Description

Book Synopsis
This book has its origins in the 1996 Durham Symposium on 'Galois representations in arithmetic algebraic geometry'. Included here are expositions of subjects on the interface between algebraic number theory and arithmetic algebraic geometry which have received substantial attention from many of the best known researchers in this field.

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.

LMS 254 Galois Repres Algebra Geom London

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    A Paperback by A. J. Scholl, R. L. Taylor

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      Book details

      Publisher Cambridge University Press
      Published 11/26/1998 12:00:00 AM
      ISBN-13 9780521644198
      978-0521644198
      ISBN-10 0521644194
      Also in:
      Mathematics Algebra Number theory

      Description

      Book Synopsis
      This book has its origins in the 1996 Durham Symposium on 'Galois representations in arithmetic algebraic geometry'. Included here are expositions of subjects on the interface between algebraic number theory and arithmetic algebraic geometry which have received substantial attention from many of the best known researchers in this field.

      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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