Abstract
The principal aim of this article is to sketch the proof of the following famous assertion.
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References
Carayol, H.: Sur les représentations galoisiennes modulo P attachées aux formes modulaires. Duke Math. J. 59 (1989), 785–801.
Darmon, H., Diamond, F., Taylor, R. L.: Fermat’s Last Theorem. In Current Developments in Mathematics, 1995, International Press. To appear.
Deligne, P.: Formes modulaires et représentation f-adiques. Sém. Bourbaki, 1968/69, Exposé 355. Lect. Notes in Math. 179 (1971), 139–172.
Deligne, P., Serre, J.-P.: Formes modulaires de poids 1. Ann. Sci. E.N.S. 7 (1974), 507–530.
Diamond, F.: On deformations rings and Hecke rings. Ann. of math.. To appear.
Diamond, F.: The Taylor-Wiles construction and multiplicity one. Invent. Math.. To appear.
Frey, G.: Links between solutions of A — B = C and elliptic curves. In Number Theory, proceedings of the Journees arithmetiques, held in Ulm, 1987, H.P. Schlickewei, E. Wirsing, editors. Lecture notes in mathematics 1380. Springer-Verlag, Berlin, New York, 1989.
Frey, G.: Links between stable elliptic curves and certain Diophantine equations. Ann. Univ. Saraviensis, Ser. Math. 1 (1986), 1–40.
Hellegouarch, Y.: Points d’ordre 2ph sur les courbes elliptiques. Acta. Arith. 26 (1974/75), 253–263.
Mazur, B.: Deforming Galois representations. In Galois groups over Q: proceedings of a workshop held March 23–27, 1987, Y. Ihara, K. Ribet, J.-P. Serre, editors. Mathematical Sciences Research Institute publications 16. Springer-Verlag, New York,1989, pp. 385–437.
Mazur, B.: Modular curves and the Eisenstein ideal. Publ. Math. I.H.E.S. 47 (1977), 33–186.
Murty, V.K.: Modular elliptic curves. in Seminar on Fermat’s Last Theorem. Canadian Math. Soc. Conf. Proc. 17, 1995.
Ribet, K.A.: On modular representations of Gal(Q/Q) arising from modular forms. Invent. math. 100 (1990), 431–476.
Oesterlé, J.: Travaux de Wiles (et Taylor,…), Partie II. Asterisque 237 (1996), 333–355.
Serre, J.-P.: Propriétés galoisiennes des points d’ordre fini des courbes elliptiques. Invent. Math. 15 (1972), 259–331.
Serre, J.-P.: Sur les représentations modulaires de degré 2 de Gal(Q/Q), Duke Math. J. 54 (1987), 179–230.
Serre, J.-P.: Travaux de Wiles (et Taylor,…), Partie I. Asterisque 237 (1996), 319–332.
Taylor, R. L., Wiles, A.: Ring theoretic properties of certain Hecke algebras. Annals of Math. 141 (1995), 553–572.
Vojta, P.: Diophantine Approximations and Value Distribution Theory. Lect. Notes in Math. 1239, 1987
Wiles, A.: Modular elliptic curves and Fermat’s Last Theorem. Annals of Math. 141 (1995), 443–551.
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Stevens, G. (1997). An Overview of The Proof of Fermat’s Last Theorem. In: Cornell, G., Silverman, J.H., Stevens, G. (eds) Modular Forms and Fermat’s Last Theorem. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1974-3_1
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DOI: https://doi.org/10.1007/978-1-4612-1974-3_1
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