On the generic part of the cohomology of local and global Shimura varieties

Published 20 Jun 2021 in math.NT and math.AG | (2106.10602v1)

Abstract: Using the work of Fargues-Scholze, we prove a vanishing theorem for the generic unramified part of the cohomology of local Shimura varieties of general linear groups. This gives an alternative approach to vanishing results of Caraiani-Scholze for the cohomology of unitary Shimura varieties.

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Authors (1)

Teruhisa Koshikawa

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