Speaker: Radhika Ganapathy
Date: September 04, 2014
Affiliation: University of British Columbia, Canada

Abstract: The Deligne-Kazhdan theory can be loosely stated as follows: <p> The ``complex'' representation theory of Galois groups and split reductive groups over a local field of characteristic $p$ can be viewed as the ``limit'' of the representation theory of these groups over local fields of characteristic 0 with the same residue field, as the ramification index tends to infinity. <p> In this talk, we will begin by briefly reviewing this theory. We will see how this technique, combined with the work of Gan-Takeda on the local Langlands correspondence (LLC) for $GSp(4,F)$ for local fields $F$ of characteristic 0, can be used to prove the LLC for $GSp(4,F')$ for a local function field $F'$ of odd characteristic.