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

2018/06/26 by Morel, Sophie
#14F20 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Primary 11F75 #Representation Theory (math.RT) #Secondary 11G18

paper · doi:10.48550/arxiv.1806.09920

Abstract

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.

Related

• Motivic Intersection Complex of Certain Shimura varieties
• Intersection Cohomology of Igusa Stacks
• Weighted Cohomology, Hodge Theory and Intersection Cohomology of Shimura varieties
• The semi-infinite intersection cohomology sheaf
• The semi-infinite intersection cohomology sheaf-II: the Ran space version