Modular Forms and Fermat's Last Theorem |
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Editor:
| Cornell, Gary Silverman, Joseph H. Stevens, Glenn |
ISBN: | 978-0-387-98998-3 |
Publication Date: | Jan 2000 |
Publisher: | Springer New York
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Imprint: | Springer |
Book Format: | Paperback |
List Price: | USD $109.99 |
Book Description:
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An introduction and explanation of the many ideas and techniques used by Wiles, and how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with the complete proof, followed by several chapters surveying elliptic curves, modular functions, Galois cohomology, and finite group schemes. Representation theory is dealt with a part of automorphic representations and the Langlands-Tunnell theorem, and is followed by...
More DescriptionAn introduction and explanation of the many ideas and techniques used by Wiles, and how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with the complete proof, followed by several chapters surveying elliptic curves, modular functions, Galois cohomology, and finite group schemes. Representation theory is dealt with a part of automorphic representations and the Langlands-Tunnell theorem, and is followed by in-depth discussions of Serre conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by reflecting on the history of the problem, while suggesting future applications for Wiles'theorem. Students and professionals alike will find this an indispensable resource.