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  3. Automorphic Forms and Galois Representations
  • Please note: In this volume the numbered Theorems, Propositions, Definitions etc., in each contribution carry the chapter number rather than starting at 1.1 in each case. We apologize for any confusion.
  • Cited by 3
Publisher:
Cambridge University Press
Online publication date:
October 2014
Print publication year:
2014
Online ISBN:
9781107446335
DOI:
https://doi.org/10.1017/CBO9781107446335
Subjects:
Mathematics (general), Mathematics, Number Theory, Geometry and Topology
Series:
London Mathematical Society Lecture Note Series (414)
Information

Book description

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.

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