Number Theory Seminar
Moshe Adrian
University of Utah
Hecke algebras, simple supercuspidal representations, and the local Langlands correspondence
Abstract: A well known result of Borel says that category of modules over the Iwahori-Hecke algebra of a semisimple p-adic group G describes the Bernstein component associated to the unramified principal series of G. We consider Bernstein components associated to principal series induced from "simple supercuspidal representations", recently discovered by Benedict Gross and Mark Reeder. We define and study Hecke algebras that describe these Bernstein components for symplectic groups. This investigation has direct applications to the local Langlands correspondence and lifting, which we will also discuss.
Monday February 11, 2013 at 3:00 PM in SEO 427