Representations of p-adic groups

Arithmétique

Lieu: 
Salle Kampé de Fériet
Orateur: 
Jessica Fintzen
Affiliation: 
University of Cambridge
Dates: 
Jeudi, 31 Janvier, 2019 - 11:00 - 12:00
Résumé: 

In the 1990s Moy and Prasad revolutionized the representation theory of p-adic groups by showing how to use Bruhat-Tits theory to assign invariants to representations of p-adic groups. 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.