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OverviewAutomorphic 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. Full Product DetailsAuthor: Fred Diamond (King's College London) , Payman L. Kassaei (King's College London) , Minhyong Kim (University of Oxford)Publisher: Cambridge University Press Imprint: Cambridge University Press Volume: 414 Dimensions: Width: 15.20cm , Height: 2.00cm , Length: 22.60cm Weight: 0.520kg ISBN: 9781107691926ISBN 10: 1107691923 Pages: 386 Publication Date: 16 October 2014 Audience: College/higher education , Tertiary & Higher Education Replaced By: 9781107693630 Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsPreface; 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.ReviewsAuthor InformationMinhyong Kim is a Professor of Number Theory at the University of Oxford. Fred Diamond is a Professor of Mathematics at King's College London. Payman Kassaei is an Associate Professor of Mathematics at McGill University, Montréal. Tab Content 6Author Website:Countries AvailableAll regions |
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