Book Titles Elliptic Curves, Modular Forms, and Fermat’s Last Theorem, 2nd Ed.

Hardcover		Elliptic Curves, Modular Forms, and Fermat’s Last Theorem, 2nd Ed.
		ISBN: 1-57146-049-7 Year Published: 1997 Pages: 340 pages Binding: Hardcover List Price: $42.00 Sale Price: $15.00

Description: The conference on which these proceedings are based was held at the Chinese University of Hong Kong. It was organized in response to Andrew Wiles' conjecture that every elliptic curve over Q is modular. The final difficulties in the proof of the conjectural upper bound for the order of the Selmer group attached to the symmetric square of a modular form, have since been overcome by Wiles with the assistance of R. Taylor. The proof that every semi-stable elliptic curve over Q is modular is not only significant in the study of elliptic curves, but also due to the earlier work of Frey, Ribet, and others, completes a proof of Fermat's last theorem. Contents: Elliptic curves and modular forms Elliptic curves Modular curves and modular forms over C Hecke operators and Hecke theory The L-function associated to a cusp form Modular curves and modular forms over Q The Hecke algebra The Shimura construction The Shimura-Taniyama conjecture Galois theory Galois representations Representations associated to elliptic curves Galois cohomology Representations of GQl The theory of Fontaine and Laffaille Deformations of representations Deformations of Galois representations Special cases Modular forms and Galois representations From modular forms to Galois representations From Galois representations to modular forms Hecke algebras Isomorphism criteria The main theorem Applications Hecke algebras Full Hecke algebras Reduced Hecke algebras Proof of theorem 3.31 Proof of theorem 3.36 Homological results Commutative algebra Wiles' numerical criterion Basic properties of ФA and ηA Complete intersections and the Gorenstein condition The Congruence ideal for complete intersections Isomorphism theorems A resolution lemma A criterion for complete intersections Proof of Wiles' numerical criterion A reduction to characteristic l J-structures Editors: John Coates and Shing-Tung Yau To Order: Book Orders Book Sales - Great discounts on other popular titles!