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- Fundamental_lemma_(Langlands_program) abstract "In the mathematical theory of automorphic forms, the fundamental lemma relates orbital integrals on a reductive group over a local field to stable orbital integrals on its endoscopic groups. It was conjectured by Langlands (1983) in the course of developing the Langlands program. The fundamental lemma was proved by Gérard Laumon and Ngô Bảo Châu in the case of unitary groups and then by Ngô for general reductive groups, building on a series of important reductions made by Jean-Loup Waldspurger to the case of Lie algebras. Time magazine placed Ngô's proof on the list of the "Top 10 scientific discoveries of 2009". In 2010 Ngô was awarded the Fields medal for this proof.".
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- Fundamental_lemma_(Langlands_program) wikiPageWikiLink Grothendieck–Lefschetz_formula.
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- Fundamental_lemma_(Langlands_program) wikiPageWikiLink Mathematische_Annalen.
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- Fundamental_lemma_(Langlands_program) wikiPageWikiLink Proceedings_of_the_American_Mathematical_Society.
- Fundamental_lemma_(Langlands_program) wikiPageWikiLink Purity_(algebraic_geometry).
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- Fundamental_lemma_(Langlands_program) wikiPageWikiLink Séminaire_Nicolas_Bourbaki.
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- Fundamental_lemma_(Langlands_program) wikiPageWikiLink Unitary_group.
- Fundamental_lemma_(Langlands_program) wikiPageWikiLinkText "Fundamental lemma (Langlands program)".
- Fundamental_lemma_(Langlands_program) wikiPageWikiLinkText "Fundamental lemma".
- Fundamental_lemma_(Langlands_program) wikiPageWikiLinkText "fundamental lemma for automorphic forms".
- Fundamental_lemma_(Langlands_program) wikiPageWikiLinkText "fundamental lemma in the theory of automorphic forms".
- Fundamental_lemma_(Langlands_program) wikiPageWikiLinkText "fundamental lemma".
- Fundamental_lemma_(Langlands_program) author2Link "Diana Shelstad".
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- Fundamental_lemma_(Langlands_program) year "1987".
- Fundamental_lemma_(Langlands_program) subject Category:Algebraic_groups.
- Fundamental_lemma_(Langlands_program) subject Category:Automorphic_forms.
- Fundamental_lemma_(Langlands_program) subject Category:Langlands_program.
- Fundamental_lemma_(Langlands_program) subject Category:Theorems_in_algebra.
- Fundamental_lemma_(Langlands_program) subject Category:Theorems_in_number_theory.
- Fundamental_lemma_(Langlands_program) comment "In the mathematical theory of automorphic forms, the fundamental lemma relates orbital integrals on a reductive group over a local field to stable orbital integrals on its endoscopic groups. It was conjectured by Langlands (1983) in the course of developing the Langlands program.".
- Fundamental_lemma_(Langlands_program) label "Fundamental lemma (Langlands program)".
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