Elliptic Curves, Hilbert Modular Forms and Galois Deformations

• Main Authors: Berger, Laurent. (Author), Bc̲kle, Gebhard. (Author), Dembľ,̌ Lassina. (Author), Dimitrov, Mladen. (Author), Dokchitser, Tim. (Author), Voight, John. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhũser, 2013.
• Series: Advanced Courses in Mathematics - CRM Barcelona
• Subjects: Mathematics.; Algebra.; Geometry, algebraic.; Number theory.; Number Theory.; Algebraic Geometry.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0348-0618-3
• Physical Description: XII, 249 p. 11 illus., 2 illus. in color. online resource.
• ISBN: 9783034806183

The notes in this volume correspond to advanced courses given at the Centre de Recerca Matemt̉ica (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.