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

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 or...

Table of Contents:

• Part I: Galois Deformations
• On p-adic Galois Representations
• Deformations of Galois Representations
• Part II: Hilbert Modular Forms
• Arithmetic Aspects of Hilbert Modular Forms and Varieties
• Explicit Methods for Hilbert Modular Forms
• Part III: Elliptic Curves
• Notes on the Parity Conjecture.