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:20200808T115136Z
UID:indico-event-a0413@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0413/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a03403/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0425@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0425/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/e
vent/a0426/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0441@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0441/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0447@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0447/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0458@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0458/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0463@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0463/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0465@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0465/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0476/
LOCATION:ICTP Main Building Room 239
URL:http://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:20200808T115136Z
UID:indico-event-a0477@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0477/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0484@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0484/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/ev
ent/a0488/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0491@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0491/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0498@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0498/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04102@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04102/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04107@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04107/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a04113/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/a04112/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a04126/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nht
tp://indico.ictp.it/event/a04127/
LOCATION:ICTP Main Building Room 239
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/a04137/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/a04139/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04138@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04138/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/a04140/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/a04162/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04165@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04165/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/a04163/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/a04169/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04171@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04171/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04238@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04238/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04243@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04243/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04247@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04247/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04248@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04248/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04293@ictp.it
DESCRIPTION:On norm principle in algebraic groups\n\nhttp://indico.ictp.it
/event/a04293/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp:/
/indico.ictp.it/event/a04250/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a04304/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04312@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04312/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04314@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04314/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a04321@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a04321/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a04337/
LOCATION:ICTP Adriatico Guest House Kastler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a04360/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0517@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0517/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0612@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0612/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0622@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0622/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0623/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0624@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0624/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0636@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0636/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0635@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0635/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0640/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0650@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0650/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0651@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0651/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0652@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0652/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0659@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0659/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0639/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0661@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0661/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0676@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0676/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nht
tp://indico.ictp.it/event/a0662/
LOCATION:ICTP Main Building Main Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a0680@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0680/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0666/
LOCATION:ICTP Main Building Main Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0667/
LOCATION:ICTP Main Building Main Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a0692@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0692/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/e
vent/a0668/
LOCATION:ICTP Main Building Main Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a0695@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0695/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0696@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0696/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06120@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06120/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a06119/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a06114/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06123@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06123/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06130@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06130/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06135@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06135/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06136@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06136/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06147@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06147/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a06148/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06231@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06231/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06232@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06232/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06235@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06235/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06236@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06236/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06244@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06244/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06243@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06243/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06245@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06245/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06248@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06248/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06251@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06251/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a06253/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06263@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06263/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06276@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06276/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06279@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06279/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06283@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06283/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06301@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06301/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06307@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06307/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06308@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06308/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06309@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06309/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06312@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06312/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06313@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06313/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06319@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06319/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06320@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06320/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06321@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06321/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06325@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06325/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06326@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06326/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06327@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06327/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.
ictp.it/event/a06333/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06337@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a06337/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a06349@ictp.it
DESCRIPTION:Professor Sujatha is the recipient of the 2006 Ramanujan Prize
for Young Mathematicians from Developing Countries.\n\nhttp://indico.ictp
.it/event/a06349/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0726/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0729/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0742/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/a0743/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp
://indico.ictp.it/event/a0755/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0756@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0756/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/a0763/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0759@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0759/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0767@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0767/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0768/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0760/
LOCATION:ICTP Main Building Main Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0769/
LOCATION:ICTP Main Building Main Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://i
ndico.ictp.it/event/a0797/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a07106/
LOCATION:ICTP Main Building Lecture Room D
URL:http://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:20200808T115136Z
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\
nhttp://indico.ictp.it/event/a07109/
LOCATION:SISSA\, Main Building\, ground floor\, Room B
URL:http://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:20200808T115136Z
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
http://indico.ictp.it/event/a07111/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a07112/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a07113/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a07117@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a07117/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a07124/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a07126/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a07136@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a07136/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a07227/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a07228/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0
