Jump to content

Search results

Showing results for langlands program. No results found for Langlands-Programm.
View (previous 20 | ) (20 | 50 | 100 | 250 | 500)
  • 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
  • Thumbnail for Robert Langlands
    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
  • 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
  • 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
  • Thumbnail for Edward Frenkel
    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
  • Thumbnail for Dennis Gaitsgory
    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
  • Thumbnail for Laurent Lafforgue
    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
  • Thumbnail for Ulrich Stuhler
    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
  • Thumbnail for Stephen Gelbart
    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
  • Thumbnail for Andrew Wiles
    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
View (previous 20 | ) (20 | 50 | 100 | 250 | 500)