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Science/Engineering Modular Forms and Galois Cohomology

Posted on 2010-03-16




Name:Science/Engineering Modular Forms and Galois Cohomology
ASIN/ISBN:052177036X
Language:English
File size:5.1 Mb
Publish Date: 2000
ISBN: 052177036X
Pages: 343 pages
File Size: 5,1 MB
Other Info: Cambridge University Press; Djvu
   Science/Engineering Modular Forms and Galois Cohomology

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Haruzo Hida, "Modular Forms and Galois Cohomology"

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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