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) Dario Beraldo - Toulouse,
Titre Deligne-Lusztig duality on the stack of local systems.
Horaire10:30 à 12:00

In the setting of the geometric Langlands conjecture, we argue that the phenomenon of divergence at infinity on the stack of G-bundles on a smooth complete curve is controlled by the locus of semisimple local systems (for the Langlands dual group). We prove this by first introducing the Deligne-Lusztig functors (substitutes for the Serre functors, which do not make sense in our situation), and then by describing these functors explicitly. Along the way, we obtain a global geometric version of a theorem of Lusztig on the Steinberg module.

AdresseCampus Pierre et Marie Curie