What is a Discrete Painlevé Equation?
演讲者
时间
2024年12月02日 17:00 至 17:45
地点
A6-101
线上
Zoom 388 528 9728
(BIMSA)
摘要
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.
演讲者介绍
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, Anton moved to the University of Northern Colorado, getting tenure in 2011, becoming a Full Professor in 2016, and now transitioning to the Emeritus status in 2025. In 2023–2024 Anton was also a Visiting Professor at BIMSA, he became a permanent BIMSA 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.