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BEGIN:VEVENT
SUMMARY:Jordan Ellenberg (U. Wisconsin - Madison)
DTSTART:20210915T150000Z
DTEND:20210915T160000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/1/">Upper Bounds for Rational Points</a>\nby Jordan Ellenberg (U.
  Wisconsin - Madison) as part of Turkish Math Society - Distinguished Coll
 oquium Series\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rahul Pandharipande (ETH Zurich)
DTSTART:20211013T150000Z
DTEND:20211013T160000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/2/">Algebraic curves\, Hurwitz covers and meromorphic differentia
 ls</a>\nby Rahul Pandharipande (ETH Zurich) as part of Turkish Math Societ
 y - Distinguished Colloquium Series\n\n\nAbstract\nHurwitz's paper ''Ueber
  die Anzahl der Riemannischen Flächen mit gegebenen Verzweigungspunkten''
  (1901) started the study of the enumeration of branched coverings of the 
 Riemann sphere. Though more than a century has passed now\, there have bee
 n many recent developments in the subject that Hurwitz opened. I will expl
 ain new results and perspectives on Hurwitz numbers\, Hurwitz moduli space
 s\, and related constructions concerning meromorphic differentials.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wilhelm Schlag (Yale)
DTSTART:20211215T160000Z
DTEND:20211215T170000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/3/">Asymptotic stability for the sine-Gordon kink under odd pertu
 rbations via super-symmetry</a>\nby Wilhelm Schlag (Yale) as part of Turki
 sh Math Society - Distinguished Colloquium Series\n\n\nAbstract\nKinks are
  examples of topological solitons in classical field theory. They have bee
 n studied for decades\, mostly by methods of complete integrability such a
 s the inverse scattering transform. One of the most basic models\, known a
 s phi^4\, is not accessible to these techniques and much less is known eve
 n about the most basic object of nonzero charge: the kink in one spatial d
 imension.  I will describe the recent asymptotic analysis with Jonas Luehr
 mann (TAMU) of the sine-Gordon evolution of odd data near the kink. While 
 sine-Gordon is completely integrable\, we do not rely on this property. Th
 e talk will present some background on classical fields and the history of
  the problem.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nizar Touzi (Ecole Polytechnique)
DTSTART:20211110T160000Z
DTEND:20211110T170000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/4/">The propagation of chaos for the multiple optimal stopping pr
 oblem</a>\nby Nizar Touzi (Ecole Polytechnique) as part of Turkish Math So
 ciety - Distinguished Colloquium Series\n\n\nAbstract\nThe optimal stoppin
 g problem of $N$ particles deriven by interacting diffusion processes can 
 be characterized by a cascade of obstacle Cauchy problems. The limiting pr
 oblem is an optimal stopping problem of a McKean-Vlasov diffusion with cri
 terion defined as a function of the law of the stopped process. The corres
 ponding dynamic programming equation is an obstacle problem on the Wassers
 tein space\, and is obtained by means of a general Itô formula for flows 
 of marginal laws of càdlàg semimartingales. We provide a verification re
 sult which characterizes the nature of optimal stopping policies\, highlig
 hting the crucial need to randomized stopping. We also introduce a notion 
 of viscosity solutions on the Wassertsein space which allows to characteri
 ze the value function\, and we prove a result of propagation of chaos by a
 dapting the monotone scheme convergence argument.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steph Van Willigenburg (UBC)
DTSTART:20220112T160000Z
DTEND:20220112T170000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/5/">The (3+1)-free conjecture of chromatic symmetric functions</a
 >\nby Steph Van Willigenburg (UBC) as part of Turkish Math Society - Disti
 nguished Colloquium Series\n\n\nAbstract\nThe chromatic symmetric function
 \, dating from 1995\, is a generalization of the chromatic polynomial. A f
 amed conjecture on it\, called the Stanley-Stembridge (3+1)-free conjectur
 e\, has been the focus of much research lately. In this talk we will be in
 troduced to the chromatic symmetric function\, the (3+1)-free conjecture\,
  new cases and tools for resolving it\, and answer another question of Sta
 nley of whether the (3+1)-free conjecture can be widened. This talk requir
 es no prior knowledge.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joel Tropp (Caltech)
DTSTART:20220209T170000Z
DTEND:20220209T180000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/6
DESCRIPTION:by Joel Tropp (Caltech) as part of Turkish Math Society - Dist
 inguished Colloquium Series\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessio Figalli (ETH Zurich)
DTSTART:20220323T150000Z
