BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Asymptotics (Basic Notions Seminar)
DTSTART;VALUE=DATE-TIME:20141106T153000Z
DTEND;VALUE=DATE-TIME:20141106T163000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7300@ictp.it
DESCRIPTION://indico.ictp.it/event/7300/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7300/
END:VEVENT
BEGIN:VEVENT
SUMMARY:An introduction to cohomology
DTSTART;VALUE=DATE-TIME:20141205T153000Z
DTEND;VALUE=DATE-TIME:20141205T163000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7328@ictp.it
DESCRIPTION:(Basic Notions Seminar)\n\nAbstract: \nAlthough at first the s
tandard definitions of cohomology may seem very strange\, I will show how
cochain complexes and cohomology arise naturally from the seemingly-trivia
l study of locally constant functions on smooth manifolds. As application
s\, we will see that a manifold cannot retract to its boundary\, and that
there is no orientation-reversing diffeomorphism of CP^2.\n\n//indico.ictp
.it/event/7328/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7328/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Basic notions: Symmetric polynomials
DTSTART;VALUE=DATE-TIME:20150225T153000Z
DTEND;VALUE=DATE-TIME:20150225T163000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7396@ictp.it
DESCRIPTION:Abstract:\n\n Symmetric polynomials arise in many different fi
elds\, such as combinatorics\, representation theory\, analysis\, algebrai
c geometry\, topology\, probability\, mathematical physics. They are a ver
y powerful tool for computation because a lot of information can be encode
d in simple expressions. In this lecture I will construct different famili
es of symmetric polynomials and show how to do simple manipulations with t
hem. Then I will try to demonstrate the power of symmetric polynomials in
some applications: if time permits\, I will compute some integrals\, defin
e zeta function of a dynamical system and compute some determinants.\n\n//
indico.ictp.it/event/7396/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7396/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quantum Black Holes and Number Theory (Basic Notions Seminar)
DTSTART;VALUE=DATE-TIME:20150508T143000Z
DTEND;VALUE=DATE-TIME:20150508T153000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7453@ictp.it
DESCRIPTION:Abstract:\n\n I will explain the physical motivations for
studying quantum properties of black holes and their significance for
our explorations of quantum gravity. After an introduction for non-speci
alists to some of the basic concepts in the physics of black holes\, I wil
l describe how the study of quantum black holes in string theory has led
to some surprising connections with areas at the forefront of research in
number theory\, in particular\, concerning modular forms of various ki
nds.\n\n//indico.ictp.it/event/7453/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7453/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Deterministic systems that behave probabilistically (Basic Notions
Seminar)
DTSTART;VALUE=DATE-TIME:20150605T143000Z
DTEND;VALUE=DATE-TIME:20150605T153000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7480@ictp.it
DESCRIPTION:Abstract:\nIn this talk I will try to explain what it means fo
r a deterministic system (a dynamical system whose time evolution is compl
etely determined by some equations) to behave in a probabilistic manner. F
irst through simple examples I will introduce the modern mathematical term
inology for probability theory (i.e\, such things as probability spaces\,
random observables\, law of large numbers\, central limit theorem) and the
n explain how these concepts are helpful in understanding behavior of cert
ain deterministic dynamical systems.\n\n//indico.ictp.it/event/7480/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7480/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Enumerative Geometry (Basic Notions Seminar)
DTSTART;VALUE=DATE-TIME:20150930T140000Z
DTEND;VALUE=DATE-TIME:20150930T150000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7694@ictp.it
DESCRIPTION:\n Abstract: Enumerative geometry is one of the oldest parts o
f mathematics\, with entry-level problems that can be explained to the lay
man (given four lines in space\, how many lines meet/intersect all of them
?). Yet in recent decades stunning progress has come thanks to a synergy o
