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- In mathematics, the Langlands program is a set of conjectures about connections between number theory, the theory of automorphic forms, and geometry....21 KB (2,351 words) - 22:52, 31 May 2025
- 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 (1,990 words) - 19:11, 27 April 2025
- [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 (1,641 words) - 06:17, 9 January 2025
- the geometric Langlands correspondence relates algebraic geometry and representation theory. It is a reformulation of the Langlands correspondence obtained...7 KB (786 words) - 16:49, 31 May 2025
- 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...20 KB (2,501 words) - 13:50, 2 May 2025
- 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...14 KB (1,701 words) - 03:49, 9 January 2025
- In mathematics, the Langlands group is a conjectural group LF attached to each local or global field F, that satisfies properties similar to those of...2 KB (243 words) - 20:51, 27 November 2023
- Frenkel introduced the analytic Langlands correspondence, a novel function-theoretic framework for the Langlands Program in the case of Riemann surfaces...15 KB (1,446 words) - 12:06, 26 March 2025
- major recent progress on the geometric Langlands program, including the final proof of the geometric Langlands conjecture in characteristic zero." 2021...21 KB (1,426 words) - 15:20, 7 June 2025
- mathematics, the local Langlands conjectures, introduced by Robert Langlands (1967, 1970), are part of the Langlands program. They describe a correspondence...20 KB (2,041 words) - 03:07, 11 May 2025
- Mathematics (MPIM) at Bonn and is known for his research on the geometric Langlands program. Born in Chișinău (now in Moldova) he grew up in Tajikistan, before...4 KB (271 words) - 16:20, 2 June 2025
- L-packet (category Langlands program)have the same Langlands parameter, and so have the same L-function and ε-factors. L-packets were introduced by Robert Langlands in (Langlands 1989), (Labesse...4 KB (526 words) - 14:10, 23 April 2024
- Langlands dual Langlands group Langlands program Langlands, Queensland, a locality in the Western Downs Region, Queensland, Australia Langlands Park, a rugby...1 KB (157 words) - 00:45, 6 January 2023
- outstanding contributions to Langlands' program in the fields of number theory and analysis, and in particular proved the Langlands conjectures for the automorphism...9 KB (773 words) - 06:42, 23 May 2025
- his contributions to the Langlands program. In 1993, he—along with Gérard Laumon and Michael Rapoport—proved the local Langlands conjectures for the general...2 KB (120 words) - 07:10, 12 January 2023
- absent in the Langlands correspondence. There are several other nonabelian theories, local and global, which provide alternatives to the Langlands correspondence...16 KB (2,203 words) - 02:36, 11 May 2025
- should be fitted into one theory (examples include Hilbert's program and Langlands program). The unification of mathematical topics has been called mathematical...13 KB (1,846 words) - 20:29, 5 February 2025
- 2013 "for contributions to the development and dissemination of the Langlands program." Gelbart was born in Syracuse, New York, son of the mathematician...5 KB (429 words) - 07:53, 28 May 2025
- Theorem, but pushed the whole of mathematics as a field towards the Langlands program of unifying number theory. Wiles was born on 11 April 1953 in Cambridge...32 KB (3,075 words) - 05:19, 5 June 2025
- Gan–Gross–Prasad conjecture (category Langlands program)_{\mathrm {GP} }} be the "distinguished character" defined in terms of the Langlands–Deligne local constant, then furthermore Hom H ( π ( φ , η ) ⊗ ν ¯ ...14 KB (1,753 words) - 06:50, 17 April 2025