DTEND:20220323T160000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/7/">Quantitative Stability in Geometric and Functional Inequaliti
 es</a>\nby Alessio Figalli (ETH Zurich) as part of Turkish Math Society - 
 Distinguished Colloquium Series\n\n\nAbstract\nGeometric and functional in
 equalities play a crucial role in several problems arising in analysis and
  geometry. Proving the validity of such inequalities\, and understanding t
 he structure of minimizers\, is a classical and important question. In thi
 s talk\, I will overview this beautiful topic and discuss some recent resu
 lts.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amie Wilkinson (U. Chicago)
DTSTART:20220615T150000Z
DTEND:20220615T160000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/9/">Asymmetry in dynamics</a>\nby Amie Wilkinson (U. Chicago) as 
 part of Turkish Math Society - Distinguished Colloquium Series\n\n\nAbstra
 ct\nThe origins of the subject of dynamical systems lie in classical mecha
 nics\, in the study of such fundamental problems as the stability of the s
 olar system.  A theme that traces back to Noether's theorem is that symmet
 ries in such physical systems must occur for a reason: for example\, if th
 e motion of a system does not depend on position in space\, then there mus
 t be a conserved quantity\, such as angular momentum.   I will discuss\, i
 n the broader contexts of modern dynamics\, how this theme expands and reo
 ccurs in beautiful ways: on the one hand\, a typical object has the minimu
 m amount of symmetry possible\, and on the other hand\, a little extra sym
 metry implies a lot of symmetry\, a phenomenon known as rigidity.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Karen Uhlenbeck (UT Austin)
DTSTART:20220518T150000Z
DTEND:20220518T160000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/10
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/10/">The Noether Theorems\, Then and Now</a>\nby Karen Uhlenbeck 
 (UT Austin) as part of Turkish Math Society - Distinguished Colloquium Ser
 ies\n\n\nAbstract\nNew link:\nhttps://boun-edu-tr.zoom.us/j/91793428382?pw
 d=U0l2SzJmY2dvYUg2MDlPLyt1eDBQQT09\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mete Soner (Princeton University)
DTSTART:20220920T160000Z
DTEND:20220920T170000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/11
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/11/">Optimal Control</a>\nby Mete Soner (Princeton University) as
  part of Turkish Math Society - Distinguished Colloquium Series\n\n\nAbstr
 act\nStarting with the moon-landing problem\, the mathematical theory of  
 optimal control has been fully developed and found numerous applications n
 ot only in engineering but also in many subfields of social sciences. In p
 articular\, in economics and quantitative finance\, stochastic optimal con
 trol has become a  central modeling tool\, and is the starting point for m
 any modern learning algorithms.  The unifying paradigm is decisions under 
 uncertainty and one imagines that a rational decision maker is guided by a
 n appropriate control problem.  In this talk\, after describing the struct
 ure of the general problem\, I will outline the powerful solution techniqu
 e based on dynamic programming.  Several applications such as the Kalman f
 ilter used in automated machines\,  Merton’s problem for optimal investm
 ent decisions and the Ellsberg experiment for uncertainty will also be dis
 cussed.  I will conclude with the new developments and the questions.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bjorn Poonen (MIT)
DTSTART:20221018T133000Z
DTEND:20221018T143000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/12
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/12/">Undecidability in number theory</a>\nby Bjorn Poonen (MIT) a
 s part of Turkish Math Society - Distinguished Colloquium Series\n\n\nAbst
 ract\nHilbert's tenth problem asked for an algorithm that\, given a multiv
 ariable polynomial equation with integer coefficients\, would decide wheth
 er there exists a solution in integers.  Around 1970\,\nMatiyasevich\, bui
 lding on earlier work of Davis\, Putnam\, and Robinson\, showed that no su
 ch algorithm exists.  But the answer to the analogous question with intege
 rs replaced by rational numbers is still unknown\, and there is not even a
 greement among experts as to what the answer should be.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Isabel Vogt (Brown U.)
DTSTART:20221115T150000Z
DTEND:20221115T160000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/13
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/13/">Interpolation problems for curves</a>\nby Isabel Vogt (Brown
  U.) as part of Turkish Math Society - Distinguished Colloquium Series\n\n
 \nAbstract\nThe interpolation problem is one of the oldest in mathematics.