f algebraic and complex geometry\, string theory and function theory. In t
his talk we give a very partial overview\, highlighting the interplay betw
een concrete problems and theoretical advances.\n\n//indico.ictp.it/event/
7694/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7694/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Isoperimetric problems and minimal surfaces
DTSTART;VALUE=DATE-TIME:20151030T130000Z
DTEND;VALUE=DATE-TIME:20151030T140000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7731@ictp.it
DESCRIPTION:\n Abstract: I will describe few classical variational problem
s related to very basic geometrical notions\, such as length of curves\, a
rea of surfaces and volumes. I will give the solution of the classical iso
perimetric problem and how this problem rapidly induces natural related pr
oblems which are largely open. Increasing dimension\, I will show how the
mean curvature of a surface becomes the key ingredient and give an overvie
w of the classical theory of "minimal" surfaces in euclidean space. Time p
ermitting\, I will describe few applications of these theories to natural
sciences\, from general relativity to biology.\n\n//indico.ictp.it/event/7
731/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7731/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The calculus of variations: basic notions and recent applications
(Basic Notions Seminar)
DTSTART;VALUE=DATE-TIME:20151202T150000Z
DTEND;VALUE=DATE-TIME:20151202T160000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7748@ictp.it
DESCRIPTION:\n Abstract:\n The calculus of variations deals with a wide cl
ass of minimum problems. In the seminar some of the classical necessary an
d sufficient conditions for minimality will be presented\, together with a
selection of classical examples. The modern approach to the problem of th
e existence of minimizers will be discussed. A quick description of some r
ecent applications to fracture mechanics will conclude the presentation.\n
\n//indico.ictp.it/event/7748/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7748/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A glimpse at rough integrals and rough differential equations
DTSTART;VALUE=DATE-TIME:20160211T133000Z
DTEND;VALUE=DATE-TIME:20160211T150000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7795@ictp.it
DESCRIPTION:\n Abstract:\n Non-differentiable continuous functions appear
in a variety of contexts. For example\, the Black-Scholes equations from f
inance are differential equations driven by a Brownian motion\, which itse
lf is an example of a (random) non-differentiable continuous function. To
solve these equations\, we must be able to integrate against functions whi
ch are not even of bounded variation\, so that Riemann-Stieljes integratio
n cannot be used.\n In this talk\, we will give a brief overview of the th
eory of rough paths which extends the more familiar Riemann-Stieljes and Y
oung integrals to very irregular functions\, and allows to treat such diff
erential equations. We will focus on the theory of controlled rough paths
introduced by Gubinelli in 2004.\n The talk should be accessible to studen
ts with a background in real analysis. No knowledge of probability is requ
ired.\n\n//indico.ictp.it/event/7795/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7795/
END:VEVENT
BEGIN:VEVENT
SUMMARY: The theoretical bases of quantum statistical mechanics and a rece
ntly identified mechanism for their failure
DTSTART;VALUE=DATE-TIME:20160428T143000Z
DTEND;VALUE=DATE-TIME:20160428T160000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7857@ictp.it
DESCRIPTION:\n Abstract: \n I will review the basic physical hypothesis on
the microscopic dynamics of a quantum system which are made to justify it
s approximate treatment with the tools of statistical mechanics. In partic
ular\, I will focus on the modern treatment of the ergodic hypothesis\, th
e Eigenstate Thermalisation Hypothesis (or ETH). The prominent failure mod
e in generic quantum systems is called Many-Body Localization (or MBL) and
it is at the core of the current research on the foundations of statistic
al mechanics.\n\n//indico.ictp.it/event/7857/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7857/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Weil Conjectures
DTSTART;VALUE=DATE-TIME:20160519T140000Z
