Automorphic forms and Galois representations

Author(s)

Bibliographic Information

Automorphic forms and Galois representations

edited by Fred Diamond, Payman L. Kassaei, Minhyong Kim

（London Mathematical Society lecture note series, 414-415）

Cambridge University Press, 2014

  • v. 1 : pbk
  • v. 2 : pbk

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Note

Papers presented at the London Mathematical Society, and EPSRC (Great Britain Engineering and Physical Sciences Research Council), Symposium on Galois Representations and Automorphic Forms, held at the University of Durham from July 18-28, 2011

Includes bibliographical references

Description and Table of Contents

Volume

v. 1 : pbk ISBN 9781107691926

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.

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 serie principale unitaire de GL2(Qp): vecteurs localement analytiques P. Colmez
  • 9. Equations differentielles p-adiques et modules de Jacquet analytiques G. Dospinescu.
Volume

v. 2 : pbk ISBN 9781107693630

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 two include curves and vector bundles in p-adic Hodge theory, associators, Shimura varieties, the birational section conjecture, and other topics of contemporary interest.

Table of Contents

  • Preface
  • List of contributors
  • 1. On the local structure of ordinary Hecke algebras at classical weight one points M. Dimitrov
  • 2. Vector bundles on curves and p-adic Hodge theory L. Fargues and J.-M. Fontaine
  • 3. Around associators H. Furusho
  • 4. The stable Bernstein center and test function for Shimura varieties T. J. Haines
  • 5. Conditional results on the birational section conjecture over small number fields Y. Hoshi
  • 6. Blocks for mod p representations of GL2(Qp) V. Paskunas
  • 7. From etale P+-representations to G-equivariant sheaves on G/P P. Schneider, M.-F. Vigneras and G. Zabradi
  • 8. Intertwining of ramified and unramified zeros of Iwasawa modules C. Khare and J.-P. Wintenberger.

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