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Modular Forms and Galois Cohomology

Haruzo Hida (University of California, Los Angeles)

$62.95

Paperback

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English
Cambridge University Press
14 August 2008
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:  
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:  
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


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