7234/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a07235@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a07235/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0723
8/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ict
p.it/event/a07241/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a07260@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a07260/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a07271@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a07271/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a07291@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a07291/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a07299@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a07299/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/even
t/a07303/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a07310/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a07321
/
LOCATION:ICTP Main Building Main Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a085/
LOCATION:ICTP Main Building Main Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0819/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0824/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a08
31/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0839/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://i
ndico.ictp.it/event/a0848/
LOCATION:ICTP Main Building Lecture Room C
URL:http://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:20200808T115136Z
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
\nhttp://indico.ictp.it/event/a0850/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0855@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0855/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0859@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0859/
LOCATION:ICTP Main Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0871@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0871/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0883@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0883/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/eve
nt/a0869/
LOCATION:ICTP Leonardo da Vinci Building Main Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a0886@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0886/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0887@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0887/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0888@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0888/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08101@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08101/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08102@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08102/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08103@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08103/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a08104@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08104/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp
.it/event/a08130/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a08133/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp
.it/event/a08131/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico
.ictp.it/event/a08135/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08137@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08137/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08228@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08228/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08229@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08229/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a08236/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://in
dico.ictp.it/event/a08237/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08240@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08240/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08248@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08248/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp
.it/event/a08249/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08256@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08256/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08265@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08265/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08273@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08273/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a08274@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a08274/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0912@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0912/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nh
ttp://indico.ictp.it/event/a0934/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0935@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0935/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0944@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0944/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0950@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0950/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/ev
ent/a0951/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0945@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0945/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/a0958/
LOCATION:ICTP Leonardo da Vinci Building Main Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a0967@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0967/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0972@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0972/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0979@ictp.it
DESCRIPTION:This will be the first of two talks.\n\nhttp://indico.ictp.it/
event/a0979/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0985@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0985/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a0996@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a0996/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico
.ictp.it/event/a0997/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0998/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://in
dico.ictp.it/event/a0999/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a09111@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a09111/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a09115@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a09115/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a0912
5/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a09123/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indic
o.ictp.it/event/a09127/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico
.ictp.it/event/a09194/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a09201/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a09198@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a09198/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/even
t/a09199/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a09209@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a09209/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a09212@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a09212/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a09218@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a09218/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a09241@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a09241/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.
it/event/a09251/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a09252@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a09252/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a09259@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a09259/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1020/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/a1021/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/ev
ent/a1022/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a1019@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1019/
LOCATION:ICTP Leonardo da Vinci Building Seminar Room
URL:http://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:20200808T115136Z
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
http://indico.ictp.it/event/a1028/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a1043@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1043/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a1053@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1053/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1062@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1062/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1074/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ic
tp.it/event/a1076/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1078@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1078/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1081/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1082/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1089/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/
event/a1090/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10107@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10107/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10108@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10108/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhtt
p://indico.ictp.it/event/a10113/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10122@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10122/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10198@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10198/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a10197/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10205@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10205/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10206@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10206/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10207@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10207/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10208@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10208/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10210@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10210/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/
event/a10212/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a10213/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a10214/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/a10215/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10217@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10217/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10218@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10218/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10219@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10219/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10220@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10220/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10221@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10221/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10222@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10222/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10223@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10223/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10224@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10224/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10216@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10216/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a10231/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10229@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10229/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event
/a10240/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a10242/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1
0241/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1
0252/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10256@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10256/
LOCATION:University of Trieste
URL:http://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:20200808T115136Z
UID:indico-event-a10257@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10257/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a10264@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10264/
LOCATION:ICTP Adriatico Guest House Giambiagi Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/
event/a10266/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a10273/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10280@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10280/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.
