Title | Modular Forms and Fermat's Last Theorem [electronic resource] / edited by Gary Cornell, Joseph H. Silverman, Glenn Stevens |
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Imprint | New York, NY : Springer New York : Imprint: Springer, 1997 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1974-3 |
Descript | XIX, 582 p. online resource |
I An Overview of the Proof of Fermat's Last Theorem -- II A Survey of the Arithmetic Theory of Elliptic Curves -- III Modular Curves, Hecke Correspondences, and L-Functions -- IV Galois Coharnology -- V Finite Flat Group Schemes -- VI Three Lectures on the Modularity of % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacuaHbpGCgaqea8aadaWgaaWcbaWdbiaadweacaGGSaGaaG4maaWd % aeqaaaaa!3A7D! $${{\bar{\rho }}_{{E,3}}}$$ and the Langlands Reciprocity Conjecture -- VII Serre's Conjectures -- VIII An Introduction to the Deformation Theory of Galois Representations -- IX Explicit Construction of Universal Deformation Rings -- X Hecke Algebras and the Gorenstein Property -- XI Criteria for Complete Intersections -- XII ?-adic Modular Deformations and Wiles's โMain Conjectureโ -- XIII The Flat Deformation Functor -- XIV Hecke Rings and Universal Deformation Rings -- XV Explicit Families of Elliptic Curves with Prescribed Mod NRepresentations -- XVI Modularity of Mod 5 Representations -- XVII An Extension of Wiles' Results -- Appendix to Chapter XVII Classification of % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacuaHbpGCgaqea8aadaWgaaWcbaWdbiaadweacaGGSaGaeS4eHWga % paqabaaaaa!3AF1! $${{\bar{\rho }}_{{E,\ell }}}$$ by the jInvariant of E -- XVIII Class Field Theory and the First Case of Fermat's Last Theorem -- XIX Remarks on the History of Fermat's Last Theorem 1844 to 1984 -- XX On Ternary Equations of Fermat Type and Relations with Elliptic Curves -- XXI Wiles' Theorem and the Arithmetic of Elliptic Curves