Rational Cherednik algebras and the Calogero-Moser space
Gwyn Bellamy (University of Glasgow)
Tuesday 1st October, 2013 15:00-16:00 Maths 203
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.