Global rigid inner forms vs isocrystals

2018/12/29 by Tasho Kaletha, Kaletha, Tasho, Olivier Taïbi +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1812.11373

openalex publication_date 2018/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compare the cohomology of the global Galois gerbes constructed in [Kot] and [Kal18a], respectively, and give applications to the theory of endoscopy.

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• Global rigid inner forms and multiplicities of discrete automorphic\n representations
• Rigid inner forms over global function fields
• Isocrystals and limits of rigid local Langlands correspondences
• Endoscopy and the cohomology of GL(n)
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