Mathematics Department Colloquium
Spring 2005

Date: Thursday, April 7
Time: 4:00 p.m.
Location: 215 Thomas Building
Name: Raphael Rouquier
Affiliation: CNRS, Paris and Yale University
Title: Dunkl operators and Hecke algebras

Abstract: We introduce deformed differential operators on an affine space. Their action on polynomials can be understood via the representation theory of Cherednik algebras. This is in turn related to Hecke algebras, via monodromy representations. On the combinatorial side, this involves canonical bases of Fock spaces. There are algebraic descriptions involving quantum groups. This relates also to Hilbert schemes of points on the complex plane.