Galois Representations in Arithmetic Algebraic Geometry

Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.

A. J. Scholl (Edited by), R. L. Taylor (Edited by)

9780521644198, Cambridge University Press

Paperback, published 26 November 1998

504 pages
22.9 x 15.3 x 2.9 cm, 0.695 kg

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.

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.

Subject Areas: Number theory [PBH]