BIMSA >
Integrable systems blackboard seminar
Discrete Painlevé Equations with Constraints and Stabilizers of Simple Roots in Affine Weyl Groups
Discrete Painlevé Equations with Constraints and Stabilizers of Simple Roots in Affine Weyl Groups
Organizers
Speaker
Time
Monday, March 16, 2026 3:30 PM - 4:30 PM
Venue
A7-201
Abstract
An important ingredient in the theory of discrete Painlevé equations with constraints on parameter (such as those corresponding to the existence of nodal curves on Sakai surfaces or arising in projective reductions) is the computation of subgroups of affine Weyl groups that stabilize particular subsets of simple roots. A general theory of how to do that was developed by Brink and Howlett and it can get quite complicated, but for examples related to discrete Painlevé equations it is relatively simple and quite neat. In this talk we consider how to visualize such computations with some applications to dynamics of discrete Painlevé equations with exotic symmetry types not explicitly appearing in the Sakai classification.
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, 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.