Modular Forms and Galois Cohomology

By:

Haruzo Hida

Format:

Hardback

Series:

Cambridge Studies in Advanced Mathematics

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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.

Release date Australia

June 29th, 2000

Author

Haruzo Hida

Audience

Professional & Vocational

Illustrations

2 Tables, unspecified

Pages

356

Series

Cambridge Studies in Advanced Mathematics

Dimensions

158x236x28

ISBN-13

9780521770361

Product ID

2365689

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