Speaker : Aranya Lahiri
Title: Dagger groups and p-adic distribution algebras
Date, Time, Venue : 31st July (Wednesday) at 11:30 in room 215
Note that the lecture is of 90 minutes duration.
Abstract: p-adic representations of p-adic groups became central objects of
investigation especially in view of the somewhat recent p-adic Langlands
program. In this talk, I will explore how investigating the topological
irreducibility of specific p-adic principal series representations
naturally directed us to examine dagger groups linked to `*p**-saturated
groups'.* Additionally, I will discuss the curious concept of 'strict
neighborhood groups' of these p-saturated groups. Finally, I will conclude
by introducing the concept of p-adic overconvergent distribution algebras,
and arguing why they may be a more suitable candidate than their rigid
analytic counterparts for addressing certain issues in p-adic
representation theory. This is joint work with Claus Sorensen and Matthias
Strauch.