Parahoric Subgroups and Supercuspidal Representations of p-Adic groups
| JOINT IAS/PU NUMBER THEORY SEMINAR | |
| Topic: | Parahoric Subgroups and Supercuspidal Representations of p-Adic groups |
| Speaker: | Dick Gross |
| Affiliation: | Harvard University |
| Date: | Thursday, December 9 |
| Time/Room: | 4:30pm - 5:30pm/S-101 |
This is a report on some joint work with Mark Reeder and Jiu-Kang Yu. I will review the theory of parahoric subgroups and consider the induced representation of a one-dimensional character of the pro-unipotent radical. A surprising fact is that this induced representation can (in certain situations) have finite length. I will describe the parahorics and characters for which this occurs, and what the Langlands parameters of the corresponding irreducible summands must be.