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Cohomology and Geometry of Deligne—Lusztig varieties for $\text{GL}_n$

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Speaker: 
Yingying Wang
Affiliation: 
Universität Duisburg-Essen
Date: 
Tue, 12/09/2023 - 14:50 - 15:10
Location: 
MPIM Lecture Hall

In this talk, we give a brief overview of our study of the cohomology of the structure sheaf and canonical sheaf in the $\text{GL}_n$-case and the geometry of Deligne—Lusztig varieties and related structures. We will also explain how to obtain the compactly supported mod $p$-power cohomology groups of Deligne—Lusztig varieties from our result.

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