University of Sydney Algebra Seminar

Stewart Wilcox (Harvard University)

Friday 25th June, 12.05-12.55pm, Carslaw 175

Representations of rational Cherednik algebras

The rational Cherednik algebra was introduced by Etingof and Ginzburg as a degeneration of Cherednik's ``double affine Hecke algebra". It may also be viewed as a universal deformation of an algebra of differential operators, and the type A rational Cherednik algebra is closely related to the Calogero-Moser space.

In this talk, after briefly introducing the algebra along the above lines, I will discuss results concerning the support sets of its representations, especially in the type A case.