Speaker: Aranya Lahiri
Affiliation: UCSD
Title: Dagger groups and p-adic distribution algebras
Date and Time: July 25, 2024, 11:30:00 Hours
Venue: AG-77
Asbtract: 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.
Affiliation: UCSD
Title: Dagger groups and p-adic distribution algebras
Date and Time: July 25, 2024, 11:30:00 Hours
Venue: AG-77
Asbtract: 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.