Overview
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (21 chapters)
Keywords
About this book
Reviews
"The story of Fermat's last theorem (FLT) and its resolution is now well known. It is now common knowledge that Frey had the original idea linking the modularity of elliptic curves and FLT, that Serre refined this intuition by formulating precise conjectures, that Ribet proved a part of Serre's conjectures, which enabled him to establish that modularity of semistable elliptic curves implies FLT, and that finally Wiles proved the modularity of semistable elliptic curves.
The purpose of the book under review is to highlight and amplify these developments. As such, the book is indispensable to any student wanting to learn the finer details of the proof or any researcher wanting to extend the subject in a higher direction. Indeed, the subject is already expanding with the recent researches of Conrad, Darmon, Diamond, Skinner and others. ...
FLT deserves a special place in the history of civilization. Because of its simplicity, it has tantalized amateurs and professionalsalike, and its remarkable fecundity has led to the development of large areas of mathematics such as, in the last century, algebraic number theory, ring theory, algebraic geometry, and in this century, the theory of elliptic curves, representation theory, Iwasawa theory, formal groups, finite flat group schemes and deformation theory of Galois representations, to mention a few. It is as if some supermind planned it all and over the centuries had been developing diverse streams of thought only to have them fuse in a spectacular synthesis to resolve FLT. No single brain can claim expertise in all of the ideas that have gone into this "marvelous proof". In this age of specialization, where "each one of us knows more and more about less and less", it is vital for us to have an overview of the masterpiece such as the one provided by this book." (M. Ram Murty, Mathematical Reviews)
Editors and Affiliations
Bibliographic Information
Book Title: Modular Forms and Fermat’s Last Theorem
Editors: Gary Cornell, Joseph H. Silverman, Glenn Stevens
DOI: https://doi.org/10.1007/978-1-4612-1974-3
Publisher: Springer New York, NY
-
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York, Inc. 1997
Hardcover ISBN: 978-0-387-94609-2Published: 03 October 1997
Softcover ISBN: 978-0-387-98998-3Published: 14 January 2000
eBook ISBN: 978-1-4612-1974-3Published: 01 December 2013
Edition Number: 1
Number of Pages: XIX, 582
Topics: Number Theory, Algebraic Geometry