The fundamental lemma for Lie algebras
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Publication:981519
DOI10.1007/s10240-010-0026-7zbMath1200.22011arXiv0801.0446OpenAlexW1669705256MaRDI QIDQ981519
Publication date: 30 June 2010
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.0446
Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Geometric Langlands program: representation-theoretic aspects (22E57)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable bundles and integrable systems
- The fundamental lemma for stable base change
- Fonctions élémentaires et lemme fondamental pour le changement de base stable. (Elementary functions and fundamental lemma for stable base change)
- Involutions of reductive Lie algebras in positive characteristic
- Uniformization of \({\mathcal {G}}\)-bundles
- Codimensions of root valuation strata
- Stable trace formula: Cuspidal tempered terms
- Fixed point varieties on affine flag manifolds
- On the fixed point set of a unipotent element on the variety of Borel subgroups
- Unstable orbital integrals on SL(3)
- Homology of affine Springer fibers in the unramified case
- The gerbe of Higgs bundles.
- The dimension of the fixed point set on affine flag manifolds
- The fundamental lemma for unitary groups
- Hitchin fibration and endoscopy
- Some arithmetical results on semi-simple Lie algebras
- Algebraic approximation of structures over complete local rings
- Constructible exponential functions, motivic Fourier transformation and transfer principle. (Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de transfert).
- Some Basic Theorems on Algebraic Groups
- Moduli Space of Semistable Pairs on a Curve
- Ideals Associated to Deformations of Singular Plane Curves
- L’endoscopie tordue n’est pas si tordue
- Spectral curves and the generalised theta divisor.
- L-Indistinguishability For SL (2)
- Orbital integrals and a family of groups attached to a real reductive group
- Orbital Integrals on GL 3
- Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
- Sur Les Intégrales Orbitales Tordues Pour Les Groupes Linéaires: Un Lemme Fondamental
- An Infinitesimal Study of the Moduli of Hitchin Pairs
- Euler number of the compactified Jacobian and multiplicity of rational curves
- Lie Group Representations on Polynomial Rings
- Purity of equivalued affine Springer fibers
- ENDOSCOPIE ET CHANGEMENT DE CARACTÉRISTIQUE
- The center of the universal enveloping algebra of a Lie algebra in characteristic $p$
- Theoremes de connexite pour les produits d'espaces projectifs et les Grassmanniennes
- The fundamental lemma for $Sp(4)$
- Congruences of Néron models for tori and the Artin conductor