Langlands program
Langlands program In mathematics, the Langlands program is a web of far-reaching ... certain groups. It was proposed by Robert Langlands beginning in 1967. Connection with number theory ... setting of automorphic representations The insight of Langlands was to find the proper generalization of ... of C that satisfy certain functional equations). Langlands then generalized these to automorphic cuspidal ...
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Long land program   (translated from German)
... program the following ideas were received: those Philosophy of the point forms, the some years ...
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Talk:Philosophy of mathematics/Archive 1
Talk:Philosophy of mathematics/Archive 1 < Talk:Philosophy of mathematics Early discussion I don't ... coherent and representative of the discipline of philosophy of mathematics as endorsed by the various ... at right now. It differs from the philosophy of science by not taking mathematics as ... a neutral point of view, and that philosophy of science has no basic critique ...
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Unifying theories in mathematics
... very naturally. Another field, known as the Langlands Program, likewise starts with apparently haphazard similarities ... Homological algebra Homotopy theory Grothendieck's schemes Langlands philosophy Non-commutative geometry. We illustrate the concept ... being proved in generality. In fact the Langlands philosophy is much more like a web ...
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List of Princeton University people
... and Earthly Powers Donald Davidson - professor of philosophy Gilbert Harman - professor of philosophy William Howarth - professor of English and environmental ... Prize for Poetry) Gilbert Harman - professor of philosophy Saul Kripke - professor of philosophy Paul Lansky - composer, professor of music Chang ... Bestselling Author David K. Lewis - professor of philosophy Perry Link - professor of East Asian ...
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Mathematical beauty
... Wolf Prize to Andrew Wiles and Robert Langlands), and "monstrous moonshine" which connected the Monster ... actively cultivate these aesthetics, certainly in its philosophy of science if nowhere else. The most ... the austere beauty of mathematics. Beauty and philosophy Some mathematicians are of the opinion that ... rather than a mathematician. In Plato's philosophy there were two worlds, the physical one ...
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Conjecture of Artin about the functions L   (translated from French)
... come from the rather strong result from philosophy of Langlands, concerning the functions L associated with representations ... current general information in the work of Langlands.
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Hilbert's twelfth problem
... representations have been studied in depth. Robert Langlands wrote an important report (Ein Märchen) in ... side, at least from his viewpoint or Langlands philosophy. The main thrust, on this view, of ...
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Artin conjecture (L-functions)
... follow from strong enough results from the Langlands philosophy, relating to the L-functions associated to ... major motivations for the generality present in Langlands' work.
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Selberg trace formula
... Israel Gelfand school, by Harish-Chandra and Langlands in Princeton, and by Tomio Kubota in ... studies of the trace formula in the Langlands philosophy (dealing with technical issues such as endoscopy ...
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