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) Syu KATO - RIMS, Kyoto University,
Titre Discrete series of affine Hecke algebras of classical types via exotic Deligne-Langlands correspondence
Horaire10:30 à 11:30
RésumeExotic Deligne-Langlands correspondence (eDL for short) is a geometric variant of the Deligne-Langlands-Lusztig conjecture (Kazhdan-Lusztig theorem) of affine Hecke algebras of classical groups, which replace its Galois side with more uncommon data. As a model of whole representations, eDL provides much wider scope and simpler description than the original. However, subtle information like being discrete series becomes non-obvious in eDL. Even so, one can deduce precise information like character-computation algorithm of discrete series from eDL, in a way enough to determine formal degree constant. After a brief introduction to eDL, I will explain how to see such information. This talk is based on joint works with Dan Ciubotaru.