Cartier duality, character sheaves, and generic vanishing

par Gabriel Ribeiro (École Polytechnique)

lundi 19 juin 2023, 14:00 → 15:00 Europe/Paris

CMLS, École Polytechnique

Since Green and Lazarsfeld's seminal work, generic vanishing theorems have influenced many fields ranging from birational geometry to analytic number theory. In this talk, I will present a new generic vanishing theorem for holonomic D-modules, that may shed new light on both of these worlds. Following ideas of Laumon, I'll explain how "character sheaves" play the role of topologically trivial line bundles and construct their moduli space based on a stacky version of Cartier duality.