The local Langlands correspondence for GL(n) and Jacquet's conjecture on the local converse problem

Date: 
Thursday, November 14, 2013 - 2:00pm
Location: 
MSB110
Speaker: 
Moshe Adrian (University of Utah)

Recently, Gross, Reeder, and Yu have constructed a new family of supercuspidal representations (called epipelagic supercuspidal representations) of p-adic groups, using geometric invariant theory. A natural problem is to describe the local Langlands correspondence for these supercuspidal representations. We give a simple proof and explicit construction of the local Langlands correspondence for epipelagic supercuspidal representations of GL(n) when p does not divide n. As a consequence of our work, we give an application to Jacquet's conjecture on the local converse problem for GL(n). This is joint work with Baiying Liu.