DTEND;VALUE=DATE-TIME:20160519T150000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7883@ictp.it
DESCRIPTION:Abstract: The Weil conjectures is a deep and famous theorem (c
onjectured by Andre Weil and proven after work of others by Pierre Deligne
) in algebraic geometry\, which relates the homology (thus the topology) o
f complex projective algebraic varieties to counting of points of algebrai
c varieties over finite fields. The aim of this lecture is to give an idea
of what the theorem says and give some elementary examples.\n\n//indico.i
ctp.it/event/7883/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7883/
END:VEVENT
BEGIN:VEVENT
SUMMARY:How to make good decisions
DTSTART;VALUE=DATE-TIME:20160624T150000Z
DTEND;VALUE=DATE-TIME:20160624T160000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7890@ictp.it
DESCRIPTION:Abstract:\n\n Why is decision-making so difficult? There are t
hree main reasons: first\, our limited ability in computing optimal strate
gies\; second\, the incomplete knowledge of the world around us\; third\,
the inaccuracy of the predictions about the consequences of our actions. U
nder this severe conditions\, is it still possible to act optimally?\n Wit
h the aid of examples from biology\, medicine and computer science\, I wil
l discuss how the theory of Markov Decision Processes and Reinforcement Le
arning provides an answer to this question.\n\n//indico.ictp.it/event/7890
/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7890/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Palm Measures
DTSTART;VALUE=DATE-TIME:20160712T143000Z
DTEND;VALUE=DATE-TIME:20160712T153000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7914@ictp.it
DESCRIPTION:Abstract:\n\n An important impetus for the development of the
theory of point processes came in the early XXth century when telephone co
mpanies tried to reduce the customers' waiting time. Conrad Palm\, who wor
ked for Ericsson in Stockholm\, proposed to consider the waiting time for
the next call provided a call has just arrived. This beautiful idea\, deve
loped by Alexander Yakovlevich Khintchine\, gave rise to the fundamental c
oncept of Palm measures for point processes. In this introductory seminar\
, I will start by reviewing the classical Palm-Khintchine Theorem of the 1
950's. We will then consider processes with long-range interaction\, namel
y\, determinantal point processes and study their conditional measures usi
ng Palm theory following the preprint http://arxiv.org/pdf/1605.01400v1.pd
f\n The elementary introductory talk is aimed at non-specialists.\n\n//ind
ico.ictp.it/event/7914/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7914/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Algebraic cycles (Basic Notions Seminar)
DTSTART;VALUE=DATE-TIME:20160804T143000Z
DTEND;VALUE=DATE-TIME:20160804T153000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-7937@ictp.it
DESCRIPTION:\n Abstract: Much of the theory of algebraic cycles is an atte
mpt to see algebraic geometry using basic intuition that comes from algebr
aic topology. It brought an array of general conjectures and concrete pred
ictions that are as yet unproved\; some of them will be discussed in the t
alk.\n\n//indico.ictp.it/event/7937/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/7937/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Groups\, elliptic curves and bitcoin (Basic Notions Seminar)
DTSTART;VALUE=DATE-TIME:20161007T123000Z
DTEND;VALUE=DATE-TIME:20161007T133000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-8030@ictp.it
DESCRIPTION:\n Abstract: I'll explain what elliptic curves are and how the
y give us groups. Then I'll talk a bit about bitcoin (a form of "digital m
oney") and show how these groups are used in the security of bitcoin.\n\n/
/indico.ictp.it/event/8030/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/8030/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Modular Forms and Representation Theory (Basic Notions Seminar)
DTSTART;VALUE=DATE-TIME:20161103T153000Z
DTEND;VALUE=DATE-TIME:20161103T163000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-8049@ictp.it
DESCRIPTION:\n Abstract: The speaker will give an introductory overview to
recent research at the interface of modular forms and representation theo
ry. The author will introduce connections between Rogers-Ramanujan type id
entities and mock theta functions to the theory of Moonshine.\n\n//indico.
