Modular Forms and Fermat’s Last Theorem

Edited by Gary Cornell, Joseph H. Silverman and Glenn Stevens

in Springer Books from Springer

Date: 1997
ISBN: 978-1-4612-1974-3
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Chapters in this book:

An Overview of The Proof of Fermat’s Last Theorem

Glenn Stevens

A Survey of the Arithmetic Theory of Elliptic Curves

Joseph H. Silverman

Modular Curves, Hecke Correspondences, and L-Functions

David E. Rohrlich and George F. Rohrlich

Galois Cohomology

Lawrence C. Washington

Finite Flat Group Schemes

John Tate

Three Lectures on the Modularity of % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacuaHbpGCgaqeaaaa!37EC! $$\bar{\rho }$$ E,3 and the Langlands Reciprocity Conjecture

Stephen Gelbart

Serre’s Conjecture

Bas Edixhoven

An Introduction to the Deformation Theory of Galois Representations

Barry Mazur

Explicit Construction of Universal Deformation Rings

Bart de Smit and Hendrik W. Lenstra

Hecke Algebras and the Gorenstein Property

Jacques Tilouine

Criteria for Complete Intersections

Bart De Smit, Karl Rubin and René Schoof

ℓ-adic Modular Deformations and Wiles’s “Main Conjecture”

Fred Diamond and Kenneth A. Ribet

The Flat Deformation Functor

Brian Conrad

Hecke Rings and Universal Deformation Rings

Ehud De Shalit

Explicit Families of Elliptic Curves with Prescribed Mod N Representations

Alice Silverberg

Modularity of Mod 5 Representations

Karl Rubin

An Extension of Wiles’ Results

Fred Diamond

Class Field Theory and the First Case of Fermat’s Last Theorem

H. W. Lenstra and P. Stevenhagen

Remarks on the History of Fermat’s Last Theorem 1844 to 1984

Michael Rosen

On Ternary Equations of Fermat Type and Relations with Elliptic Curves

Gerhard Frey

Wiles’ Theorem and the Arithmetic of Elliptic Curves

Henri Darmon

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DOI: 10.1007/978-1-4612-1974-3

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