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Harmonic Analysis, the Trace Formula, and Shimura Varieties: Proceedings of the Clay Mathematics Institute, 2003 Summer School, the Fields Institute, ... 2-27, 2003 (Clay Mathematics Proceedings)

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 | #4093680 in Books |  Amer Mathematical Society |  2005-12-23 | Original language:English |  10.00 x7.00 x1.50l,2.70 | File type: PDF | 689 pages

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The modern theory of automorphic forms, embodied in what has come to be known as the Langlands program, is an extraordinary unifying force in mathematics. It proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. These reciprocity laws, conjectured by Langlands, are still largely unproved. However, their capacity to unite large areas of mathematic...

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