$BC_{\infty}$ Calogero-Moser operator and super Jacobi polynomials.

Sasha Sergeev (Loughborough)

Tuesday 12th February, 2008 15:00-16:00 Mathematics Building, room 516

Abstract

An infinite-dimensional analogue of $BC_n$ Calogero-Moser system is introduced and studied. We show that all non-trivial reductions are given by the standard $BC_n$ Calogero-Moser systems and their deformed versions introduced in our earlier work. The main construction is based on Okounkov's binomial formula for multi-dimensional Jacobi polynomials.