Speaker
Ramla Abdellatif
(Université de Picardie Jules Verne)
Description
Given a prime integer $p$, the goal of this talk is to explain how the $p$-modular representation theory of $p$-adic groups strongly differs from the classical representation theory of $p$-adic groups (i.e. over complex vector spaces) and from the $\ell$-modular representation theory when $\ell$ is a prime integer other than $p$. We will use the basic examples of $\mathrm{GL}_{2}(F)$ and $\mathrm{SL}_{2}(F)$, with $F$ being a finite extension of the field of $p$-adic numbers, as guidelines, so that no specific background beyond classical representation-theoretic definitions is required.
Author
Ramla Abdellatif
(Université de Picardie Jules Verne)