This book provides a comprehensive account of a key (and perhaps the most important) theory upon which the Taylor–Wiles proof of Fermat's last theorem is based. The book begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and results on elliptic modular forms, including a substantial simplification of the Taylor–Wiles proof by Fujiwara and Diamond. It contains a detailed exposition of the representation theory of profinite groups (including deformation theory), as well as the Euler characteristic formulas of Galois cohomology groups. The final chapter presents a proof of a non-abelian class number formula and includes several new results from the author. The book will be of interest to graduate students and researchers in number theory (including algebraic and analytic number theorists) and arithmetic algebraic geometry.
By:
Haruzo Hida (University of California Los Angeles) Imprint: Cambridge University Press Country of Publication: United Kingdom Volume: 69 Dimensions:
Height: 227mm,
Width: 152mm,
Spine: 19mm
Weight: 540g ISBN:9780521072083 ISBN 10: 0521072085 Series:Cambridge Studies in Advanced Mathematics Pages: 356 Publication Date:14 August 2008 Audience:
Professional and scholarly
,
Undergraduate
Format:Paperback Publisher's Status: Active
Reviews for Modular Forms and Galois Cohomology
O'Farrell knows that boys will be boys--and men will be boys too--for as long as they can get away with it. . . . every achingly funny gag here rings true. Bottom line: the best took into a man's head short of a CAT scan. -- Kyle Smith