Mendeley出力
＜図書＞
Modular forms and Fermat's last theorem
| 責任表示 | Gary Cornell, Joseph H. Silverman, Glenn Stevens, editors |
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| データ種別 | 図書 |
| 出版情報 | New York : Springer , c1997 |
| 本文言語 | 英語 |
| 大きさ | xix, 582 p. ; 25 cm |
| 概要 | This volume contains expanded versions of lectures given at an instructional conference on number theory & arithmetic geometry held August 9 through 18, 1995 at Boston University. Contributor's includ... the purpose of the conference & of this book, is to introduce & explain the many ideas & techniques used by Wiles in his proof that every (semi-stable) elliptic curve over Q is modular & to explain how Wiles' result can be combined with Ribet's theorem & ideas of Frey & Serre to show, at long last, that Fermat's Last Theorem is true. 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 & finite group schemes. Representation theory, which lies at the core of Wiles' proof, is dealt with in a chapter on automorphic representations & the Langlands-Tunnell theorem & this is followed by in-depth discussions of Serre's conjectures, Galois deformations, universal deformation rings, Hecke algebras, complete intersections & more, as the reader is led step-by-step through Wiles' proof. In recognition of the historical significance of Fermat's Last Theorem, the volume concludes by looking both forward & backward in time, reflecting on the history of the problem, while placing Wiles' theorem into a more general Diophantine context suggesting future applications. Students & professional mathematicians alike will find this volume to be an indispensable resource for mastering the epoch-making proof of Fermat's Last Theorem. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6916118 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | P 97/MODU/2 | 1997 |
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023211997011084 |
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書誌詳細
| 一般注記 | Papers from a conference held Aug. 9-18, 1995, at Boston University Includes bibliographical references and index |
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| 著者標目 | Cornell, Gary Silverman, Joseph H., 1955- Stevens, Glenn, 1953- |
| 件 名 | LCSH:Curves, Elliptic -- Congresses
全ての件名で検索
LCSH:Forms, Modular -- Congresses 全ての件名で検索 LCSH:Fermat's last theorem -- Congresses 全ての件名で検索 |
| 分 類 | LCC:QA567.2.E44 DC21:512/.74 NDC8:412.2 |
| 書誌ID | 1001399174 |
| ISBN | 0387946098 |
| NCID | BA32904061 |
| 巻冊次 | ISBN:0387946098 |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |