Morel, Sophie Marguerite2011-04-082011Morel, Sophie. 2011. The intersection complex as a weight truncation and an application to Shimura varieties. In ICM 2010: Proceedings of the International Congress of Mathematicians, Hyderabad, India, 19–27 August 2010, ed. R. Bhatia and A. Pal. Singapore, Hackensack, NJ: World Scientific Publishing Company.98143243029789814324304http://nrs.harvard.edu/urn-3:HUL.InstRepos:4817365The 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.en-USShimura varietiesintersection cohomologyFrobenius weightsMonograph or Book2011-04-0810.1142/9789814324359_0053