Publication: The Intersection Complex as a Weight Truncation and an Application to Shimura Varieties
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Date
2011
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World Scientific Publishing Company
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Morel, 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.
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.
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Shimura varieties, intersection cohomology, Frobenius weights
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