A Proof of the Full Shimura-Taniyama-Weil Conjecture Is Announced, Volume 46, Number 11
نویسنده
چکیده
On June 23, 1993, Andrew Wiles unveiled his strategy for proving the Shimura-Taniyama-Weil conjecture for semistable elliptic curves defined over the field Q of rational numbers. Thanks to the work of Gerhard Frey, Jean-Pierre Serre, and Kenneth Ribet, this was known to imply Fermat’s Last Theorem. Six years later Christophe Breuil, Brian Conrad, Fred Diamond, and Richard Taylor have finally announced a proof of the full ShimuraTaniyama-Weil conjecture for all elliptic curves over Q.
منابع مشابه
A Proof of the Full Shimura-Taniyama-Weil Conjecture Is Announced
On June 23, 1993, Andrew Wiles unveiled his strategy for proving the Shimura-Taniyama-Weil conjecture for semistable elliptic curves defined over the field Q of rational numbers. Thanks to the work of Gerhard Frey, JeanPierre Serre and Kenneth Ribet, this was known to imply Fermat’s Last Theorem. Six years later, Christophe Breuil, Brian Conrad, Fred Diamond, and Richard Taylor have finally ann...
متن کاملThe Shimura-taniyama Conjecture and Conformal Field Theory
The Shimura-Taniyama conjecture states that the Mellin transform of the Hasse-Weil Lfunction of any elliptic curve defined over the rational numbers is a modular form. Recent work of Wiles, Taylor-Wiles and Breuil-Conrad-Diamond-Taylor has provided a proof of this longstanding conjecture. Elliptic curves provide the simplest framework for a class of CalabiYau manifolds which have been conjectur...
متن کاملA Report on Wiles’ Cambridge Lectures
In lectures at the Newton Institute in June of 1993, Andrew Wiles announced a proof of a large part of the Taniyama-Shimura Conjecture and, as a consequence, Fermat’s Last Theorem. This report for nonexperts discusses the mathematics involved in Wiles’ lectures, including the necessary background and the mathematical history.
متن کاملA Report on Wiles ' Cambridge Lecturesk
In lectures at the Newton Institute in June of 1993, Andrew Wiles announced a proof of a large part of the Taniyama-Shimura Conjecture and, as a consequence, Fermat's Last Theorem. This report for non-experts discusses the mathematics involved in Wiles' lectures, including the necessary background and the mathematical history.
متن کاملThe Shimura-taniyama Conjecture
ferred to in the literature as the Shimura-Taniyama-Weil conjecture, the Taniyama-Shimura conjecture, the Taniyama-Weil conjecture, or the modularity conjecture, it postulates a deep connection between elliptic curves over the rational numbers and modular forms. It has now been almost completely proved thanks to the fundamental work of A. Wiles and R. Taylor [W], [TW], and its further refinemen...
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تاریخ انتشار 1993