ENGLISH

Modular Forms and Galois Cohomology

By Haruzo Hida

Book information

Publisher
Cambridge University Press
Year
2000
ISBN
9780521770361, 0-521-77036-X
Open Library ID
OL7752846M
Language
english
Format
DJVU
Filesize
5 MB (5067102 bytes)
Series
Cambridge studies in advanced mathematics 69
Pages
176\176
Topic
Mathematics Algebra
Library
mexmat
Time added
2009-07-20 03:45:11

Description

This book provides a comprehensive account of a key, perhaps the most important, theory that forms the basis of Taylor-Wiles proof of Fermat's last theorem. Hida begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and recent results on elliptic modular forms, including a substantial simplification of the Taylor-Wiles proof by Fujiwara and Diamond. He offers 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.

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