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On 6 October Wiles asked three colleagues (including Gerd Faltings) to review his new proof, [19] and on 24 October 1994 Wiles submitted two manuscripts, "Modular elliptic curves and Fermat's Last Theorem" [4] and "Ring theoretic properties of certain Hecke algebras", [5] the second of which Wiles had written with Taylor and proved that certain ...
Discusses various material which is related to the proof of Fermat's Last Theorem: elliptic curves, modular forms, Galois representations and their deformations, Frey's construction, and the conjectures of Serre and of Taniyama–Shimura. Shay, David (2003). "Fermat's Last Theorem". Archived from the original on 2012-02-27
Wiles's proof of Fermat's Last Theorem; Proof of Fermat's Last Theorem for specific exponents This page was last edited on 12 January 2014, at 22:57 (UTC). ...
The strategy that ultimately led to a successful proof of Fermat's Last Theorem arose from the "astounding" [137]: 211 Taniyama–Shimura–Weil conjecture, proposed around 1955—which many mathematicians believed would be near to impossible to prove, [137]: 223 and was linked in the 1980s by Gerhard Frey, Jean-Pierre Serre and Ken Ribet to ...
Gerhard Frey (German:; born 1 June 1944) is a German mathematician, known for his work in number theory.Following an original idea of Hellegouarch, [1] he developed the notion of Frey–Hellegouarch curves, a construction of an elliptic curve from a purported solution to the Fermat equation, that is central to Wiles's proof of Fermat's Last Theorem.
Sir Andrew John Wiles (born 11 April 1953) is an English mathematician and a Royal Society Research Professor at the University of Oxford, specialising in number theory.He is best known for proving Fermat's Last Theorem, for which he was awarded the 2016 Abel Prize and the 2017 Copley Medal and for which he was appointed a Knight Commander of the Order of the British Empire in 2000. [1]
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The latter formulation has been used in the proof of the conjecture. Dealing with the level of the forms (and the connection to the conductor of the curve) is particularly delicate. The most spectacular application of the conjecture is the proof of Fermat's Last Theorem (FLT). Suppose that for a prime p ≥ 5, the Fermat equation