ictp.it/event/8049/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/8049/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quiver Moduli (Basic Notions Seminar)
DTSTART;VALUE=DATE-TIME:20170228T160000Z
DTEND;VALUE=DATE-TIME:20170228T170000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-8163@ictp.it
DESCRIPTION:\n Abstract: Moduli spaces are geometric objects encoding the
continuous parameters of a classification problem. A particularly accessib
le instance are quiver moduli\, encoding linear algebra problems. In the t
alk we will look at their construction\, study classes of examples\, put t
hem into their mathematical/physical context\, and highlight some general
results.\n\n//indico.ictp.it/event/8163/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/8163/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Global warming: Scientific evidence\, attribution and uncertaintie
s (Basic Notions Seminar)
DTSTART;VALUE=DATE-TIME:20170314T150000Z
DTEND;VALUE=DATE-TIME:20170314T160000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-8168@ictp.it
DESCRIPTION:\n Abstract: In this lecture I will first review the diffe
rent lines of evidence that have lead the scientific community to conclude
the "Global warming is unequivocal". Within this context I will also comm
ent on some misinterpretations of the data that are sometimes reported\, f
or example in the press. I will then focus on the topic of attribution of
the observed warming trend to the increase of greenhouse gas concentration
s of anthropogenic origin\, and how climate models play a crucial role wit
hin this context. Finally\, I will review the concept of future climate pr
ediction (or projection) and the different sources of uncertainty underlyi
ng climate projections\, including a discussion of the topic of uncertaint
y characterization within the context of the climate change debate.\n\n//i
ndico.ictp.it/event/8168/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/8168/
END:VEVENT
BEGIN:VEVENT
SUMMARY:BASIC NOTIONS SEMINAR: Modular groups over the quaternions and the
ir corresponding four dimensional hyperbolic orbifolds and manifolds
DTSTART;VALUE=DATE-TIME:20180913T140000Z
DTEND;VALUE=DATE-TIME:20180913T150000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-8672@ictp.it
DESCRIPTION:\n Abstract: Using the rings of Lipschitz and Hurwitz integers
in the quaternion division algebra of the quaternions we define several K
leinian discrete subgroups of isometries of hyperbolic 4-space. These grou
ps are a quaternionic versions of the classical modular group and Picard g
roup. The quotients of hyperbolic 4-space by the action of these groups gi
ve examples of arithmetic orbifolds which are finitely covered by very int
eresting arithmetic hyperbolic 4-manifolds of finite volume.\n\n//indico.i
ctp.it/event/8672/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL://indico.ictp.it/event/8672/
END:VEVENT
BEGIN:VEVENT
SUMMARY:BASIC NOTIONS SEMINAR: The Poincaré disk and non-euclidean geomet
ry
DTSTART;VALUE=DATE-TIME:20180913T140000Z
DTEND;VALUE=DATE-TIME:20180913T150000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-8703@ictp.it
DESCRIPTION:Abstract: \n\n We will explain some basic notions of hyperboli
c geometry and its relations to complex geometry and other parts of mathem
atics.\n\n//indico.ictp.it/event/8703/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL://indico.ictp.it/event/8703/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Apparent contours and reconstruction of solid shapes
DTSTART;VALUE=DATE-TIME:20181018T140000Z
DTEND;VALUE=DATE-TIME:20181018T150000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-8754@ictp.it
DESCRIPTION:\n We shall discuss one of the main problems in Computer Visio
n: how to reconstruct a three-dimensional shape starting from an apparent
contour\, namely from a suitable graph with cusps and transversal crossing
s\, lying on a projection plane. We shall discuss some related topological
problems and\, if possible\, the role of the program Appcontour.\n\n//ind
ico.ictp.it/event/8754/
