Geometry of Discrete Integrable Systems
This course is an introduction to some modern ideas of the geometric approach to two-dimensional discrete integral systems. We primarily focus on two main classes of such systems — the QRT maps that are autonomous discrete systems, and discrete Painlevé equations, that are non-autonomous. Studying these systems nicely ties together tools and techniques from complex algebraic and differential geometry, and the theory of root systems, affine Weyl groups, and their birational representations. These equations have a wide range of modern applications, in particular in integrable systems, theory of orthogonal polynomials, and in integrable probability, as well as more exotic applications, e.g., characterization of some quantum minimal surfaces.
讲师
日期
2026年09月15日 至 2027年01月05日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周二,周四 | 11:00 - 12:30 | Shuangqing | - | - | - |
听众
Advanced Undergraduate
, Graduate
, 博士后
, Researcher
视频公开
公开
笔记公开
公开
语言
英文
讲师介绍
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.