Galois Representations in Arithmetic Algebraic Geometry

This book is a conference proceedings based on 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 that have received substantial recent attention: 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. Some are research papers by: Coleman and Mazur, Goncharov, Gross, Serre.

This book is a proceedings based on the 1996 London Mathematical Society Durham Symposium 'Galois representations in arithmetic algebraic geometry', covering recent developments on the interface between algebraic number theory and arithmetic algebraic geometry. It contains expository articles and research papers from many of the best known researchers in this field, and it will be an invaluable resource for all researchers whose interests lie in algebraic number theory, arithmetic geometry, and related topics.