BIMSA

Integrability of Discrete Systems

An introductory course on the notion of integrability of discrete dynamical systems. Topics include: difference and q-difference equations, integrable lattice equations, Bäcklund and Darboux transformations, Yang-Baxter maps, multidimensional consistency, Hirota bilinear equations, QRT maps, and discrete Painlevé equations.

讲师

安东·贾马伊

日期

2026年03月03日至 06月23日

位置

Weekday	Time	Venue	Online	ID	Password
周二,周四	13:30 - 15:05	A3-1a-204	ZOOM 12	815 762 8413	BIMSA

修课要求

Basic knowledge of linear algebra, ordinary and partial differential equations, elements of the theory of special functions.

参考资料

[1] J. Hietarinta, N. Joshi, and F. W. Nijhoff Discrete Systems and Integrability, Cambridge Texts in Applied Mathematics (2016)
[2] Yu. B. Suris The Problem of Integrable Discretization: Hamiltonian Approach, Progress in Mathematics (vol. 219), Birkhäuser (2003)
[3] V.E. Adler, A.I. Bobenko, Yu.B.Suris Classification of Integrable Equations on Quad-Graphs. The Consistency Approach, Commun. Math. Phys. 233, 513–543 (2003)

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.