sigma)$ of the logarithmic factor. The crucial ingredient in the proof is an explicit estimate with asymptotically correct main term for the four th power moment of the Riemann zeta-function on the critical line\, a resu lt which is of independent interest. This is joint work with Shashi Choura siya (UNSW Canberra)\n\n15:30 - 16:30 Sumit Kumar (Aarhus University\, Den mark)\nTitle: Second moment of GL(3) L-functions\n Abstract: Moments of L- functions play a fundamental role in number theory. In this talk we will e stimate the second moment of L(1/2+it\,F x chi)\, \\chi a primitive charac ter mod p^r and F a fixed GL(3) Hecke form averaged over t and chi. As an application we will obtain uniform subconvexity bounds for L(1/2+it\, F x chi). This is ongoing joint work with Dasaratharaman\, Leung and Pal.\n\n\ n//indico.ictp.it/event/11206/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11206/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA-ICTP Course on: Some Notions of Topological Homogeneity DTSTART;VALUE=DATE-TIME:20251110T130000Z DTEND;VALUE=DATE-TIME:20251113T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11095@ictp.it DESCRIPTION:\n Timetable and venue:\n Monday 10 November: 2:00 PM - Luigi Stasi seminar room\n Tuesday 11 November: 2:00 PM - Luigi Stasi seminar ro om\n Wednesday 12 November:  2:00 PM - Luigi Stasi seminar room\n Thursda y 13 November: 2:00 PM - Luigi Stasi seminar roomLink to zoom registration :https://zoom.us/meeting/register/bDS7t6ILThKNF8IGG6wVEwAbstract: A topolo gical space X is homogeneous if for every x\, y in X there is an autohomeo morphism h of X such that h(x)=y. Informally speaking\, a space is homogen eous if it “looks” the same around every point. Homogeneity is a very natural notion in mathematics because most of the notable topological spac es are homogeneous: euclidean spaces\, spheres\, manifolds\, the Cantor se t and the Hilbert cube\, among others. By replacing the points by countabl e dense sets in the definition of homogeneous space we obtain the definiti on of countable dense homogeneous space\; CDH space\, for short. Although this notion was explicitly named for the first time by Bennett in 1972\, i t appears in the work of Georg Cantor\, the founder of Set Theory. A recen tly active area of research is the construction of CDH spaces that are not Polish (separable and completely metrizable). The objective of the course is to present the notion of homogeneity\, give simple examples and progre ss towards the construction of non-Polish CDH spaces.\n\n//indico.ictp.it/ event/11095/ LOCATION:HYBRID Leonardo Building - Luigi Stasi Seminar Room and via Zoom URL://indico.ictp.it/event/11095/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Student Seminar Morning DTSTART;VALUE=DATE-TIME:20251120T090000Z DTEND;VALUE=DATE-TIME:20251120T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11233@ictp.it DESCRIPTION:10:00 - 10:30 - Rubio Gunawan (ICTP & SISSA)\nUniformly Expand ing Full Branch Maps with Unusual Attractors\n10:45 - 11:15 - Raul Chavez (ICTP & PUC-Rio\, Brazil)\nNon-statistical behavior arising from fluctuati on laws\n11:30 - 12:00 - Rizwan Ullah (KTH\, Sweden)\nDoubly intermittent singular skew products\n\n//indico.ictp.it/event/11233/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11233/ END:VEVENT BEGIN:VEVENT SUMMARY:CIMPA-ICTP Course "Semi-group Theory: Abstract Cauchy Problem and Evolution Equations" DTSTART;VALUE=DATE-TIME:20251124T130000Z DTEND;VALUE=DATE-TIME:20251127T150000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11205@ictp.it DESCRIPTION:Timetable and venue:\nMonday 24 November: 2:00 PM - Luigi Stas i seminar room\nTuesday 25 November: 2:00 PM - Luigi Stasi seminar room\nW ednesday 26 November:  2:00 PM - Luigi Stasi seminar room\nThursday 27 No vember: 2:00 PM - Luigi Stasi seminar room\n Link to zoom registration:ht tps://zoom.us/meeting/register/yCQwLqfRSEyOuVrlhrMisg\n \n\n  Abstract: Many natural problems can be described as an abstract Cauchy problem (ACP) . This includes initial value or initial- boundary value problems arising from the partial differential equations (PDEs). These problems find applic ations in physics\, mechanics\, engineering\, control theory\, etc. They c an be put as an (ACP) by considering the associated differential operator in the space variables as operators in some function space. This leads to defining the domain of the operator and considering the boundary condition s into the domain of the operator. The aim of these courses is to prepare a simple and independent presentation of the theory of semi-groups of boun ded linear operators and its application in PDEs. After the introduction\, we will find\, in chapter 1\, some preliminary results: definitions\, lem mas and theorems that we will use throughout these courses. Then\, in chap ter 02\, we introduce the theory of one-parameter semigroups of bounded li near operators. Chapter 03 is concerned with study in detail of the (ACP). First we will study the homogeneous problem and the nonhomogeneous proble m\, and on the occasion we give some illustrative applications to PDEs. Th en we will focus on the regularity and the asymptotic behavior of the solu tions.