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L-Functions and Galois Representations

£75.00

Part of London Mathematical Society Lecture Note Series

Massimo Bertolini, Henri Darmon, Samit Dasgupta, Gebhard Böckle, Kevin Buzzard, Christophe Cornut, Vinayak Vatsal, Fred Diamond, Haruzo Hida, Chandrashekhar Khare, Masato Kurihara, Robert Pollack, Otmar Venjakob, Andrei Yafaev, Matthew Emerton, Mark Kisin, Jan Nekovář, Marie-France Vignéras
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  • Date Published: December 2007
  • availability: In stock
  • format: Paperback
  • isbn: 9780521694155

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  • This collection of survey and research articles brings together topics at the forefront of the theory of L-functions and Galois representations. Highlighting important progress in areas such as the local Langlands programme, automorphic forms and Selmer groups, this timely volume treats some of the most exciting recent developments in the field. Included are survey articles from Khare on Serre's conjecture, Yafaev on the André-Oort conjecture, Emerton on his theory of Jacquet functors, Venjakob on non-commutative Iwasawa theory and Vigneras on mod p representations of GL(2) over p-adic fields. There are also research articles by: Böckle, Buzzard, Cornut and Vatsal, Diamond, Hida, Kurihara and R. Pollack, Kisin, Nekovář, and Bertolini, Darmon and Dasgupta. Presenting the very latest research on L-functions and Galois representations, this volume is indispensable for researchers in algebraic number theory.

    • Brings together important topics such as the local Langlands programme and automorphic forms
    • Indispensable for researchers in the area of L-functions and Galois representations
    • Includes state-of-the-art results
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    Product details

    • Date Published: December 2007
    • format: Paperback
    • isbn: 9780521694155
    • length: 576 pages
    • dimensions: 227 x 151 x 27 mm
    • weight: 0.772kg
    • contains: 15 b/w illus. 3 tables
    • availability: In stock
  • Table of Contents

    Preface
    List of participants
    1. Stark–Heegner points and special values of L-series Massimo Bertolini, Henri Darmon and Samit Dasgupta
    2. Presentations of universal deformation rings Gebhard Böckle
    Eigenvarieties Kevin Buzzard
    3. Nontriviality of Rankin-Selberg L-functions and CM points Christophe Cornut and Vinayak Vatsal
    4. A correspondence between representations of local Galois groups and Lie-type groups Fred Diamond
    5. Non-vanishing modulo p of Hecke L–values and application Haruzo Hida
    6. Serre's modularity conjecture: a survey of the level one case Chandrashekhar Khare
    7. Two p-adic L-functions and rational points on elliptic curves with supersingular reduction Masato Kurihara and Robert Pollack
    8. From the Birch and Swinnerton-Dyer Conjecture to non-commutative Iwasawa theory via the Equivariant Tamagawa Number Conjecture - a survey Otmar Venjakob
    9. The André-Oort conjecture - a survey Andrei Yafaev
    10. Locally analytic representation theory of p-adic reductive groups: a summary of some recent developments Matthew Emerton
    11. Modularity for some geometric Galois representations - with an appendix by Ofer Gabber Mark Kisin
    12. The Euler system method for CM points on Shimura curves Jan Nekovář
    13. Représentations irréductibles de GL(2,F ) modulo p Marie-France Vignéras.

  • Editors

    David Burns, King's College London
    David Burns is a Professor in the Department of Mathematics at King's College, London.

    Kevin Buzzard, Imperial College of Science, Technology and Medicine, London
    Kevin Buzzard is Professor of Pure Mathematics at the Imperial College, London.

    Jan Nekovář, Université de Paris VI (Pierre et Marie Curie)
    Jan Nekovář is a Professor in the Faculté de Mathématiques at the Université de Paris VI (Pierre et Marie Curie).

    Contributors

    Massimo Bertolini, Henri Darmon, Samit Dasgupta, Gebhard Böckle, Kevin Buzzard, Christophe Cornut, Vinayak Vatsal, Fred Diamond, Haruzo Hida, Chandrashekhar Khare, Masato Kurihara, Robert Pollack, Otmar Venjakob, Andrei Yafaev, Matthew Emerton, Mark Kisin, Jan Nekovář, Marie-France Vignéras

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