Modular Forms and Galois Cohomology by Haruzo Hida
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Modular Forms and Galois Cohomology
By Haruzo Hida

Modular Forms and Galois Cohomology

By (author) See other recent books by Haruzo Hida
Series edited by B. Bollobas See other recent books by B. Bollobas See other recent books by W. Fulton
Format: Hardback

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Modular Forms and Galois Cohomology by Haruzo Hida

Book Description

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.

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Book Details

ISBN: 9780521770361
ISBN-10: 052177036X
Format: Hardback
(228mm x 152mm x 24mm)
Pages: 356
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 29-Jun-2000
Country of Publication: United Kingdom

Other Editions...


Books By Author Haruzo Hida

Modular Forms and Galois Cohomology by Haruzo Hida Modular Forms and Galois Cohomology, Paperback (August 2008)

Comprehensive account of recent developments in arithmetic theory of modular forms, for graduates and researchers.

Hilbert Modular Forms and Iwasawa Theory by Haruzo Hida Hilbert Modular Forms and Iwasawa Theory, Hardback (June 2006)

The 1995 work of Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book, by a leading researcher, covers both this general area and that of Iwasawa Theory, which is currently enjoying a resurgence in popularity.

Elementary Theory of L-functions and Eisenstein Series by Haruzo Hida Elementary Theory of L-functions and Eisenstein Series, Paperback (February 1993)

An elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise.

» View all books by Haruzo Hida

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