LOCATION:ICTP Luigi Stasi Room
URL://indico.ictp.it/event/8754/
END:VEVENT
BEGIN:VEVENT
SUMMARY:BASIC NOTIONS SEMINAR: Blet\, a mathematical puzzle
DTSTART;VALUE=DATE-TIME:20181204T150000Z
DTEND;VALUE=DATE-TIME:20181204T160000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-8791@ictp.it
DESCRIPTION:Abstract: \n In this talk we will discuss the puzzle Blet. Its
simple appearence hides some interesting mathematics involving the geomet
ry of certain lattice paths in the plane and the group SL(2\,R). It is als
o a nice illustration of a typical discrete minimization problem where gre
ed is not the answer.\n\n//indico.ictp.it/event/8791/
LOCATION:ICTP Leonardo Building - Budinich Lecture Hall
URL://indico.ictp.it/event/8791/
END:VEVENT
BEGIN:VEVENT
SUMMARY:BASIC NOTIONS SEMINAR: Orientations in the plane as quantum state
s
DTSTART;VALUE=DATE-TIME:20210930T140000Z
DTEND;VALUE=DATE-TIME:20210930T150000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-9713@ictp.it
DESCRIPTION:Register in advance for this meeting:https://zoom.us/meeting/r
egister/tJUkceioqzMpGNGCvH1IR8UNevYyLmFQK82A\nAfter registering\, you will
receive a confirmation email containing information about joining the mee
ting.\n\n Abstract: I will introduce and discuss some of the most basic
fundamental concepts of quantum physics by using orientations or angles
in the plane\, illustrated through linear polarisations of the light. \n
Starting with the Euclidean plane\, which is certainly a paradigmatic exam
ple of a Hilbert space\, the orientations in the plane are identified wi
th the pure states. Associating these quantum orientations with linear p
olarisations of light in the plane normal to its propagation constitutes a
n immediate and nice illustration of the presented formalism. Another
contribution concerns the description of the dynamics of quantum states. T
he pure states form the unit circle (actually a half of it) and the mixed
states form the unit disk (actually a half of it). Rotations in the plane
rule time evolution through Majorana-like equations involving only real
quantities for closed (Heisenberg-Dirac) and open (Lindblad) systems. In
teresting probabilistic aspects are developed. Finally\, I revisit lig
ht linear polarisation as an example of quantum measurement through Stok
es parameters. \n \nReferences:\n \nH. Bergeron\, E. M. F. Curado\, \,
L. M. C. S. Rodrigues\,\nBrazilian Journal of Physics\, 49\, 391-401
(2019)\n \nR. Beneduci\, E. Frion\, J.-P. G.\, A. Perri\,\nReal POVMS on
the plane: integral quantization\, Naimark theorem and linear polarization
of the light\,\narXiv:2108.04086v1 [quant-ph] (submitted)\n\n//indico.ict
p.it/event/9713/
LOCATION:Online/Presence
URL://indico.ictp.it/event/9713/
END:VEVENT
BEGIN:VEVENT
SUMMARY:BASIC NOTIONS SEMINAR: What is a moduli space?
DTSTART;VALUE=DATE-TIME:20221209T150000Z
DTEND;VALUE=DATE-TIME:20221209T160000Z
DTSTAMP;VALUE=DATE-TIME:20230530T175153Z
UID:indico-event-10134@ictp.it
DESCRIPTION:\n Register in advance for this meeting:https://zoom.us/meetin
g/register/tJ0od-ihrTIjH9F3K0rVN45vAwYwC2diqLtL\n After registering\, you
will receive a confirmation email containing information about joining the
meeting.Abstract: Given a certain set of mathematical objects\, a guiding
question is often the classification problem. In algebraic geometry\, the
objects that you would like to classify have usually some geometry intere
sts\, like for instance manifolds\, vector bundles\, algebraic curves. The
attempt to reach a meaningful classification often leads to the construct
ion of a moduli space: a parameter space whose points correspond to all th
e objects you would like to study. In the talk\, I will give a very gentle
introduction to the notion of parameter space focusing on elementary exam
ples. If time permits\, at the end I will give some hints towards more com
plicated but also more interesting examples.\n\n//indico.ictp.it/event/101
34/
LOCATION:hybrid seminar Leonardo Building - Luigi Stasi Seminar Room
URL://indico.ictp.it/event/10134/
END:VEVENT
END:VCALENDAR