SEMINARIO DE TEORÍA DE GRUPOS

Miercoles 26 de Octubre, 11:30, Modulo 17, Aula 520

Title: Bounds on absolute values of irreducible characters of compact p-adic groups.

Abstract: In an unpublished note Larsen found a short proof of the following statement. Let $G$ be the group of $F_q$ points of a simply connected almost simple group. Then for every regular semisimple $gammain G$ and irreducible character $chi$ of $G$ we have $|chi(gamma)|leq |W|^2$ where $W$ is the Weyl group of $G$. I will talk about a generalization of this result to the setting of compact $p$-adic groups (e.g. such as $SL(n,Z_p)$) and its application to the limit multiplicity problem for arithmetic hyperbolic $3$-manifolds.