## Representation Theory and Mathematical Physics Seminar: Integrable systems of spin Calogero-Moser type related to symmetric spaces.

Seminar | January 29 | 4-5 p.m. | 748 Evans Hall

Nicolai Reshetikhin, UC Berkeley

Department of Mathematics

The talk will start with a reminder of what is a Hamiltonian integrable system and what degenerate integrability, also know as superintegrability, means. Then examples of such systems on symplectic leaves of Poisson variety $K\backslash T^*G/K$ will be constructed for a Lie group $G$ and a Lie subgroup $K\subset G$. If $G$ is a simple Lie group and $K$ is the subgroup of fixed points of the Chevalley automorphism of $G$, Hamiltonians of such integrable systems will be described explicitly.

artamonov@berkeley.edu