Representations of p-adic groups

Number Theory Seminar

Jessica Fintzen (Michigan/Cambridge)

Wednesday, October 31, 2018 -
3:15pm to 4:15pm
119 Physics

In the 1990s Moy and Prasad revolutionized p-adic representation theory by showing how to use Bruhat-Tits theory to assign invariants to p-adic representations. The tools they introduced resulted in rapid advancements in both representation theory and harmonic analysis -- areas of central importance in the Langlands program. A crucial ingredient for many results is an explicit construction of (types for) representations of p-adic groups. In this talk I will indicate why, survey what constructions are known (no knowledge about p-adic groups assumed) and present recent developments based on a refinement of Moy and Prasad's invariants.

Last updated: 2019/07/23 - 10:17pm