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Item Details
| Title:
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MODULAR FORMS AND FERMAT'S LAST THEOREM
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| By: |
Gary Cornell (Editor), Joseph H. Silverman (Editor), Glenn Stevens (Editor) |
| Format: |
Paperback |
| List price:
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£73.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0387989986 |
| ISBN 13: |
9780387989983 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
1 January, 2000 |
| Edition: |
1st ed. 1997. 3rd printing 2000 |
| Pages: |
601 |
| Description: |
Focuses on Andrew Wiles' proof of the Taniyama-Shimura-Weil conjecture for semistable elliptic curves and the works of Frey, Serre, Ribet showing that Wiles' Theorem would complete the proof of Fermat's Last Theorem. This book reflects on the history of the problem. It describes the connections of Wiles' work with other parts of mathematics. |
| Synopsis: |
This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource. |
| Illustrations: |
biography |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |
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