it/event/a10294/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10300@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10300/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a10302/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10291@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10291/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a10317@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a10317/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a10320
/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a10321/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1
0322/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/
event/a10323/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp:/
/indico.ictp.it/event/a10328/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp
.it/event/a1112/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1114/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1117@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1117/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\
nhttp://indico.ictp.it/event/a1132/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1136@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1136/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1118/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1133/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1139@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1139/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1147@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1147/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1149/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1158/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1161/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a
1183/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1185/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1192/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1194/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11101@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11101/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11102@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11102/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11103@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11103/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11104@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11104/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11107/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nh
ttp://indico.ictp.it/event/a11108/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11111@ictp.it
DESCRIPTION:\n * ACTIVITY CANCELLED *\n\nhttp://indico.ictp.it/event/a1111
1/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nh
ttp://indico.ictp.it/event/a11114/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11116/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11115/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11123@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11123/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11124@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11124/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11129@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11129/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11130@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11130/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1
174/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ic
tp.it/event/a11132/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11136/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11139@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11139/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11149/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11217/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11231@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11231/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11240@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11240/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11257@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11257/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11258@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11258/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indic
o.ictp.it/event/a11259/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11268/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it
/event/a11269/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11270@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11270/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11273/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11281/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11284/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11286/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a11290/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11291@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11291/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a11321@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a11321/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a126@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a126/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1213@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1213/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1217@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1217/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1218@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1218/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nht
tp://indico.ictp.it/event/a1234/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1245@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1245/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1262/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1274@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1274/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1277@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1277/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1287@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1287/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a1292@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1292/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12102@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12102/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a12103@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12103/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a12108@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12108/
LOCATION:ICTP Leonardo da Vinci Building Oppenheimer Meeting Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a12
117/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a12
118/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a12124@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12124/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12125@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12125/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1212
7/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a12128/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12129@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12129/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a12137/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12130@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12130/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-a12145@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12145/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a12147/
LOCATION:ICTP Leonardo da Vinci Building Main Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a12153/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a12260
/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://in
dico.ictp.it/event/a12278/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12279@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12279/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12286@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12286/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12297@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12297/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12300@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12300/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12301@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12301/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a12318/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12319@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12319/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12333@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12333/
LOCATION:ICTP Adriatico Guest House Denardo Lecture Hall
URL:http://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:20200808T115136Z
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\nht
tp://indico.ictp.it/event/a12341/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a12342@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a12342/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a12343/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a132@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a132/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it
/event/a1336/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp:
//indico.ictp.it/event/a1331/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1339/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/eve
nt/a1343/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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
\nhttp://indico.ictp.it/event/a1368/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a1375@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a1375/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1396/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13102/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13108/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13111@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13111/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13115/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a
13114/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13128/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indic
o.ictp.it/event/a13118/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13110@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13110/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13147/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13152/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13156@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13156/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13157/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13
153/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13160@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13160/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhtt
p://indico.ictp.it/event/a13175/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13176@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13176/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13263@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13263/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/
event/a13269/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13271@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13271/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13273@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13273/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://ind
ico.ictp.it/event/a13281/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a1
