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Modular Forms and Fermat’s Last Theorem

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Table of Contents

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    Book Overview
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    Chapter 1 An Overview of The Proof of Fermat’s Last Theorem
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    Chapter 2 A Survey of the Arithmetic Theory of Elliptic Curves
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    Chapter 3 Modular Curves, Hecke Correspondences, and L-Functions
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    Chapter 4 Galois Cohomology
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    Chapter 5 Finite Flat Group Schemes
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    Chapter 6 Three Lectures on the Modularity of \(\bar{\rho }\) E,3 and the Langlands Reciprocity Conjecture
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    Chapter 7 Serre’s Conjecture
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    Chapter 8 An Introduction to the Deformation Theory of Galois Representations
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    Chapter 9 Explicit Construction of Universal Deformation Rings
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    Chapter 10 Hecke Algebras and the Gorenstein Property
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    Chapter 11 Criteria for Complete Intersections
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    Chapter 12 ℓ-adic Modular Deformations and Wiles’s “Main Conjecture”
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    Chapter 13 The Flat Deformation Functor
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    Chapter 14 Hecke Rings and Universal Deformation Rings
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    Chapter 15 Explicit Families of Elliptic Curves with Prescribed Mod N Representations
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    Chapter 16 Modularity of Mod 5 Representations
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    Chapter 17 An Extension of Wiles’ Results
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    Chapter 18 Class Field Theory and the First Case of Fermat’s Last Theorem
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    Chapter 19 Remarks on the History of Fermat’s Last Theorem 1844 to 1984
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    Chapter 20 On Ternary Equations of Fermat Type and Relations with Elliptic Curves
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    Chapter 21 Wiles’ Theorem and the Arithmetic of Elliptic Curves
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Title
Modular Forms and Fermat’s Last Theorem
Published by
Springer-Verlag New York, January 1997
DOI 10.1007/978-1-4612-1974-3
ISBNs
978-0-387-98998-3, 978-1-4612-1974-3
Editors

Gary Cornell, Joseph H. Silverman, Glenn Stevens

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