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) Zhao, Yifei - Orsay,
Titre Revisiting the Frenkel-Gaitsgory-Vilonen vanishing conjecture
Horaire10:30 à 12:00
Diffusion https://us04web.zoom.us/j/75655336141?pwd=dmd1VXAvNFFkQWxYdDVRanpSTWYyZz09
RésumeThe vanishing conjecture of Frenkel-Gaitsgory-Vilonen plays a fundamental role in the geometric Langlands program for GL_n. In particular, it implies the existence of a Hecke eigensheaf associated to any irreducible local system. The vanishing conjecture has been settled by Gaitsgory in 2002. In this talk, I will review its history and explain a new approach towards its proof via Beilinson's theory of singular support of constructible sheaves. This is joint work with Kevin Lin. https://us04web.zoom.us/j/75655336141?pwd=dmd1VXAvNFFkQWxYdDVRanpSTWYyZz09 ID de réunion : 756 5533 6141 Code secret : 2zDWd7