3290/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13308@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13308/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a13301@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13301/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13302@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13302/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13303@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13303/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13307@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13307/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13312@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13312/
LOCATION:ICTP Leonardo da Vinci Building Lecture Room D
URL:http://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:20200808T115136Z
UID:indico-event-a13309@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13309/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13314/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhtt
p://indico.ictp.it/event/a13315/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13325@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13325/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13340@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13340/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://ind
ico.ictp.it/event/a13326/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13328@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13328/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/a13351/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13358/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13359
/
LOCATION:ICTP Leonardo da Vinci Building Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13362/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13329/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a13363
/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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
\nhttp://indico.ictp.it/event/a13330/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a13369@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a13369/
LOCATION:ICTP Leonardo da Vinci Building Oppenheimer Meeting Room
URL:http://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:20200808T115136Z
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\nhttp:
//indico.ictp.it/event/a13372/
LOCATION:ICTP Leonardo da Vinci Building Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-a14112@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14112/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\
nhttp://indico.ictp.it/event/a14115/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14116@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14116/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14130/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14131/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14139/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp
://indico.ictp.it/event/a14117/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14149@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14149/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14118/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14113@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14113/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14132/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14114@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14114/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14119@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14119/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14150/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14148@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14148/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nht
tp://indico.ictp.it/event/a14161/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14162/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14166/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14171@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14171/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14168/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14178@ictp.it
DESCRIPTION:We will go through Tom Bridgeland's paper "Flops and derived c
ategories".\n\nhttp://indico.ictp.it/event/a14178/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico
.ictp.it/event/a14179/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14187/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico
.ictp.it/event/a14180/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14193/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14194@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14194/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14199@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14199/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ic
tp.it/event/a14205/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://ind
ico.ictp.it/event/a14210/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14213/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14209/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14214/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14218/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14223@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14223/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14224/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14305@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14305/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14306@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14306/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14320/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14323/
LOCATION:ICTP
URL:http://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:20200808T115136Z
UID:indico-event-a14327@ictp.it
DESCRIPTION:http://indico.ictp.it/event/a14327/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/a14339/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event
/a14345/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/eve
nt/7283/
LOCATION:ICTP Luigi Stasi Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7312/
LOCATION: LB - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7320/
LOCATION: LB - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7327@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7327/
LOCATION: Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7351/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7361@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7361/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7363@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7363/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\
nhttp://indico.ictp.it/event/7368/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\
nhttp://indico.ictp.it/event/7369/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7381@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7381/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp:
//indico.ictp.it/event/7370/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7392/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7393/
LOCATION:ICTP Leonardo Building - Euler Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-7398@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7398/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7399@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7399/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/ev
ent/7409/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7406@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7406/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7421@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7421/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7430@ictp.it
DESCRIPTION:(Joint work with Issam Naghmouchi)\n\nhttp://indico.ictp.it/ev
ent/7430/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7443/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7440/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7447/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/even
t/7441/
LOCATION:ICTP Leonardo Building - Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp:
//indico.ictp.it/event/7462/
LOCATION:ICTP Leonardo Building - Lecture Room D
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/
7466/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\
nhttp://indico.ictp.it/event/7467/
LOCATION:ICTP Leonardo Building - Lecture Room D
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7475/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7481/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7491/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/eve
nt/7492/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://i
ndico.ictp.it/event/7572/
LOCATION:ICTP Leonardo Building - Lecture Room D
URL:http://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:20200808T115136Z
UID:indico-event-7580@ictp.it
DESCRIPTION:Second lecture of the Mini-course on "Introduction to Hodge th
eory: classic and p-adic".\n\nhttp://indico.ictp.it/event/7580/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp
.it/event/7577/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7581/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7578@ictp.it
DESCRIPTION:Third lecture of the Mini-course on "Introduction to Hodge the
ory: classic and p-adic".\n\nhttp://indico.ictp.it/event/7578/
LOCATION:ICTP Leonardo Building - Lecture Room D
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7579/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/758
3/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7582@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7582/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event
/7588/
LOCATION:ICTP Leonardo Building - Lecture Room D
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7589/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7671
/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7692/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp
.it/event/7685/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/
event/7698/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7699@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7699/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7702/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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
http://indico.ictp.it/event/7700/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.
it/event/7703/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ict
p.it/event/7717/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/7729/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/7718/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7733/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7734/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/77
38/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7743/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico
.ictp.it/event/7746/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/77
39/
LOCATION:SISSA Room 137
URL:http://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:20200808T115136Z
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\nhttp://indico.ic
tp.it/event/7753/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7761@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7761/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7776/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico
.ictp.it/event/7774/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7775/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7808@ictp.it
DESCRIPTION:http://indico.ictp.it/event/7808/
LOCATION:SISSA A-005
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7796/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event
/7820/
LOCATION:SISSA Room 133
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7831/
LOCATION:SISSA A-137
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7875/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://i
ndico.ictp.it/event/7897/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7898@ictp.it
DESCRIPTION:Abstract: I plan to discuss the setting and formulate some new
results.\n\nhttp://indico.ictp.it/event/7898/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.
