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Galois Representations in Arithmetic Algebraic Geometry

Galois Representations in Arithmetic Algebraic Geometry

Galois Representations in Arithmetic Algebraic Geometry

A. J. Scholl, University of Durham
R. L. Taylor, Harvard University, Massachusetts
April 2011
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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9780511893506
$81.99
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    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

    Product details

    April 2011
    Adobe eBook Reader
    9780511893506
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    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.
    Resources for
    Type
    Correction to Chapter 9
      Contributors
    • R. Coleman, B. Mazur, Boas Erez, Alexander Goncharov, Benedict H. Gross, Ben Moonen, Karl Rubin, Peter Schneider, A. J. Scholl, J.-P. Serre

    • Editors
    • A. J. Scholl , University of Durham
    • R. L. Taylor , Harvard University, Massachusetts