Global rigid inner forms vs isocrystals

Tasho Kaletha; Olivier Taïbi

doi:10.4171/dm/916

JournalsdmVol. 28, No. 4pp. 765–826

Global rigid inner forms vs isocrystals

Tasho Kaletha
University of Michigan, Ann Arbor, United States of America
- MathSciNet
- zbMATH Open
Olivier Taïbi
École Normale Supérieure de Lyon, France
- zbMATH Open

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Abstract

We compare the cohomology of the global Galois gerbes constructed by Kottwitz in arXiv:1401.5728 and by the first author in [Invent. Math. (2018), 271–369], respectively, and give applications to the theory of endoscopy.

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Tasho Kaletha, Olivier Taïbi, Global rigid inner forms vs isocrystals. Doc. Math. 28 (2023), no. 4, pp. 765–826

DOI 10.4171/DM/916