ictp.it/event/7907/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp:
//indico.ictp.it/event/7908/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7916/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8077@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8077/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7928/
LOCATION:SISSA TBA
URL:http://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:20200808T115136Z
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\nhttp:
//indico.ictp.it/event/7929/
LOCATION:ICTP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/7938/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-7926@ictp.it
DESCRIPTION:Abstract: see attached announcement\n\nhttp://indico.ictp.it/e
vent/7926/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://ind
ico.ictp.it/event/7942/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8025@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8025/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8024/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8043/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8038/
LOCATION:SISSA room 134
URL:http://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:20200808T115136Z
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\nhttp://ind
ico.ictp.it/event/8052/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indic
o.ictp.it/event/8065/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/8070/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/8066/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8071/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/80
92/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nh
ttp://indico.ictp.it/event/8093/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/810
4/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8105@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8105/
LOCATION:ICTP Leonardo Building - Lecture Room D
URL:http://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:20200808T115136Z
UID:indico-event-8106@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8106/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8117/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8126@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8126/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/8127/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8133/
LOCATION:SISSA 136
URL:http://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:20200808T115136Z
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\nht
tp://indico.ictp.it/event/8147/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8148/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/
8149/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indi
co.ictp.it/event/8154/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8200/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ic
tp.it/event/8201/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8186@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8186/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8205/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp
://indico.ictp.it/event/8209/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8211/
LOCATION:SISSA Lecture room 136
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8214/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ict
p.it/event/8220/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/8207/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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
http://indico.ictp.it/event/8240/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8255/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8260/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8257/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indi
co.ictp.it/event/8259/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8274/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8279/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event
/8284/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp
.it/event/8287/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8283@ictp.it
DESCRIPTION:Abstract - see attached file\n\nhttp://indico.ictp.it/event/82
83/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.
ictp.it/event/8387/
LOCATION:ICTP Leonardo Building - Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8388/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ict
p.it/event/8403/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8415/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8416/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/even
t/8417/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8435/
LOCATION:ICTp Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8434/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8433/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8450/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ict
p.it/event/8451/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ict
p.it/event/8452/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8455/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8462/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indi
co.ictp.it/event/8468/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8469/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8463/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8441/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ict
p.it/event/8453/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp
.it/event/8454/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8464/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\
nhttp://indico.ictp.it/event/8483/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8482/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/e
vent/8479/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8502@ictp.it
DESCRIPTION:Abstract - see file below\n\nhttp://indico.ictp.it/event/8502/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp
.it/event/8509/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico
.ictp.it/event/8510/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8511/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8532@ictp.it
DESCRIPTION:\n (joint work with Wael Bahsoun and Chris Bose)\n\nhttp://ind
ico.ictp.it/event/8532/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8507@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8507/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/
event/8549/
LOCATION:ICTP SISSA building
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8515/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-8512@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8512/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indi
co.ictp.it/event/8485/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8539/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event
/8550/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://i
ndico.ictp.it/event/8567/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/ev
ent/8566/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8568@ictp.it
DESCRIPTION:Abstract - See document below\n\nhttp://indico.ictp.it/event/8
568/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8573@ictp.it
DESCRIPTION:Abstract:\nThey are quite different\, and both quite amazing.\
n\nhttp://indico.ictp.it/event/8573/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8585@ictp.it
DESCRIPTION:\n Abstract: See file below\n\nhttp://indico.ictp.it/event/858
5/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8572/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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
http://indico.ictp.it/event/8590/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8592/
LOCATION:ICTP Leonardo Building - Lecture Room D
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8569/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/eve
nt/8583/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://i
ndico.ictp.it/event/8584/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8597@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8597/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ic
tp.it/event/8605/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8619/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8618/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8627@ictp.it
DESCRIPTION:Abstract: see document below\n\nhttp://indico.ictp.it/event/86
27/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.
ictp.it/event/8608/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8623/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8668/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/86
64/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.i
ctp.it/event/8665/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.i
ctp.it/event/8692/
LOCATION:ICTP Luigi Stasi Room
URL:http://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:20200808T115136Z
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\
nhttp://indico.ictp.it/event/8697/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8
737/
LOCATION:ICTP Luigi Stasi Room
URL:http://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:20200808T115136Z
UID:indico-event-8748@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8748/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8764@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8764/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/
event/8783/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8790/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/ev
ent/8800/
LOCATION: Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8793/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/
8802/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/8765/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8809/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8808@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8808/
LOCATION:Istanbul Center for Mathematical Sciences Cahit Arf Auditorium
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.
