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Modular Forms and Galois Cohomology (Cambridge Studies in Advanced Mathematics) by Haruzo Hida

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Published by Cambridge University Press .
Written in English

Subjects:

  • Analytic Number Theory,
  • Number Theory,
  • Mathematics,
  • Science/Mathematics,
  • General,
  • Topology - General,
  • Mathematics / Number Theory,
  • Mathematics-Topology - General,
  • Medical-General,
  • Galois theory,
  • Forms, Modular,
  • Homology theory

Book details:

The Physical Object
FormatHardcover
Number of Pages343
ID Numbers
Open LibraryOL7752846M
ISBN 10052177036X
ISBN 109780521770361

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Modular forms and Galois cohomology. [Haruzo Hida] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create This book provides a comprehensive account of the key theory on which the Taylor-Wiles proof of Fermat's last theorem is based.   Modular Forms and Galois Cohomology by Haruzo Hida, , available at Book Depository with free delivery worldwide. Modular Forms and Galois Cohomology: Haruzo Hida: We use cookies to Author: Haruzo Hida. 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 . Haruzo Hida – Modular Forms and Galois Cohomology. Published: | ISBN: X, | PDF + DJVU | pages | MB.

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 Price: $ Modular Forms and Fermat's Last Theorem Hardcover – Janu modular functions, modular curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of Wiles' proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth /5(4).   GEOMETRIC MODULAR FORMS AND ELLIPTIC CURVES By Haruzo Hida: pp., £, isbn ‐02‐‐5 (W MODULAR FORMS AND GALOIS COHOMOLOGY (Cambridge Studies in Advanced Mathematics 69) - Snaith - - Bulletin of the London Mathematical Society - Wiley Online LibraryCited by:   In this book, Hida explores exactly this fundamental connection between modular forms and Galois representations (including an account of Wiles' crucial theorem right in the middle of the book). Along the way, he explores both the theory of Galois representations and the cohomology theory of Galois groups.

The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions, modular curves, Galois cohomology, and finite group schemes. The notes by Mladen Dimitrov present the basics of the arithmetic theory of Hilbert modular forms and varieties, with an emphasis on the study of the images of the attached Galois representations, on modularity lifting theorems over totally real number fields, and on the cohomology of Hilbert modular varieties with integral coefficients. 2, Hilbert and Siegel modular forms, trace formulas, p-adic modular forms, and modular abelian varieties, all of which are topics for additional books. We also rarely analyze the complexity of the algorithms, but instead settle for occasional remarks about their practical efficiency. For most of this book we assume the reader has some prior File Size: 2MB.   Book reviews. MODULAR FORMS AND GALOIS COHOMOLOGY (Cambridge Studies in Advanced Mathematics 69) Victor Snaith. University of Southampton. Search for more papers by this author. Victor Snaith. University of Southampton. Search for more papers by this author. First published: 23 December Cited by: