Rubin, K., and Silverberg, A., A report on Wiles' Cambridge lectures, Bulletin of the AMS, to appear. Home/Search Document Details and Download
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The Shimura-Taniyama conjecture (d'apres Wiles) - Darmon (2000) (Correct)
....brie y indicate some of the features of Wiles general strategy at the end. We do not say anything about the well known connection between the Shimura Taniyama conjecture and Fermat s Last Theorem, which is amply documented, for example in the excellent survey articles [Co] Gou] Ri4] RH] [RS]. This paper is entirely expository. It owes everything to the ideas of Wiles, and to a course he and his students gave at Princeton University in the Spring semester 1994. I would also like to thank Brian Conrad, Fred Diamond, Ravi Ramakrishna, Ken Ribet, Anna Rio, Richard Taylor and Larry ....
....the proof of inequality (10) and hence of thm. 1.2. 5 Wiles general strategy We conclude by brie y mentionning Wiles strategy for proving the ShimuraTaniyama conjecture for a large class of elliptic curves, containing all of the semi stable ones. This can also be found in other surveys, e.g. [RS], Gou] 1. If E is an arbitrary (semistable) elliptic curve over Q, to get the machinery of Wiles going one needs to know that E p is modular for some prime p. It was conjectured by Serre [Sr3] that any odd representation with values in GL 2 (F p ) arises from a modular form with apropriate ....
Rubin, K., and Silverberg, A., A report on Wiles' Cambridge lectures, Bulletin of the AMS, to appear.
From Dynamics on Surfaces to Rational Points on Curves - McMullen (1999) (1 citation) (Correct)
....) 0 except in dimensions p = 0 and p = 3 [Maz1, p. 538] Ideas from number theory can also inform research on 3 manifolds; for examples, see Reznikov s papers on arithmetic topology [Rez1] Rez2, x14] 7 Notes x1. The proof of Fermat s last theorem appears in [Wi] TW] for surveys, see [RS], Ri] and [DDT] x2. Thurston s classification of surface diffeomorphisms is outlined in [Th1] and developed in detail in [FLP] here we present Bers complex analytic approach [Bers] Mumford s compactness theorem appears in [Mum] for a related result due to Weil, see [Wl1] For more about the ....
K. Rubin and A. Silverberg. A report on Wiles' Cambridge lectures. Bull. Amer. Math. Soc. 31(1994), 15--38.
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