Elliptic Curves, Hilbert Modular Forms and Galois Deformations
ISBN/ASIN: 3034806175,9783034806176 | 2013 | English | pdf | 262/257 pages | 4.08 Mb
Publisher: Birkhäuser | Author: Laurent Berger, Gebhard Böckle, Lassina Dembélé, Mladen Dimitrov, Tim Dokchitser, John Voight, Henri Darmon, Fred Diamond, Luis V. Dieulefait, Bas Edixhoven, Víctor Rotger | Edition: 2013
The notes in this volume correspond to advanced courses given at the Centre de Recerca Matemàtica (Bellaterra, Barcelona, Spain) as part of the Research Programme in Arithmetic Geometry in the 2009-2010 academic year. They are now available in printed form due to the many requests received by the organizers to make the content of the courses publicly available. The material covers the theory of p-adic Galois representations and Fontaine rings, Galois deformation theory, arithmetic and computational aspects of Hilbert modular forms, and the parity conjecture for elliptic curves.