Fermat's Last Theorem : Basic Tools
Presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the greatest achievements in the history of mathematics. Crucial arguments, including the so-called $3$-$5$ trick, $R=T$ theorem, are explained in depth.
Print Book, Undefined, 2015
American Mathematical Society, [s.l.], 2015
434 S.
9781470422165, 1470422166
1030397331
Contents for Fermat's Last Theorem: Basic ToolsSynopsisElliptic curvesModular formsGalois representationsThe 3-5 trick$R=T$Commutative algebraDeformation ringsAppendix A. Supplements to scheme theoryBibliographySymbol indexSubject indexContents for Fermat's Last Theorem: The ProofModular curves over $\mathbf{Z}$Modular forms and Galois representationsHecke modulesSelmer groupsAppendix B. Curves over discrete valuation ringsAppendix C. Finite commutative group scheme over $\mathbf{Z}_p$Appendix D. Jacobian of a curve and its Neron modelBibliographySymbol indexSubject index