Depth zero representations over \(\overline{\mathbb{Z}}[1/p]\)

Seminar "Representation Theory and Automorphic Forms" | 01.03.2022 13:15 - 14:45

Thomas Lanard (University of Vienna)

In this talk, I will talk about the category of depth zero representations of a p-adic group with coefficients in \(\overline{\mathbb{Z}}[1/p]\). We will see that the blocks (indecomposable summands) of this category are in natural bijection with the connected components of the space of tamely ramified Langlands parameters. In the last part, I will explain some potential applications to the Fargues-Scholze and Genestier-Lafforgue semisimple local Langlands correspondences. This is joint work with Jean-François Dat.

Organiser:

H. Grobner, A. Minguez-Espallargas, A. Mellit

Location:

Depth zero representations over \(\overline{\mathbb{Z}}[1/p]\)

H. Grobner, A. Minguez-Espallargas, A. Mellit

SR 10, 2. OG., OMP 1