Galois Representations in Arithmetic Algebraic Geometry

Erscheinungsjahr 2007
ISBN: 978-0-521-64419-8
Verlag: Cambridge University Press

Buch, Englisch, Band 254, 512 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 810 g

Reihe: London Mathematical Society Lecture Note Series

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.

Autoren/Hrsg.

Scholl, A. J.

Taylor, Richard Lawrence

Taylor , R. L.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

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.