Representation Theory Seminar: Spectral duality for Gaudin systems associated with reflection equation

Speaker: Ivan Sechin (BIMSA)

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 (given by the equation Γ(z,w) = 0) are related via the 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 the orthogonal Lie algebra, while the second one is constructed from the reflection equation for the general linear Lie algebra. Based on the joint work with Andrii Liashyk and Mikhail Vasilev.

Time: 2025-09-23 16:15:00

Location: R1010, SIMIS