# The Affine Hecke Algebra at Roots of Unity

*Algebra/Geometry/Topology Seminar*

*by Matt Davis*

*Institution:*Wisconsin

*Date: Mon 17th August 2009*

*Time: 2:15 PM*

*Location: Cuming Theatre, Chemistry*

*Abstract*: The affine Hecke algebra \tilde{H} is closely related to the group algebra of an affine Weyl group, and its representations are closely related to the representations of p-adic Lie groups. The representation theory of \tilde{H} is uniform for most values of its parameter q. If q is a root of unity of small order, however, the representation theory changes. In this talk, we will discuss combinatorial and geometric classifications of \tilde{H} modules and how they change when q is a root of unity.

*For More Information:* craigw@ms.unimelb.edu.au