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Elliptic curves, Hilbert modular forms and Galois deformations / Laurent Berger...[at el.].

By: Berger, Laurent.
Contributor(s): Bockle, Gebhard | Dembele, Lassina | Dimitrov, Mladen | Dokchitser, Tim | Voight, John.
Material type: TextTextSeries: Advanced courses in mathematics, CRM Barcelona.Publisher: New York : Springer, 2013Description: xii, 249 p. ; ill.ISBN: 9783034806176 (hard cover : alk. paper).Subject(s): Galois theory | Elliptic Curves | Hilbert modular surfacesDDC classification: 512.32
Contents:
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.
Summary: 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.
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Item type Current location Call number Status Date due Barcode Item holds
Books Books ISI Library, Kolkata
 
512.32 B495 (Browse shelf) Available 135483
Total holds: 0

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.

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.

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