Cohomology of stacks of shtukas

Date/heure
12 septembre 2018
14:00 - 15:00

Oratrice ou orateur
Cong Xue

Catégorie d'évènement
Séminaire de géométrie complexe


Résumé

I will recall the stacks of shtukas, their cohomologies and constant term morphisms. Then I will show that the contractibility of deep enough strata implies that the cohomologies are Hecke algebra modules of finite type. Then we can extend the definition of the excursion operators of V.Lafforgue from the space of cuspidal automorphic forms to the space of automorphic forms.