TY  - BOOK
AU  - Berger,Laurent
AU  - Bockle, Gebhard.
AU  - Dembele, Lassina.
AU  - Dimitrov, Mladen.
AU  - Dokchitser, Tim.
AU  - Voight, John.
TI  - Elliptic curves, Hilbert modular forms and Galois deformations
T2  - Advanced courses in mathematics, CRM Barcelona
SN  - 9783034806176 (hard cover : alk. paper)
U1  - 512.32 23
PY  - 2013///
CY  - New York
PB  - Springer
KW  - Galois theory.
KW  - Elliptic Curves
KW  - Hilbert modular surfaces
N1  - Includes bibliographical references; I. Galois Deformations. 
On p-adic Galois Representations / Laurent Berger --
Deformations of Galois Representations / Gebhard Böckle --

II. Hilbert Modular Forms. 
Arithmetic Aspects of Hilbert Modular Forms and Varieties / Mladen Dimitrov --
Explicit Methods for Hilbert Modular Forms / Lassina Dembélé, John Voight --

III. Elliptic Curves. 
Notes on the Parity Conjecture / Tim Dokchitser.
Bibliography

N2  - 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.
ER  -