TMS Distinguished Colloquium Series


Turkish Math Society proudly presents a monthly Distinguished Colloquium Series in pure and applied mathematics. With the wide usage of online talks in the post-pandemic era, we aim to host renowned mathematicians from all over the world to promote the latest developments in their fields.


Talk 1 – Jordan Ellenberg – U. Wisconsin

Date : 15 / 09 / 2021 Wednesday, 18h00 (GMT+3)

Title : Upper Bounds for Rational Points

Abstract : The question “what are the solutions in rational numbers to an algebraic equation?” is the one that drives the subject of Diophantine geometry, and has for centuries.  It is much, much too hard.  So instead one might ask:  “how many solutions does an algebraic equation have?”  Still too hard.  One might thus be willing to settle for “Are there good upper bounds for the number of solutions an algebraic equation have?” and here at last there are some good general results.  I’ll talk about what is known, with special attention to the distinction between uniform results (those with no dependence, or minimal dependence, on the particular equation at issue) and non-uniform results (which depend strongly on the arithmetic properties of the individual equation), and will close with a new result (joint with Brian Lawrence and Akshay Venkatesh) showing that there are in a sense “very few” hypersurfaces in projective space whose determinant takes a fixed integer value — a non-uniform bound which uses in a critical way the existence of uniform bounds developed in the last twenty years.

Connection info : https://boun-edu-tr.zoom.us/j/96913066262

Poster


Talk 2 – Rahul Pandharipande – ETH Zurich

Date : 13 / 10 / 2021 Wednesday, 18h00 (GMT +3)

Title : Algebraic curves, Hurwitz covers and meromorphic differentials

Abstract : Hurwitz’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 been many recent developments in the subject that Hurwitz opened. I will explain new results and perspectives on Hurwitz numbers, Hurwitz moduli spaces, and related constructions concerning meromorphic differentials.

Connection info : https://boun-edu-tr.zoom.us/j/97752694799?pwd=SWNaa1A3YnhRcDRPbldhZU9PdWFvQT09
Meeting ID: 977 5269 4799
Passcode: 895663

Poster


Talk 3 – Nizar Touzi – Ecole Polytechnique

Date : 10 / 11 / 2021 Wednesday, 19h00 (GMT +3)

Title : The propagation of chaos for the multiple optimal stopping problem

Abstract : The optimal stopping problem of $N$ particles deriven by interacting diffusion processes can be characterized by a cascade of obstacle Cauchy problems. The limiting problem is an optimal stopping problem of a McKean-Vlasov diffusion with criterion defined as a function of the law of the stopped process. The corresponding dynamic programming equation is an obstacle problem on the Wasserstein space, and is obtained by means of a general Itô formula for flows of marginal laws of càdlàg semimartingales. We provide a verification result which characterizes the nature of optimal stopping policies, highlighting the crucial need to randomized stopping. We also introduce a notion of viscosity solutions on the Wassertsein space which allows to characterize the value function, and we prove a result of propagation of chaos by adapting the monotone scheme convergence argument.

Connection info : https://boun-edu-tr.zoom.us/j/97752694799?pwd=SWNaa1A3YnhRcDRPbldhZU9PdWFvQT09

Meeting ID: 977 5269 4799
Passcode: 895663

Poster


Talk 4 – Wilhelm Schlag – Yale

Date : 15 / 12 / 2021 Wednesday, 19h00 (GMT +3)

Title : Asymptotic stability for the sine-Gordon kink under odd perturbations via super-symmetry

Abstract : Kinks are examples of topological solitons in classical field theory. They have been studied for decades, mostly by methods of complete integrability such as the inverse scattering transform. One of the most basic models, known as phi^4, is not accessible to these techniques and much less is known even about the most basic object of nonzero charge: the kink in one spatial dimension.  I will describe the recent asymptotic analysis with Jonas Luehrmann (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. The talk will present some background on classical fields and the history of the problem.

Connection infohttps://boun-edu-tr.zoom.us/j/97752694799?pwd=SWNaa1A3YnhRcDRPbldhZU9PdWFvQT09

Meeting ID: 977 5269 4799
Passcode: 895663


Talk 5 – Steph Van Willigenburg – UBC

Date : 12 / 01 / 2022 Wednesday, 19h00 (GMT +3)

Title : to be announced

Abstract : to be announced

Connection info : to be announced


Talk 6 – Joel Tropp – CalTech

Date : 09 / 02 / 2022 Wednesday, 19h00 (GMT +3)

Title : to be announced

Abstract : to be announced

Connection info : to be announced


Talk 7 – Alessio Figalli – ETH Zurich

Date : 09 / 03 / 2022 Wednesday, 19h00 (GMT +3)

Title : to be announced

Abstract : to be announced

Connection info : to be announced