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Modular Forms and Galois Cohomology by Haruzo Hida, Hida Haruzo

Modular Forms and Galois Cohomology

by Haruzo Hida , Hida Haruzo
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Book cover type: Paperback
  • ISBN13: 9780521072083
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 356
  • Original Price: GBP 72.0
  • Language: English
  • Edition: 1
  • Item Weight: 522 grams
  • BISAC Subject(s): Number Theory

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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