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  3. Cohomology of Drinfeld Modular Varieties
  • Cited by 23
      • Part 1: Geometry, Counting of Points and Local Harmonic Analysis
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    • Publisher:
      Cambridge University Press
      Publication date:
      03 May 2010
      14 December 1995
      ISBN:
      9780511666162
      9780521470605
      9780521172745
      DOI:
      https://doi.org/10.1017/CBO9780511666162
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.63kg, 360 Pages
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.53kg, 360 Pages
      • Subjects:
      Mathematics (general), Mathematics, Number Theory
      Series:
      Cambridge Studies in Advanced Mathematics (41)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Number Theory
    Series:
    Cambridge Studies in Advanced Mathematics (41)
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    Book description

    Originally published in 1995, Cohomology of Drinfeld Modular Varieties aimed to provide an introduction, in two volumes, both to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the number-theoretic case, one expects to establish the conjecture for function fields by studying the cohomology of Drinfeld modular varieties, which has been done by Drinfeld himself for the rank two case. The present volume is devoted to the geometry of these varieties, and to the local harmonic analysis needed to compute their cohomology. Though the author considers only the simpler case of function rather than number fields, many important features of the number field case can be illustrated.

    Reviews

    Review of the hardback:‘This is a very impressive achievement.’

    H.J. Baues Source: Mathematika

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