Modular Forms and Fermat's Last Theorem

Cornell, Gary [Editor]; Silverman, Joseph H. [Editor]; Stevens, Glenn [Editor]

ISBN 10: 0387989986 / ISBN 13: 9780387989983

Edité par Springer, 2000

A propos de cet article

First softcover printing. Ex-library book with traditional stamps and stickers. Wear including bumping and curling to edges. Binding still solid. All pages intact and free of marks. N° de réf. du vendeur 053125k06

Détails bibliographiques

Titre : Modular Forms and Fermat's Last Theorem

Éditeur : Springer

Date d'édition : 2000

Reliure : Soft cover

Etat : Good

Edition : 1st Edition

A propos de ce titre

Synopsis :

This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource.