22 November 2012

14:00

Dr Oleg Chalykh

Abstract

To any complex smooth variety Y with an action of a finite group G, Etingof associates a global Cherednik algebra. The usual rational Cherednik algebra corresponds to the case of Y= C^n and a finite Coxeter group G < GL_n. I will consider the special case of Etingof's definition when Y=X^n, with X a smooth algebraic curve, and G is the symmetric group S_n acting naturally on Y. I will explain how this algebra is related to the deformed preprojective algebras of Crawley-Boevey, how this leads to its representation by generators and relations, and will relate two exisitng definitions of Calogero-Moser spaces in this case.