Elliptic curves, Hilbert modular forms and Galois deformations / Laurent Berger, Gebhard Böckle, Lassina Dembélé, Mladen Dimitrov, Tim Dokchitser, John Voight ; editors for this volume: Henri Darmon, McGill University, Fred Diamond, King's College London, Luis V. Dieulefait, Universitat de Barcelona, Bas Edixhoven, Universiteit Leiden, Victor Rotger, Universitat Politècnica de Catalunya.

Author/creator Berger, Laurent, 1976-
Format Electronic
Publication InfoBasel ; New York : Birkhäuser/Springer, [2013]
Descriptionxii, 249 pages : illustrations ; 25 cm.
Supplemental ContentFull text available from Springer Books
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2013 English International
Subjects
Galois theory.
Curves, Elliptic.
Hilbert modular surfaces.

Other author/creatorBöckle, Gebhard, 1964-
Other author/creatorDembélé, Lassina.
Other author/creatorDimitrov, Mladen.
Other author/creatorDokchitser, Tim.
Other author/creatorVoight, John.
Other author/creatorDarmon, Henri, 1965-
Other author/creatorDiamond, Fred.
Other author/creatorDieulefait, Luis.
Other author/creatorEdixhoven, B. (Bas), 1962-
Other author/creatorRotger, Victor.
SeriesAdvanced courses in mathematics CRM Barcelona
Advanced courses in mathematics, CRM Barcelona. ^A520935
Contents On p-adic Galois representations / Laurent Berger -- Deformations of Galois representations / Gebhard Böckle -- Arithmetic aspects of Hilbert modular forms and varieties / Mladen Dimitrov -- Explicit methods for Hilbert modular forms / Lassina Dembélé, John Voight -- Notes on the parity conjecture / Tim Dokchitser.
Abstract 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 -- Publisher's website.
Bibliography noteIncludes bibliographical references.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2013941399
ISBN9783034806176 (pbk. : alk. paper)
ISBN3034806175 (pbk. : alk. paper)
ISBN9783034806183 (ebk.)

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