\n\n//indico.ictp.it/event/11205/ LOCATION:HYBRID Leonardo Building - Luigi Stasi Seminar Room and via Zoom URL://indico.ictp.it/event/11205/ END:VEVENT BEGIN:VEVENT SUMMARY:Dynamical Systems Student Seminar Morning DTSTART;VALUE=DATE-TIME:20251130T090000Z DTEND;VALUE=DATE-TIME:20251130T100000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11236@ictp.it DESCRIPTION:10:00 -10:30 Rubio Gunawan (ICTP & SISSA)\nUniformly Expanding Full Branch Maps with Unusual Attractors\n10:45-11:15 Raul Chavez (ICTP & PUC-Rio\, Brazil)\nNon-statistical behavior arising from fluctuation laws \n11:30-:12:00 Rizwan Ullah (KTH\, Sweden) Doubly intermittent singular sk ew products\n\n//indico.ictp.it/event/11236/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11236/ END:VEVENT BEGIN:VEVENT SUMMARY:Math Special Lecture - Lagrange\, Boussinesq and after... DTSTART;VALUE=DATE-TIME:20251210T100000Z DTEND;VALUE=DATE-TIME:20251210T113000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11241@ictp.it DESCRIPTION:Abstract\n\n In this talk we will briefly recall the history o f the derivation of relevant systems describing surface and internal water waves and present some of the mathematical challenges they offer.\n  \n\ n Link to Zoom registrationhttps://zoom.us/meeting/register/yvNq1HEQS-qF8n CwNX92CQ\n\n \n  \n\n//indico.ictp.it/event/11241/ LOCATION:Hybrid Leonardo Building\, Euler Lecture Hall and via Zoom URL://indico.ictp.it/event/11241/ END:VEVENT BEGIN:VEVENT SUMMARY:IGAP Special Lecture - The little-known Habiro ring DTSTART;VALUE=DATE-TIME:20251218T130000Z DTEND;VALUE=DATE-TIME:20251218T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11246@ictp.it DESCRIPTION:Abstract\n\n The Habiro ring originally arose in topology as t he natural home for quantum invariants of knots and 3-manifolds\, but is a ctually a purely number-theoretical object and in fact a very interesting one\, though for some reason not yet well known to number theorists.  I will give the definition of this ring and explain its main properties and some different elementary ways of looking at it\, with several examples.  If time permits\, I will also say something about its recent generalizat ion to a ring associated to an arbitrary number field.  This latter direc tion arose from my work with Stavros Garoufalidis on quantum invariants of knots and 3-manifolds and was then developed in detail in a joint paper with him\, Peter Scholze\, and Campbell Wheeler. \n  \n\n Link to Zoom registration:https://zoom.us/meeting/register/sP5A5OY7Tf6b9M33j615TA\n  \ n\n//indico.ictp.it/event/11246/ LOCATION:HYBRID Leonardo Building - Budinich Lecture Hall and via Zoom URL://indico.ictp.it/event/11246/ END:VEVENT BEGIN:VEVENT SUMMARY:BASIC NOTIONS SEMINAR: The Calabi Problem DTSTART;VALUE=DATE-TIME:20260116T100000Z DTEND;VALUE=DATE-TIME:20260116T110000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11252@ictp.it DESCRIPTION:\n Abstract\n In his 1954 ICM lecture\, Eugenio Calabi popular ized a formidable problem at the confluence of differential and algebraic geometry\, which became known as the Calabi problem. The problem asks whic h compact complex manifolds admit a special type of constant-curvature met ric\, known as a Kähler-Einstein metric.\n For Kähler manifolds with eit her flat or negative curvature\, the Calabi problem was solved in the 1970 s by Yau and by Aubin and Yau. They confirmed Calabi’s prediction\, show ing that such manifolds always admit a Kähler-Einstein metric. However\, in the case of positively curved projective manifolds - known as Fano mani folds - the existence of a Kähler-Einstein metric is not guaranteed.\n In the past decade\, surprising and deep connections have emerged between th e existence of Kähler-Einstein metrics and birational geometry\, leading to significant advances in the Calabi problem. In this talk\, I will discu ss the problem itself\, its links with birational geometry\, and the curre nt state of the art in dimension three.\n\n//indico.ictp.it/event/11252/ LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room URL://indico.ictp.it/event/11252/ END:VEVENT BEGIN:VEVENT SUMMARY:TRINO Algebraic Geometry Seminar: Higher Fano manifolds DTSTART;VALUE=DATE-TIME:20260120T133000Z DTEND;VALUE=DATE-TIME:20260120T143000Z DTSTAMP;VALUE=DATE-TIME:20260421T101553Z UID:indico-event-11261@ictp.it DESCRIPTION:\n Abstract\n Fano manifolds are complex projective manifolds with positive first Chern class. This condition has far-reaching geometric and arithmetic implications\, making Fano manifolds a central topic in al gebraic geometry. In recent years\, there has been some effort towards def ining suitable higher analogues of the Fano condition. Higher Fano manifol ds are expected to enjoy stronger versions of several of the nice properti es of Fano manifolds.\n In this talk\, I will survey the theory of higher Fano manifolds\, defined in terms of positivity of higher Chern characters . I will also present recent joint work with Roya Beheshti\, Ana-Maria Cas travet\, Kelly Jabbusch\, Svetlana Makarova\, Enrica Mazzon and Nivedita V iswanathan on toric higher Fano manifolds.\n\n \n  \n\n//indico.ictp.it/e vent/11261/ LOCATION:ICTP Lagrange Lecture Hall URL://indico.ictp.it/event/11261/ END:VEVENT END:VCALENDAR