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(2018.12.21)Kai-Wen Lan:Cohomology of Shimura varieties and Hodge-Tate weights
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Update time: 2018-12-14
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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Kai-Wen Lan,University of Minnesota

Inviter:  
Title:
Cohomology of Shimura varieties and Hodge-Tate weights
Time & Venue:
2018.12.21 11:00-12:00 N817
Abstract:

I will explain that the cohomology of a (general) Shimura variety with coefficients in automorphic etale local systems is de Rham with Hodge-Tate weights computable using relative Lie algebra cohomology, and that the same is true for the cohomology with compact support and the interior cohomology, and hence also for the intersection cohomology when the automorphic local systems are attached to algebraic representations of regular highest weights. (This is based on joint work with Hansheng Diao, Ruochuan Liu, and Xinwen Zhu.)

 

 

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