• Facets (new session)
• Description
• Metadata
• Settings
  • Rule: ActivityStreamsMapasEquivalentb3sb3sifpdbprdf-labelfacetshttp://dbpedia.org/resource/inference/rules/dbpedia#http://dbpedia.org/resource/inference/rules/opencyc#http://dbpedia.org/resource/inference/rules/umbel#http://dbpedia.org/resource/inference/rules/yago#http://dbpedia.org/schema/property_rules#http://www.ontologyportal.org/inference/rules/SUMO#http://www.ontologyportal.org/inference/rules/WordNet#http://www.w3.org/2002/07/owl#ldpoplwebskos-transurn:det:rdf:labelvirtrdf-labelvirtrdf-urlNone
    
  • Inverse Functional Properties: Disabled (fastest) Apply to subjects only Apply to objects only Apply to both subjects and objects
  • "Same As": Disabled (fastest) Apply to subjects only Apply to objects only Apply to both subjects and objects (recommended) Apply to subjects, objects and predicates (not recommended on big datasets) Apply to predicates only (special use cases only)

About: Fundamental lemma (Langlands program)     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatAlgebraicGroups, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:WikicatAutomorphicFormsyago:WikicatTheoremsInAlgebrayago:WikicatTheoremsInNumberTheoryyago:Abstraction100002137yago:Communication100033020yago:Form106290637yago:Group100031264yago:LanguageUnit106284225yago:Message106598915yago:Part113809207yago:Proposition106750804yago:Relation100031921yago:Word106286395yago:Statement106722453yago:Theorem106752293yago:WikicatAlgebraicGroups New Facet based on Instances of this Class

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 Robert Langlands 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 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.