The intersection complex as a weight truncation and an application to Shimura varieties

Sophie Morel (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

The purpose of this talk is to present an (apparently) new way to look at the intersection complex of a singular variety over a finite field, or, more generally, at the intermediate extension functor on pure perverse sheaves, and an application of this to the cohomology of noncompact Shimura varieties.

Domaines: Mathématiques [math]

Sophie Morel. The intersection complex as a weight truncation and an application to Shimura varieties. Proceedings of the 2010 ICM, 2010. ⟨hal-03058389⟩