From Langlands' automorphic transfer to nonlinear Poisson formulas

DOI10.5802/aif.3029zbMath1417.11153OpenAlexW2345621001MaRDI QIDQ332207

Laurent Lafforgue

Publication date: 27 October 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/aif.3029

zbMATH Keywords

Fourier transformfunction fieldsreductive groupsadelesLanglands' automorphic transferPoisson formula

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) (zeta (s)) and (L(s, chi)) (11M06) Linear algebraic groups over global fields and their integers (20G30) Adèle rings and groups (11R56) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Linear algebraic groups over local fields and their integers (20G25)

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Cites Work

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• Zeta functions of simple algebras
• Structures de Hodge–Pink pour les φ/𝔖-modules de Breuil et Kisin
• Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale