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Modular Forms and Galois Cohomology

Modular Forms and Galois Cohomology

Paperback

Series: Cambridge Studies in Advanced Mathematics, Book 69

Medical ReferenceGeneral Mathematics

ISBN10: 0521072085
ISBN13: 9780521072083
Publisher: Cambridge University Press
Published: Aug 14 2008
Pages: 356
Weight: 1.15
Height: 0.79 Width: 6.00 Depth: 9.00
Language: English
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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