Modular Forms and Fermat's Last Theorem
by Gary Cornell, Joseph H. Silverman, Glenn Stevens
Fermat's last theoremCongressesElliptic CurvesModular Forms
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Open LibraryAbout this book
The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions, modular curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of Wiles' proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serre's conjectures, Galois deformations, universal deformation rings, Hecke algebras, complete intersections, and more, as the reader is led step-by-step through Wiles' proof. In recognition of the historical significance of Fermat's Last Theorem, the volume concludes by looking both forward and backward in time, 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 volume to be an indispensable resource for mastering the epoch-making proof of Fermat's Last Theorem.
Themes & subjects
Fermat's last theoremCongressesElliptic CurvesModular Forms
About the author
Gary Cornell
I got my Ph.D. in mathematics from Brown University in 1978. I started out as a pure mathematician in the “Queen of Mathematics” – number theory and that lasted for about 20 years. But then I left academia for good. Once I stopped teaching, I have, among other things, been a visiting scientist at IBM’s Watson Labs and a program director at the National Science Foundation. I’ve written or co-written many books about programming and taught programmers for more than 20 years. I’m most proud of the fact that I was the co-founder and CEO of Apress (www.apress.com) which I made the fastest growing publisher for IT professionals in the world during the period 2000-2007. Source: https://garycorn…
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