Spectral duality for Gaudin systems with boundary
Organizers
Speaker
Time
Monday, April 14, 2025 3:20 PM - 4:30 PM
Venue
A7-101
Abstract
Two classical integrable systems are called spectrally dual if they are defined on the same phase space (or if there exists a Poisson map between their phase spaces), and the spectral curves of these two systems are connected via a change of coordinates z and w. I will give an elementary proof of the spectral duality of two classical Gaudin models: the first one is associated with orthogonal Lie algebra, while the second one is constructed via reflection equation for general linear Lie algebra.
Speaker Intro
Ivan Sechin has defended a PhD thesis on Mathematical Physics at Skoltech in 2022 and joined BIMSA in 2022. His research interests are mainly devoted to classical and quantum integrable systems.