BIMSA > Integrable systems blackboard seminar Integrable systems blackboard seminar Superintegrability, spin Toda chains and N-point spherical Whittaker functions
Superintegrability, spin Toda chains and N-point spherical Whittaker functions
Organizers
Andrii Liashyk , Nicolai Reshetikhin , Ruijie Xu
Speaker
Haoyi Li
Time
Monday, October 26, 2026 3:30 PM - 4:30 PM
Venue
A7-201
Abstract
In this talk, we will discuss the concept of superintegrability and how to construct examples using (linearized) moduli spaces of connections on Riemann surfaces and Hamiltonian reductions. In particular, we will present a construction of a spin version of the open Toda system via the Iwasawa decomposition of a split real group. We also construct an N-point generalization, which yields spin Toda chains, and derive the corresponding asymptotic boundary KZB-type equations.