Date & Time: Wednesday, October 7, 2015, 16:00-17:00.
Venue: Ramanujan Hall
Speaker: Radhika Ganapathy, TIFR Mumbai
Title: Applications of the Deligne-Kazhdan philosophy to the Langlands correspondence for split classical groups
Abstract: The Deligne-Kazhdan theory loosely says that the complex representation theory of Galois groups and split reductive groups over a local field of characteristic p can be viewed as the limit, as the ramification index tends to infinity, of the representation theory of these groups over local fields of characteristic 0. In this talk, I will explain how this method can be used to prove the local Langlands correspondence for split classical groups over a local field of characteristic p (with some restrictions on the characteristic) using the corresponding result of Arthur in characteristic 0. This is joint work with Sandeep Varma.