Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Benoît Stroh
Email des responsables : alexis.bouthier@imj-prg.fr, benoit.stroh@imj-prg.fr
Salle :
Adresse :

Orateur(s) Elmar GROSSE-KLÖNNE - Université de Munster,
Titre On special representations of p-adic reductive groups
Horaire14:00 à 15:00
RésumeFor a split reductive group $G$ over a non-Archimedean locally compact field $F$ and a parabolic subgroup $P\subset G$ I am going to consider the corresponding special $G$-representation with coefficients in a ring $L$ : $$C^{\infty}(G/P,L)/\sum_{P' \supsetneq P} C^{\infty}(G/P',L).$$ For example, if $P$ is a Borel subgroup then this is the Steinberg representation (with coefficients in $L$). I will be particularly interested in the restriction of these representations to Iwahori subgroups in $G$.