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) David HELM - ,
Titre A derived local Langlands correspondence for GL(N)
Horaire11:00 à 12:00
RésumeWe describe joint work (with David Ben-Zvi and David Nadler) that constructs an equivalence between the derived category of smooth representations of $GL_n(Q_p)$ and a certain category of coherent sheaves on the moduli stack of Langlands parameters for $GL_n$. The proof of this equivalence is essentially a reinterpretation of $K$-theoretic results of Kazhdan and Lusztig via derived algebraic geometry. We will also discuss (conjectural) extensions of this work to the modular representation theory of $GL_n$.