Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de jacquet et ye

DOI10.1016/S0012-9593(01)80002-1zbMath1002.11046arXivmath/9804013OpenAlexW1978695670MaRDI QIDQ3836293

Bao Châu Ngô

Publication date: 13 February 2000

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9804013

zbMATH Keywords

Hecke algebraSatake isomorphismfundamental lemmabase change homomorphism

Mathematics Subject Classification ID

Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (14)

Equidimensionality of convolution morphisms and applications to saturation problems. ⋮ Quantum K-theoretic geometric Satake: the case ⋮ A geometric Schur functor. ⋮ Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale ⋮ On representations distinguished by unitary groups ⋮ Factorization of period integrals. ⋮ Constructible exponential functions, motivic Fourier transform and transfer principle ⋮ Smooth transfer of Kloosterman integrals ⋮ Smooth transfer of Kloosterman integrals ⋮ Coherent sheaves and categorical \(\mathfrak{sl}_2\) actions ⋮ Nearby cycles of parahoric shtukas, and a fundamental lemma for base change ⋮ D-chtoucas de Drinfeld à modifications symétriques et identité de changement de base ⋮ Constructible exponential functions, motivic Fourier transformation and transfer principle. (Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de transfert). ⋮ Geometrization of trace formulas

Cites Work

• Correspondance de Langlands géométrique pour les corps de fonctions. (Geometric Langlands correspondence for function fields)
• Green polynomials and singularities of unipotent classes
• Perverse sheaves on affine Grassmannians and Langlands duality
• The fundamental lemma of Jacquet and Ye in positive characteristic
• Theory of spherical functions on reductive algebraic groups over p-adic fields
• Relative Kloosterman integrals for GL(3)
• Le lemme fondamental de Jacquet et Ye en caractéristiques égales
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