   In its most broad form it asks: when can a curve of a given type be pass
 ed through a given number of points?  I'll survey work on the interpolatio
 n problem from Euclid to the modern day\, ending with recent joint work of
  mine with Eric Larson.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Chudnovsky (Princeton U.)
DTSTART:20221220T160000Z
DTEND:20221220T170000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/14
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/14/">Induced Subgraphs and Tree Decompositions</a>\nby Maria Chud
 novsky (Princeton U.) as part of Turkish Math Society - Distinguished Coll
 oquium Series\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Larry Guth (MIT)
DTSTART:20230120T160000Z
DTEND:20230120T170000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/15
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/15/">Introduction to decoupling in Fourier analysis</a>\nby Larry
  Guth (MIT) as part of Turkish Math Society - Distinguished Colloquium Ser
 ies\n\n\nAbstract\nDecoupling is a recent development in Fourier analysis 
 which has led to solutions of a number of longstanding problems in harmoni
 c analysis\, PDE\, and analytic number theory.  In this talk\, we will try
  to give a broad introduction to the subject.  We'll start by describing a
 n old problem from analytic number theory which has been solved using deco
 upling.  Then we will describe some of the tools of the proof.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ingrid Daubechies (Duke)
DTSTART:20230209T160000Z
DTEND:20230209T170000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/16
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/16/">Postponed due to Earthquake</a>\nby Ingrid Daubechies (Duke)
  as part of Turkish Math Society - Distinguished Colloquium Series\n\n\nAb
 stract\nPostponed due to earthquake in Turkey. We will announce the new ti
 me soon.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mihalis Dafermos (Princeton)
DTSTART:20230314T150000Z
DTEND:20230314T160000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/17
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/17/">The mathematics of black holes in general relativity</a>\nby
  Mihalis Dafermos (Princeton) as part of Turkish Math Society - Distinguis
 hed Colloquium Series\n\n\nAbstract\nI will discuss some of the main mathe
 matical problems surrounding black holes in general relativity\, including
  issues of their stability and the structure of the spacetime singularitie
 s which they hide inside.  No previous familiarity with general relativity
  will be assumed.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kathryn Hess (EPFL)
DTSTART:20230419T140000Z
DTEND:20230419T150000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/18
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/18/">A Topologist’s Adventures in Neuroscience</a>\nby Kathryn 
 Hess (EPFL) as part of Turkish Math Society - Distinguished Colloquium Ser
 ies\n\n\nAbstract\nOver the past several years\, research at the interface
  of topology and neuroscience has grown remarkably fast. Topology has\, fo
 r example\, been successfully applied to objective classification of neuro
 n morphologies and to automatic detection of network dynamics. In this tal
 k I will focus primarily on the algebraic topology of brain structure and 
 function\, describing results obtained by members of my lab in collaborati
 on with the Blue Brain Project on digitally reconstructed microcircuits of
  neurons in the rat cortex. I will also describe our on-going work on the 
 topology of synaptic plasticity. The talk will include a brief overview of
  the Blue Brain Project.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ciprian Maneloscu (Stanford)
DTSTART:20230511T170000Z
DTEND:20230511T180000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/19
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/19/">Khovanov homology and four-dimensional topology</a>\nby Cipr
 ian Maneloscu (Stanford) as part of Turkish Math Society - Distinguished C
 olloquium Series\n\n\nAbstract\nOver the last forty years\, most progress 
 in four-dimensional topology came from gauge theory and related invariants
 . Khovanov homology is an invariant of knots in R^3 of a different kind: i
 ts construction is combinatorial\, and connected to ideas from representat
 ion theory. There is hope that it can tell us more about smooth 4-manifold
 s\; for example\, Freedman\, Gompf\, Morrison and Walker suggested a strat
 egy to disprove the 4D Poincare conjecture using Rasmussen’s invariant f
 rom Khovanov homology. It is yet unclear whether their strategy can work. 
 I will explain a new attempt to pursue it (joint work with Lisa Piccirillo
 ) and some of the challenges we encountered. I will also review other topo
 logical applications of Khovanov homology.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yiannis Sakellaridis (Johns Hopkins U.)
DTSTART:20230913T130000Z
DTEND:20230913T140000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/20
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/20/">Perspectives on automorphic L-functions</a>\nby Yiannis Sake
 llaridis (Johns Hopkins U.) as part of Turkish Math Society - Distinguishe
 d Colloquium Series\n\n\nAbstract\nL-functions\, which are generalizations
  of the Riemann zeta function\, play a role in some of the deepest conject
 ures in mathematics. A huge step in their understanding was undertaken in 
 the late '60s and '70s by Robert Langlands\, who gave a general definition
  of automorphic L-functions\, and conjectured that they contain all the L-
 functions arising from Galois theory and arithmetic geometry. Still\, the 
 true nature of these complex-analytic functions which contain crucial arit
 hmetic information remained a mystery.\n\nIn this talk\, I will review var
 ious incarnations of L-functions associated to number fields or function f
 ields\, premised on 2 paradigms: On one hand\, the cohomological interpret
 ation of the zeta functions of varieties over finite fields ("the Galois s
 ide")\, and\, on the other\, Riemann's interpretation of the zeta function
  as a Mellin transform of a theta series ("the automorphic side"). I will 
 then sketch a correspondence between the two paradigms\, based on joint wo
 rk with David Ben-Zvi and Akshay Venkatesh\, based on a conjectural dualit
 y between Hamiltonian spaces\, with ramifications that extend into mathema
 tical physics.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ingrid Daubechies (Duke U.)
DTSTART:20231206T150000Z
DTEND:20231206T160000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/21
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/21/">Old-fashioned Machine Learning: Using Diffusion Methods to L
 earn Underlying Structure</a>\nby Ingrid Daubechies (Duke U.) as part of T
 urkish Math Society - Distinguished Colloquium Series\n\n\nAbstract\nMany 
 datasets consist of complex items that can be reasonably surmised to lie o
 n a manifold of much lower dimension than the number of parameters or coor
 dinates with which the individual items are acquired. \n\nManifold diffusi
 on is an established method\, used successfully to parametrize such datase
 ts much more succinctly. The talk describes an enhancement of this method:
  when each individual item is itself a complex object\, as is the case in 
 many applications\, one can model the collection as a fiber bundle\, and b
 uild a fiber bundle diffusion operator from which one can gradually learn 
 properties of the underlying base manifold. This will be illustrated with 
 applications to morphological evolutionary studies in biology.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tobias Colding (MIT)
DTSTART:20231115T140000Z
DTEND:20231115T150000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/22
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/22/">Geometry of PDEs</a>\nby Tobias Colding (MIT) as part of Tur
 kish Math Society - Distinguished Colloquium Series\n\n\nAbstract\nOptimal
  geometric structures and the evolution of shapes are governed by partial 
 differential equations. These same types of equations come up over and ove
 r again across many diverse areas in science\, engineering\, and mathemati
 cs. The geometric invariance makes the equations canonical and means that 
 they also describe phenomena seemingly unrelated to geometry. Often the ge
 ometry unlocks the structure of the equation and leads to fundamental tool
 s in PDE. Conversely\, analysis has played a central role in the developme
 nt of geometry. Understanding the equations and their fundamental properti
 es requires simultaneous insight into both analysis and geometry and the i
 nterplay between the two. \n\nIn this talk\, we will discuss this principl
 e for several fundamental equations. We start by seeing how a long-standin
 g problem in geometry leads to optimal regularity for viscosity solutions 
 of a degenerate elliptic PDE\, then turn to using PDE to understand optima
 l shapes and geometric evolution.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brendan Hassett (Brown U.)
