In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and consequential conjectures about connections between...
26 KB (2,932 words) - 05:53, 12 September 2024
[clarification needed] It was conjectured by Robert Langlands (1983) in the course of developing the Langlands program. The fundamental lemma was proved by Gérard...
14 KB (1,627 words) - 06:38, 16 May 2024
Phelan Langlands, CC FRS FRSC (/ˈlæŋləndz/; born October 6, 1936) is a Canadian mathematician. He is best known as the founder of the Langlands program, a...
21 KB (1,989 words) - 22:23, 19 September 2024
the geometric Langlands correspondence relates algebraic geometry and representation theory. It is a reformulation of the Langlands correspondence obtained...
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S-duality (section Relation to the Langlands program)
Montonen–Olive duality is closely related to a research program in mathematics called the geometric Langlands program. Another realization of S-duality in quantum...
19 KB (2,453 words) - 21:55, 12 June 2024
Frenkel introduced the analytic Langlands correspondence, a novel function-theoretic framework for the Langlands Program in the case of Riemann surfaces...
15 KB (1,438 words) - 15:20, 18 September 2024
Langlands dual Langlands group Langlands program Langlands, Queensland, a locality in the Western Downs Region, Queensland, Australia Langlands Park, a rugby...
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Shimura variety (section Role in the Langlands program)
equivalence between motivic and automorphic L-functions postulated in the Langlands program can be tested. Automorphic forms realized in the cohomology of a Shimura...
13 KB (1,692 words) - 00:35, 3 March 2024
mathematics, the local Langlands conjectures, introduced by Robert Langlands (1967, 1970), are part of the Langlands program. They describe a correspondence...
19 KB (2,041 words) - 21:59, 27 February 2024
1952) is a French mathematician working in number theory and the Langlands program. Laumon studied at the École Normale Supérieure and Paris-Sud 11 University...
4 KB (319 words) - 05:25, 27 September 2024