Speaker: Anton Dzhamay (BIMSA)

Time: 17:00-17:45, 2024-12-02

Venue: A6-1

Zoom: 388 528 9728

Password: BIMSA

Abstract

Many interesting examples of integrable systems can be studied from the geometric point of view. One such recent example is a class of non-autonomous discrete dynamical systems known as discrete Painlevé equations whose role in a wide range of problems in mathematical physics has been steadily growing over the last 20 years. In my talk I will explain how we can obtain discrete Painlevé equations by deautonomizing another remarkable discrete integrable system known as a QRT map, and how that step leads to appearances of affine Weyl groups and their birational representations, which is what discrete Painlevé equations really are.

Speaker Intro

Anton Dzhamay received his undergraduate education in Moscow where he graduated from the Moscow Institute of Electronics and Mathematics (MIEM) in 1993. He got his PhD from Columbia University under the direction of Professor Igor Krichever in 2000. After having postdoc and visiting positions at the University of Michigan and Columbia University, and then a tenure at the University of Northern Colorado, Anton moved to BIMSA in 2023, first as a Visiting Professor, and then as as full-time faculty in Summer 2024 . His research interests are focused on the application of algebro-geometric techniques to integrable systems. Most recently he has been working on discrete integrable systems, Painlevé equations, and applications.

Member Seminar Intro

The BIMSA member seminar is a weekly event during which researchers engage in discussions about their extensive research interests, addressing a diverse audience that includes fellow researchers and all postdoctoral scholars within the institute. This forum provides a unique privilege and an invaluable opportunity for each research faculty member, serving as a speaker, to introduce their research field, promote the subject within the institute, and ignite the potential for future collaborations with other research groups within the institute.

The lecture format consists of a 30-minute colloquium-style presentation, thoughtfully tailored to be accessible to postdoctoral scholars and researchers from diverse disciplines within the institute. Following the presentation, a 15-minute discussion session is anticipated, involving active participation from postdocs representing various fields.

It is mandatory for all postdocs at the institute to actively participate in this event. The enthusiastic involvement of faculty members is greatly valued and will prove mutually beneficial for both the speaker and the junior audience.

Organizers

Yuval Peres

Professor

Probability Theory

Artan Sheshmani

Professor

Algebraic Geometry

Hossein Yavartanoo

Professor

Mathematical Physics