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) Uri ONN - Institut Weizmann et I.M.J.,
Titre From $p$-adic to real Grassmannians via the quantum
Horaire14:00 à 15:00
RésumeLet $F$ be any local field and let $K(F)$ be the maximal compact subgroup of $GL(n,F)$. We will discuss the representation of $K(F)$ arising from its action on the Grassmannian of $m$ dimensional subspaces of $F^n$. This representation turns out to be multiplicity free, with irreducibles parameterized by a set which does not depend on the field $F$. We use the quantum Grassmannian to relate irreducibles carrying the same label for the various local fields.