Professor Ribet of the Mathematics Dept. at the University of California, Berkeley summarizes the broad outlines of the proof of Fermat's last theorem. The proof depends on a construction of G. Frey which associated an implausible elliptic curve to each solution to Fermat's equation. A recent theorem of A. Wiles shows that the elliptic curve in question is "modular", i.e. is derived from a modular form. A theorem proved in 1986 allows one to obtain a contradiction ... it prevents the implausible elliptic curve from being modular.
"Professor Ribet of the Mathematics Dept. at the University of California, Berkeley summarizes the broad outlines of the proof of Fermat's last theorem. The proof depends on a construction of G. Frey which associated an implausible elliptic curve to each solution to Fermat's equation. A recent theorem of A. Wiles shows that the elliptic curve in question is "modular", i.e. is derived from a modular form. A theorem proved in 1986 allows one to obtain a contradiction ... it prevents the implausible elliptic curve from being modular."@en
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