Rational Cherednik algebras and the Calogero-Moser space

Gwyn Bellamy (University of Glasgow)

Tuesday 1st October, 2013 15:00-16:00 Maths 203

Abstract

In this talk I’ll recall the close relationship between the rational Cherednik algebra of type A at t = 0, the Calogero-Moser phase space and  Wilson’s adelic Grassmannian.  In particular, I’ll describe an
intrinsic “factorization” property that each of these three objects possesses. One can show that the
connections between the objects are compatible with this factorization property. As a consequence the representation theory of the rational Cherednik algebra has a natural interpretation in  terms of Schubert cells in the adelic Grassmanninan.

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