DTSTART:20231018T130000Z
DTEND:20231018T140000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/23
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/23/">Rationality criteria for hypersurfaces</a>\nby Brendan Hasse
 tt (Brown U.) as part of Turkish Math Society - Distinguished Colloquium S
 eries\n\n\nAbstract\nAn algebraic variety is rational if it admits a birat
 ional parametrization by affine space. Stereographic projections of sphere
 s are examples. We still do not know which cubic hypersurfaces are rationa
 l! We survey recent results - using classical geometry\, Hodge theory\, an
 d newer techniques like derived categories -  as well as natural open ques
 tions.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Edriss Titi (U. Cambridge - Texas A&M)
DTSTART:20240208T140000Z
DTEND:20240208T150000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/24
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/24/">Recent Advances Concerning the Navier-Stokes and Euler Equat
 ions</a>\nby Edriss Titi (U. Cambridge - Texas A&M) as part of Turkish Mat
 h Society - Distinguished Colloquium Series\n\n\nAbstract\nIn this talk\, 
 I will discuss some recent progress concerning the Navier-Stokes and Euler
  equations of incompressible fluid. In particular\, issues concerning the 
 lack of uniqueness using the convex integration machinery and their physic
 al relevance. Moreover\, I will show the universality of the critical 1/3 
 Hölder exponent\, conjectured by Onsager for the preservation of energy i
 n Euler equations\, by extending the Onsager conjecture for the preservati
 on of generalized entropy in general conservation laws.  In addition\, I w
 ill present a blow-up criterion for the 3D Euler equations based on a clas
 s of inviscid regularization for these equations and the effect of physica
 l boundaries on the potential formation of singularity.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Caraiani (Imperial College)
DTSTART:20240312T130000Z
DTEND:20240312T140000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/25
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/25/">Elliptic curves and modularity</a>\nby Ana Caraiani (Imperia
 l College) as part of Turkish Math Society - Distinguished Colloquium Seri
 es\n\n\nAbstract\nThe goal of this talk is to give you a glimpse of the La
 nglands program\, a central topic at the intersection of algebraic number 
 theory\, algebraic geometry and representation theory. I will focus on a c
 elebrated instance of the Langlands correspondence\, namely the modularity
  of elliptic curves. In the first part of the talk\, I will give an explic
 it example\, discuss the different meanings of modularity for rational ell
 iptic curves\, and mention applications. In the second part of the talk\, 
 I will discuss what is known about the modularity of elliptic curves over 
 more general number fields.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nassif Ghoussoub (UBC)
DTSTART:20240409T150000Z
DTEND:20240409T160000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/26
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/26/">Mass transport\, Kantorovich operators and their ergodic pro
 perties</a>\nby Nassif Ghoussoub (UBC) as part of Turkish Math Society - D
 istinguished Colloquium Series\n\n\nAbstract\nThe notion of a non-linear K
 antorovich operator was motivated by the celebrated duality in the mass tr
 ansport problem\, hence the name. In retrospect\, we realized that they -a
 nd their iterates- were omnipresent in several branches of analysis\, even
  those that are focused on linear Markov operators and their semi-groups s
 uch as classical ergodic theory\, potential theory\, and probability theor
 y. The Kantorovich operators that appear in these cases\, though non-linea
 r\, are all positively 1-homogenous rendering most classical operations on
  measures and functions conducted in these theories ``cost-free”. Genera
 l Kantorovich operators arise when one assigns "a cost" to such operations
 .  \n\nKantorovich operators are also Choquet capacities and are the ``lea
 st non-linear" extensions of Markov operators\, which make them a relative
 ly ``manageable” subclass of non-linear maps. Motivated by the stochasti
 c counterpart of Aubry-Mather theory for Lagrangian systems and Fathi-Math
 er weak KAM theory\, as well as ergodic optimization of dynamical systems\
 , we exhibit the asymptotic properties of general Kantorovich operators.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Judith V. Grabiner (Pitzer College)
DTSTART:20240523T150000Z
DTEND:20240523T160000Z
DTSTAMP:20260404T094534Z
UID:TMScolloquium/27
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/TMSco
 lloquium/27/">Space: Where Sufficient Reason Isn’t Enough</a>\nby Judith
  V. Grabiner (Pitzer College) as part of Turkish Math Society - Distinguis
 hed Colloquium Series\n\n\nAbstract\nEuclid’s Elements is the most influ
 ential textbook in the history of western civilization\, a model\nof reaso
 ning not only in mathematics but in philosophy\, theology\, and politics. 
 But Euclid’s\ngeometry rests on postulates\, one of which didn’t seem 
 self-evident from the start.\nMathematicians kept trying to prove that pos
 tulate\, especially\, as we’ll see\, Lagrange. But\nmeanwhile\, the unch
 allenged authority of the Euclidean ideal was used by people like Newton\,
 \nVoltaire\, Euler\, and Lagrange to support the Enlightenment world-view.
 \n\nIn the nineteenth century\, though\, non-Euclidean geometries challeng
 ed the authority of\nmathematics\, undermined fundamental philosophical an
 d cultural ideas\, and had a hand in the\nbirth of modernism. Challenges c
 ame not only from scientists like Gauss\, Lobachevsky\,\nHelmholtz\, and E
 instein\, but also from artists and philosophers. This story illustrates b
 oth how\nculture helps shape mathematics and how mathematics has shaped th
 e modern world.\n
LOCATION:https://stable.researchseminars.org/talk/TMScolloquium/27/
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