Fermat's Last Theorem: Basic ToolsAmerican Mathematical Soc., 1 nov. 2013 - 200 pages This book, together with the companion volume, Fermat's Last Theorem: The Proof, presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of mathematics. |
Table des matières
Modular forms | 35 |
Galois representations | 81 |
13 | 88 |
26 | 94 |
40 | 100 |
52 | 108 |
The 35 trick | 111 |
R T | 119 |
Commutative algebra | 143 |
65 | 150 |
Deformation rings | 159 |
Appendix A Supplements to scheme theory | 171 |
| 189 | |
70 | 192 |
| 197 | |
58 | 127 |
Expressions et termes fréquents
A-module ap(E ap(f bijective Chapter coefficients commutative group scheme complete local O-algebra conditions are equivalent Corollary curve over Q cyclotomic character define defined definition denoted discrete valuation ring étale commutative group exists EZ(p field finite extension finite flat commutative finitely generated free flat commutative group following conditions form f form of level functor G-torsor Galois representation geometric fiber GLn(A Hecke algebra Hecke operators injective isomorphism class kernel l-adic representation Lemma let F lifting mod l representation modular curves modular forms modular of level morphism morphism of schemes odd prime open subscheme positive integer prime number primitive form profinitely profinitely generated complete projective limit Proof of Proposition proof of Theorem q-expansion quotient reduction modulo residue field ring homomorphism ring of integers satisfies satisfies condition satisfies the following semistable elliptic curve subgroup suffices suffices to show Suppose surjection of RTM-triples surjective Tate module Theorem 0.3 unramified