Automorphic Forms and Galois Representations
Automorphic Forms and Galois Representations
Payman L. Kassaei, King's College London
Minhyong Kim, University of Oxford
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
Product details
No date availablePaperback
9781107691926
386 pages
226 × 152 × 20 mm
0.52kg
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.
