• Thumbnail for Robert Langlands
    Robert Phelan Langlands, CC FRS FRSC (/ˈlæŋləndz/; born October 6, 1936) is a Canadian mathematician. He is best known as the founder of the Langlands...
    21 KB (1,990 words) - 12:47, 31 December 2024
  • mathematics, the Langlands program is a set of conjectures about connections between number theory and geometry. It was proposed by Robert Langlands (1967, 1970)...
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  • the geometric Langlands correspondence relates algebraic geometry and representation theory. It is a reformulation of the Langlands correspondence obtained...
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  • Deligne created an axiomatic framework for the work of Shimura. In 1979, Robert Langlands remarked that Shimura varieties form a natural realm of examples for...
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  • [clarification needed] It was conjectured by Robert Langlands (1983) in the course of developing the Langlands program. The fundamental lemma was proved...
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  • The Langlands dual was introduced by Langlands (1967) in a letter to A. Weil. The L-group is used heavily in the Langlands conjectures of Robert Langlands...
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  • In mathematics, the local Langlands conjectures, introduced by Robert Langlands (1967, 1970), are part of the Langlands program. They describe a correspondence...
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  • Langlands and Bell, English artists Robert Langlands (born 1936), Canadian mathematician Langlands classification Langlands decomposition Langlands dual...
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  • Thumbnail for Bill Casselman
    He is closely connected to the Langlands program and has been involved in posting all of the work of Robert Langlands on the internet. Casselman did his...
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  • Thumbnail for Richard Taylor (mathematician)
    University. Taylor received the 2002 Cole Prize, the 2007 Shaw Prize with Robert Langlands, and the 2015 Breakthrough Prize in Mathematics. He received his B...
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  • was introduced by Robert Langlands, the mathematician who now occupies Albert Einstein's old office at the institute. Langlands was inspired by the work...
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  • Thumbnail for Ngô Bảo Châu
    for proving the fundamental lemma for automorphic forms (proposed by Robert Langlands and Diana Shelstad). He is the first Vietnamese national to have received...
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  • Prize)". Retrieved 21 July 2022. Chang, Kenneth (20 March 2018). "Robert P. Langlands Is Awarded the Abel Prize, a Top Math Honor". The New York Times...
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  • generalizations of trigonometric and elliptic functions. Through the Langlands conjectures, automorphic forms play an important role in modern number...
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  • now-celebrated visit of Robert Langlands to Turkey (now famous for the Langlands program, among many other things); during which Langlands worked out some arduous...
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  • analysis (1969). The second volume contains a thanks to Langlands, noting that "R. Langlands has shown that Exercise III.9.20 [in volume one] is false...
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  • theorem is a special case of more general conjectures due to Robert Langlands. The Langlands program seeks to attach an automorphic form or automorphic...
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  • 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...
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  • Thumbnail for Edward Frenkel
    Kazhdan, Frenkel introduced the analytic Langlands correspondence, a novel function-theoretic framework for the Langlands Program in the case of Riemann surfaces...
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  • mathematics, the Langlands classification is a description of the irreducible representations of a reductive Lie group G, suggested by Robert Langlands (1973)....
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  • modular forms and elliptic curves. Robert Langlands built on this idea in the construction of his expansive Langlands program, which has become one of the...
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  • the founding of the colony) by two Scottish immigrants, Robert Langlands (son of John Langlands, baker, of Dundee) and Thomas Fulton (ironmaster) (1813–1859)...
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  • analysis to number theory, most notably Martin Eichler, Atle Selberg, Robert Langlands, and James Arthur, have generalised the Poisson summation formula to...
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  • Thumbnail for Mathematical beauty
    on which led to the awarding of the Wolf Prize to Andrew Wiles and Robert Langlands), and "monstrous moonshine", which connects the Monster group to modular...
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  • Automorphic Forms on GL(2) (category Langlands program)
    Godement, R. (1970), Notes on Jacquet–Langlands' theory, Institute for Advanced Study Jacquet, H; Langlands, R. P. (1970), Automorphic Forms on GL (2)...
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  • Thumbnail for Harish-Chandra
    institute dedicated to Theoretical Physics and Mathematics, after him. Robert Langlands wrote in a biographical article of Harish-Chandra: He was considered...
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  • Thumbnail for Representation theory
    the theory include the Selberg trace formula and the realization by Robert Langlands that the Riemann–Roch theorem could be applied to calculate the dimension...
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  • in pion decay 2001 - Albert Eschenmoser, organic chemistry 2000 - Robert Langlands, mathematics 1999 - Rene Thomas, molecular biology 1998 - Leo Kadanoff...
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  • Thumbnail for Piers Plowman
    Piers Plowman) is a Middle English allegorical narrative poem by William Langland. It is written in un-rhymed, alliterative verse divided into sections called...
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  • Thumbnail for Quadratic reciprocity
    viewed as a vast generalization of quadratic reciprocity. Robert Langlands formulated the Langlands program, which gives a conjectural vast generalization...
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