Elliptic Curves, Hilbert Modular Forms and Galois Deformations

• Main Authors: Berger, Laurent (Author), Böckle, Gebhard (Author), Dembélé, Lassina (Author), Dimitrov, Mladen (Author), Dokchitser, Tim (Author), Voight, John (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
• Series: Advanced Courses in Mathematics - CRM Barcelona
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Number theory.; Number Theory.; Algebraic Geometry.

The notes in this volume correspond to advanced courses held at the Centre de Recerca Matemàtica as part of the research program in Arithmetic Geometry in the 2009-2010 academic year. The notes by Laurent Berger provide an introduction to p-adic Galois representations and Fontaine rings, which are e...

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.