Modular Forms and Fermat’s Last Theorem

Modular Forms and Fermat’s Last Theorem edited by Gary Cornell, Joseph H. Silverman, Glenn Stevens.

This volume contains expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held August 9 through 18, 1995 at Boston University. Contributor's includeThe purpose of the conference, and of this book, is to introduce and explain the many ideas...

Full description

Saved in:
Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Cornell, Gary (Editor), Silverman, Joseph H. (Editor), Stevens, Glenn (Editor)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 1997.
Edition:1st ed. 1997.
Series:Springer eBook Collection.
Subjects:
Number theory.
Algebraic geometry.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • I An Overview of the Proof of Fermat’s Last Theorem
  • II A Survey of the Arithmetic Theory of Elliptic Curves
  • III Modular Curves, Hecke Correspondences, and L-Functions
  • IV Galois Coharnology
  • V Finite Flat Group Schemes
  • VI Three Lectures on the Modularity of % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacuaHbpGCgaqea8aadaWgaaWcbaWdbiaadweacaGGSaGaaG4maaWd % aeqaaaaa!3A7D! $${{ bar{ rho }}_{{E,3}}}$$ and the Langlands Reciprocity Conjecture
  • VII Serre’s Conjectures
  • VIII An Introduction to the Deformation Theory of Galois Representations
  • IX Explicit Construction of Universal Deformation Rings
  • X Hecke Algebras and the Gorenstein Property
  • XI Criteria for Complete Intersections
  • XII ?-adic Modular Deformations and Wiles’s “Main Conjecture”
  • XIII The Flat Deformation Functor
  • XIV Hecke Rings and Universal Deformation Rings
  • XV Explicit Families of Elliptic Curves with Prescribed Mod NRepresentations
  • XVI Modularity of Mod 5 Representations
  • XVII An Extension of Wiles’ Results
  • Appendix to Chapter XVII Classification of % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacuaHbpGCgaqea8aadaWgaaWcbaWdbiaadweacaGGSaGaeS4eHWga % paqabaaaaa!3AF1! $${{ bar{ rho }}_{{E, ell }}}$$ by the jInvariant of E
  • XVIII Class Field Theory and the First Case of Fermat’s Last Theorem
  • XIX Remarks on the History of Fermat’s Last Theorem 1844 to 1984
  • XX On Ternary Equations of Fermat Type and Relations with Elliptic Curves
  • XXI Wiles’ Theorem and the Arithmetic of Elliptic Curves.

Similar Items