it/event/8810/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8813/
LOCATION:ICTP Leonardo Building - Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8766/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8788/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp
://indico.ictp.it/event/8814/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/8815/
LOCATION:ICTP Leonardo Building - Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8819/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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
\nhttp://indico.ictp.it/event/8812/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8825/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8828/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8846@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8846/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8832/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/even
t/8820/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8
835/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8836/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ic
tp.it/event/8837/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8849@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8849/
LOCATION:ICTP Leonardo Building - Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8845/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8866/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ic
tp.it/event/8848/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nht
tp://indico.ictp.it/event/8867/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8855@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8855/
LOCATION:ICTP Leonardo Building - Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp
://indico.ictp.it/event/8870/
LOCATION:ICTP Leonardo Building - Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nh
ttp://indico.ictp.it/event/8871/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8882/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8878@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8878/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it
/event/8887/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8872@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8872/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/8895/
LOCATION:ICTP IGAP (the old SISSA building)
URL:http://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:20200808T115136Z
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\nhttp://indico.ict
p.it/event/8884/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/8896/
LOCATION:ICTP IGAP (the old SISSA building)
URL:http://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:20200808T115136Z
UID:indico-event-8908@ictp.it
DESCRIPTION:Please see attached Abstract.\n\nhttp://indico.ictp.it/event/8
908/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8873@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8873/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.
ictp.it/event/8919/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8918/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it
/event/8927/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.i
ctp.it/event/8920/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8926@ictp.it
DESCRIPTION:Abstract: Please see attached.\n\nhttp://indico.ictp.it/event/
8926/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8938@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8938/
LOCATION:Old SISSA Building IGAP
URL:http://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:20200808T115136Z
UID:indico-event-8921@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8921/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8924@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8924/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8939/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8946/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8925@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8925/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8943/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8941/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8958/
LOCATION:IGAP Seminar room (old Sissa Building)
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8
961/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8967/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-8976@ictp.it
DESCRIPTION:http://indico.ictp.it/event/8976/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8973/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhtt
p://indico.ictp.it/event/8975/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8970/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8997/
LOCATION:Former SISSA Building IGAP Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ict
p.it/event/8995/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/8974/
LOCATION:ICTP Leonardo Building - Euler Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9002/
LOCATION: Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/8998/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9004/
LOCATION: Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indi
co.ictp.it/event/8994/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9005/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9009/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-9014@ictp.it
DESCRIPTION:Please see attached abstract\n\nhttp://indico.ictp.it/event/90
14/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9016/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp
://indico.ictp.it/event/9034/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-9038@ictp.it
DESCRIPTION:http://indico.ictp.it/event/9038/
LOCATION:ICTP Leonardo Building - Lecture Room H
URL:http://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:20200808T115136Z
UID:indico-event-9015@ictp.it
DESCRIPTION:Please see attached abstract.\n\nhttp://indico.ictp.it/event/9
015/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-9045@ictp.it
DESCRIPTION:Please see attached abstract\n\nhttp://indico.ictp.it/event/90
45/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9043/
LOCATION:IGAP Old SISSA Building
URL:http://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:20200808T115136Z
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\nhttp://i
ndico.ictp.it/event/9044/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-9061@ictp.it
DESCRIPTION:Please see attached abstract\n\nhttp://indico.ictp.it/event/90
61/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9065/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9066/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9068/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9076/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9078/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhtt
p://indico.ictp.it/event/9141/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-9149@ictp.it
DESCRIPTION:http://indico.ictp.it/event/9149/
LOCATION:SISSA SISSA\, Boris Dubrovin room 136
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9153/
LOCATION:SISSA SISSA\, Room A-136
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9154/
LOCATION:SISSA Boris Dubrovin Lecture room (A-136)
URL:http://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:20200808T115136Z
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
http://indico.ictp.it/event/9152/
LOCATION:SISSA Boris Dubrovin Lecture room (A-136)
URL:http://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:20200808T115136Z
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\nhttp:
//indico.ictp.it/event/9150/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9166/
LOCATION:IGAP Old SISSA building
URL:http://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:20200808T115136Z
UID:indico-event-9151@ictp.it
DESCRIPTION:http://indico.ictp.it/event/9151/
LOCATION:SISSA SISSA - Room A-004
URL:http://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:20200808T115136Z
UID:indico-event-9167@ictp.it
DESCRIPTION:http://indico.ictp.it/event/9167/
LOCATION:SISSA SISSA-Boris Dubrovin Lecture room (A-136)
URL:http://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:20200808T115136Z
UID:indico-event-9165@ictp.it
DESCRIPTION:http://indico.ictp.it/event/9165/
LOCATION:ICTP Leonardo Building - Lecture Room B
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/
9182/
LOCATION:SISSA Boris Dubrovin Lecture room (A-136) SISSA
URL:http://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:20200808T115136Z
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
http://indico.ictp.it/event/9168/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9171/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9193/
LOCATION:SISSA SISSA-Room A-134
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9200/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9183/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9194/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9205/
LOCATION:SISSA Room A-137
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.
