PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Kazhdan-Lusztig parameters and extended quotients
Seminar:Algebra and Number Theory Seminar
Speaker:Roger Plymen, University of Manchester
Abstract:
The Kazhdan-Lusztig triples $(s,u,\rho)$ parametrize irreducible representations of affine Hecke algebras (and certain irreducible representations of p-adic groups). The third term in the triple, namely $\rho$, is hard to compute. We show that the collection of all such triples has an unexpected geometric structure, namely an extended quotient, which is easy to compute. Each affine Hecke algebra contains a parameter q . We will delve into the role of this q , and see what happens when q = 1. The Springer correspondence (for irreducible representations of finite Weyl groups) plays a major role. This will be a non-technical talk. Joint work with Anne-Marie Aubert and Paul Baum.

Room Reservation Information

Room Number:MB106
Date:10 / 07 / 2010
Time:11:15am - 12:05pm