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.