it/event/9184/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nh
ttp://indico.ictp.it/event/9210/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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
http://indico.ictp.it/event/9216/
LOCATION:SISSA SISSA\, Room (A-136)
URL:http://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:20200808T115136Z
UID:indico-event-9218@ictp.it
DESCRIPTION:http://indico.ictp.it/event/9218/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9222/
LOCATION:SISSA Room (A-136) SISSA
URL:http://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:20200808T115136Z
UID:indico-event-9221@ictp.it
DESCRIPTION:http://indico.ictp.it/event/9221/
LOCATION:Old SISSA Building IGAP
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9226/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indic
o.ictp.it/event/9237/
LOCATION:SISSA Boris Dubrovin Lecture room (A-136)
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/9186/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://
indico.ictp.it/event/9227/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9244/
LOCATION:SISSA Boris Dubrovin Lecture room (A-136)
URL:http://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:20200808T115136Z
UID:indico-event-9229@ictp.it
DESCRIPTION:Please see attached Abstract\n\nhttp://indico.ictp.it/event/92
29/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp
://indico.ictp.it/event/9255/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9259/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp:
//indico.ictp.it/event/9258/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/92
60/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it
/event/9281/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9291/
LOCATION:SISSA Lecture Room A-134
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9303/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
UID:indico-event-9306@ictp.it
DESCRIPTION:For further information about the seminar please visithttp://u
sers.ictp.it/~arincon/AGS.html\n\nhttp://indico.ictp.it/event/9306/
LOCATION:SISSA Room 136
URL:http://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:20200808T115136Z
UID:indico-event-9312@ictp.it
DESCRIPTION:http://indico.ictp.it/event/9312/
LOCATION:SISSA Boris Dubrovin Lecture room (A-136)
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9318/
LOCATION:SISSA Lecture Room 134
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9328/
LOCATION:SISSA Room 133
URL:http://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:20200808T115136Z
UID:indico-event-9331@ictp.it
DESCRIPTION:http://indico.ictp.it/event/9331/
LOCATION: Adriatico Guest House - Denardo Lecture Hall
URL:http://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:20200808T115136Z
UID:indico-event-9332@ictp.it
DESCRIPTION:http://indico.ictp.it/event/9332/
LOCATION: Adriatico Guest House - Denardo Lecture Hall
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9330/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9326/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9347/
LOCATION:Zoom Meeting Meeting ID: 749-725-833
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp
.it/event/9354/
LOCATION:Zoom Meeting https://zoom.us/meeting/register/tJcrcuurrTwrG
t16s9nn0erFUBap8n3GJh3U
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp
.it/event/9372/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9
378/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9389/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9391/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.
it/event/9404/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9380/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/ev
ent/9403/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp
://indico.ictp.it/event/9397/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/even
t/9396/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.i
t/event/9422/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event
/9423/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9425/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp://indico.ictp.it/event/9413/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nhttp:/
/indico.ictp.it/event/9430/
LOCATION:Zoom Meeting
URL:http://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:20200808T115136Z
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\nht
tp://indico.ictp.it/event/9432/
LOCATION:Zoom Meeting
URL:http://indico.ictp.it/event/9432/
END:VEVENT
END:VCALENDAR