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Galois Representations in Arithmetic Algebraic Geometry

Galois Representations in Arithmetic Algebraic Geometry

$77.95

Part of London Mathematical Society Lecture Note Series

R. Coleman, B. Mazur, Boas Erez, Alexander Goncharov, Benedict H. Gross, Ben Moonen, Karl Rubin, Peter Schneider, A. J. Scholl, J.-P. Serre
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  • Date Published: November 1998
  • availability: Available
  • format: Paperback
  • isbn: 9780521644198

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About the Authors
  • This book contains conference proceedings from the 1996 Durham Symposium on 'Galois representations in arithmetic algebraic geometry'. The title was interpreted loosely and the symposium covered recent developments on the interface between algebraic number theory and arithmetic algebraic geometry. The book reflects this and contains a mixture of articles. Some are expositions of subjects which have received substantial attention, e.g. Erez on geometric trends in Galois module theory; Mazur on rational points on curves and varieties; Moonen on Shimura varieties in mixed characteristics; Rubin and Scholl on the work of Kato on the Birch-Swinnerton-Dyer conjecture; and Schneider on rigid geometry. Others are research papers by authors such as Coleman and Mazur, Goncharov, Gross and Serre.

    • Indispensable for researchers in this area
    • Authors are the very top names
    • Covers developments in the field
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    Product details

    • Date Published: November 1998
    • format: Paperback
    • isbn: 9780521644198
    • length: 504 pages
    • dimensions: 229 x 153 x 29 mm
    • weight: 0.695kg
    • availability: Available
  • Table of Contents

    Preface
    List of participants
    Lecture programme
    1. The Eigencurve R. Coleman and B. Mazur
    2. Geometric trends in Galois module theory Boas Erez
    3. Mixed elliptic motives Alexander Goncharov
    4. On the Satake isomorphism Benedict H. Gross
    5. Open problems regarding rational points on curves and varieties B. Mazur
    6. Models of Shimura varieties in mixed characteristics Ben Moonen
    7. Euler systems and modular elliptic curves Karl Rubin
    8. Basic notions of rigid analytic geometry Peter Schneider
    9. An introduction to Kato's Euler systems A. J. Scholl
    10. La distribution d'Euler-Poincaré d'un groupe profini Jean-Pierre Serre.

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    Galois Representations in Arithmetic Algebraic Geometry

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  • Editors

    A. J. Scholl, University of Durham

    R. L. Taylor , Harvard University, Massachusetts

    Contributors

    R. Coleman, B. Mazur, Boas Erez, Alexander Goncharov, Benedict H. Gross, Ben Moonen, Karl Rubin, Peter Schneider, A. J. Scholl, J.-P. Serre

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