Rigid inner forms over local function fields

DOI10.1016/j.aim.2023.109204arXiv2008.04472OpenAlexW4384110910MaRDI QIDQ6135859

Peter Dillery

Publication date: 28 August 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04472

zbMATH Keywords

Galois cohomologygerbesendoscopytransfer factorsTate-Nakayama dualitylocal function fieldsrefined local Langlands correspondence

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Brauer groups of schemes (14F22) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items

On unipotent representations of ramified 𝑝-adic groups

Cites Work

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• Rigid inner forms of real and \(p\)-adic groups
• The fundamental Lemma of Jacquet and Rallis. Appendix by Julia Gordon
• On Galois cohomology and weak approximation of connected reductive groups over fields of positive characteristic
• Parameterizing conjugacy classes of maximal unramified tori via Bruhat-Tits theory
• Stable trace formula: Cuspidal tempered terms
• Stable trace formula: Elliptic singular terms
• On the definition of transfer factors
• The Langlands classification and irreducible characters for real reductive groups
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Rational conjugacy classes in reductive groups
• On Galois cohomology of semisimple groups over local and global fields of positive characteristic
• Cohomology of artinian group schemes over local fields
• Rationality properties of linear algebraic groups. II
• Rational Points on Varieties
• Sign Changes in Harmonic Analysis on Reductive Groups
• Local integrability results in harmonic analysis on reductive groups in large positive characteristic
• Matching of orbital integrals (transfer) and Roche Hecke algebra isomorphisms
• The Cohomology Groups of Tori in Finite Galois Extensions of Number Fields
• The Cohomological Brauer Group of a Torsion 𝔾m-Gerbe
• Tate Duality in Positive Dimension over Function Fields