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Elliptic Curves, Modular Forms and Fermat's Last Theorem, 2nd Edition (2010 re-issue)


Verlag: International Press of Boston, 2010
ISBN 10: 157146185X / ISBN 13: 9781571461858
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Titel: Elliptic Curves, Modular Forms and Fermat's ...

Verlag: International Press of Boston

Erscheinungsdatum: 2010

Einband: Soft cover

Zustand: New


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Inhaltsangabe: The conference, held at the Chinese University of Hong Kong, on which these proceedings are based 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. New paperback re-issue of the revised second edition. CONTENTS Foreword by John Coates and Shing-Tung Yau Fermat's Last Theorem (by H. Darmon, F. Diamond, R. Taylor) Characteristic distributions for non-torsion Lamda-modules (by P. Balister) On the symmetric square of a modular elliptic curve (by J. Coates, A. Sydenham) The refined conjecture of Serre (by Fred Diamond) Wiles minus epsilon implies Fermat (by Norm Elkies) Geometric Galois representations (by J.M. Fontaine, B. Mazur) On elliptic curves (by Gerhard Frey ) Complete intersections and Gorenstein rings (by H.W. Lenstra, Jr.) Homologic des courbes modulaires (by L. Merel) Irreducible Galois representation (by Kenneth A. Ribet) Mod p representations of elliptic curves (by K. Rubin, A. Silverberg) A review of non-Archimedean elliptic functions (by John Tate) On Galois representations associated to Hilbert modular forms II (by Richard Taylor)

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