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) Chen-Bo Zhu - National University of Singapore,
Titre Special unipotent representations of real classical groups
Horaire10:30 à 12:00

In this talk, I will discuss a recent work, joint with Barbasch, Ma and Sun, in which we construct and classify all special unipotent representations of a real classical group (including the real metaplectic group), in the sense of Arthur and Barbasch-Vogan. I will explain the key ingredientsof this classification: counting by coherent families  (combinatorial aspect), construction by theta lifting (analytic aspect), and distinguishing by invariants (algebraic-geometric aspect), with unitarity as a direct consequence. For quasi-split classical groups, the unitarity is independently due to Adams, Arancibia Robert and Mezo, through the endoscopic classification of Arthur and Mok.

AdresseSophie Germain