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Automorphic Forms and Galois Representations

Volume 1

AUD$115.00 inc GST

Part of London Mathematical Society Lecture Note Series

V. Abrashkin, L. Berger, M. Vienney, M. Bertolini, F. Castella, H. Darmon, S. Dasgupta, K. Prasanna, V. Rotger, C. J. Bushnell, K. Buzzard, T. Gee, P.-H. Chaudouard, G. Chenevier, P. Colmez, G. Dospinescu
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  • Date Published: October 2014
  • availability: Available
  • format: Paperback
  • isbn: 9781107691926

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  • Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This two-volume collection arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic Forms and Galois Representations' in July 2011, the aim of which was to explore recent developments in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and representation theory, as well as recent progress on topics from anabelian geometry to p-adic Hodge theory and the Langlands program. The topics covered in volume one include the Shafarevich Conjecture, effective local Langlands correspondence, p-adic L-functions, the fundamental lemma, and other topics of contemporary interest.

    • Presents an assortment of p-adic methods in number theory and representation theory that will be of interest to researchers in the area
    • An exposition of recent progress in anabelian geometry, p-adic Hodge theory and the Langlands program
    • A proceedings arising from the highly prestigious LMS-EPSRC Durham Research Symposia series of conferences
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    Product details

    • Date Published: October 2014
    • format: Paperback
    • isbn: 9781107691926
    • length: 386 pages
    • dimensions: 226 x 152 x 20 mm
    • weight: 0.52kg
    • availability: Available
  • Table of Contents

    Preface
    List of contributors
    1. A semi-stable case of the Shafarevich conjecture V. Abrashkin
    2. Irreducible modular representations of the Borel subgroup of GL2(Qp) L. Berger and M. Vienney
    3. p-adic L-functions and Euler systems: a tale in two trilogies M. Bertolini, F. Castella, H. Darmon, S. Dasgupta, K. Prasanna and V. Rotger
    4. Effective local Langlands correspondence C. J. Bushnell
    5. The conjectural connections between automorphic representations and Galois representations K. Buzzard and T. Gee
    6. Geometry of the fundamental lemma P.-H. Chaudouard
    7. The p-adic analytic space of pseudocharacters of a profinite group and pseudorepresentations over arbitrary rings G. Chenevier
    8. La série principale unitaire de GL2(Qp): vecteurs localement analytiques P. Colmez
    9. Equations différentielles p-adiques et modules de Jacquet analytiques G. Dospinescu.

  • Editors

    Fred Diamond, King's College London
    Minhyong Kim is a Professor of Number Theory at the University of Oxford.

    Payman L. Kassaei, King's College London
    Fred Diamond is a Professor of Mathematics at King's College London.

    Minhyong Kim, University of Oxford
    Payman Kassaei is an Associate Professor of Mathematics at McGill University, Montréal.

    Contributors

    V. Abrashkin, L. Berger, M. Vienney, M. Bertolini, F. Castella, H. Darmon, S. Dasgupta, K. Prasanna, V. Rotger, C. J. Bushnell, K. Buzzard, T. Gee, P.-H. Chaudouard, G. Chenevier, P. Colmez, G. Dospinescu

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