Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Francesco Lemma
Email des responsables : alexis.bouthier@imj-prg.fr, francesco.lemma(at)imj-prg.fr
Salle :
Adresse :

Orateur(s) Dan CIUBOTARU - Oxford University,
Titre A nonabelian Fourier transform for tempered unipotent representations
Horaire10:30 à 12:00
RésumeIn joint work with A.-M. Aubert and B. Romano, we define an involution on the space of compact tempered unipotent representations of inner twists of a split simple p-adic group. This generalizes a construction by Waldspurger for elliptic tempered representations of split orthogonal groups. We conjecture that the restriction to reductive quotients of maximal compact open subgroups intertwines this involution with a disconnected version of Lusztig's nonabelian Fourier transform for finite reductive groups. I will explain the definitions, the relation with Lusztig's proposed unipotent almost characters of semisimple p-adic groups, and give supporting evidence for the conjectures.
Salle15-25 502