Modular forms and Fermat's last theorem /
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| Imprint: | New York : Springer, c1997. |
|---|---|
| Description: | xix, 582 p. : ill. ; 24 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/2916617 |
Table of Contents:
- Ch. I. An Overview of the Proof of Fermat's Last Theorem / Glenn Stevens
- Ch. II. A Survey of the Arithmetic Theory of Elliptic Curves / Joseph H. Silverman
- Ch. III. Modular Curves, Hecke Correspondences, L-Functions / David F. Rohrlich
- Ch. IV. Galois Cohomology / Lawrence C. Washington
- Ch. V. Finite Flat Group Schemes / John Tate
- Ch. VI. Three Lectures on the Modularity of [rho][subscript E,3] and the Langlands Reciprocity Conjecture / Stephen Gelbart
- Ch. VII. Serre's Conjectures / Bas Edixhoven
- Ch. VIII. An Introduction to the Deformation Theory of Galois Representations / Barry Mazur
- Ch. IX. Explicit Construction of Universal Deformation Rings / Bart de Smit and Hendrik W. Lenstra, Jr.
- Ch. X. Hecke Algebras and the Gorenstein Property / Jacques Tilouine
- Ch. XI. Criteria for Complete Intersections / Bart de Smit, Karl Rubin and Rene Schoof
- Ch. XII. l-adic Modular Deformations and Wiles's "Main Conjecture" / Fred Diamond and Kenneth A. Ribet
- Ch. XIII. The Flat Deformation Functor / Brian Conrad
- Ch. XIV. Hecke Rings and Universal Deformation Rings / Ehud de Shalit
- Ch. XV. Explicit Families of Elliptic Curves with Prescribed Mod N Representations / Alice Silverberg
- Ch. XVI. Modularity of Mod 5 Representations / Karl Rubin
- Ch. XVII. An Extension of Wiles' Results / Fred Diamond
- Appendix to Ch. XVII. Classification of [rho][subscript E,l] by the j Invariant of E / Fred Diamond and Kenneth Kramer
- Ch. XVIII. Class Field Theory and the First Case of Fermat's Last Theorem / Hendrik W. Lenstra, Jr. and Peter Stevenhagen
- Ch. XIX. Remarks on the History of Fermat's Last Theorem 1844 to 1984 / Michael Rosen
- Ch. XX. On Ternary Equations of Fermat Type and Relations with Elliptic Curves / Gerhard Frey
- Ch. XXI. Wiles' Theorem and the Arithmetic of Elliptic Curves / Henri Darmon.