Drinfeld Modular Curves, Ernst-Ulrich Gekeler

Название: Introduction to Elliptic Curves and Modular Forms
ISBN: 1461269423 ISBN-13(EAN): 9781461269427
Издательство: Springer
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Цена: 7680.00 р.
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Описание: The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory.

Автор: Berger Laurent
Название: Elliptic Curves, Hilbert Modular Forms and Galois Deformatio
ISBN: 3034806175 ISBN-13(EAN): 9783034806176
Издательство: Springer
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Цена: 4191.00 р.
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Описание: This book details recent developments and major changes in Galois deformation theory during the last decade, including deformations of pseudo-representations, framed deformations, and groupoids.

Автор: John Cremona; Joan-Carles Lario; Jordi Quer; Kenne
Название: Modular Curves and Abelian Varieties
ISBN: 3034896212 ISBN-13(EAN): 9783034896214
Издательство: Springer
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Цена: 13974.00 р.
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Описание: It would be difficult to overestimate the influence and importance of modular forms, modular curves, and modular abelian varieties in the development of num- ber theory and arithmetic geometry during the last fifty years. These subjects lie at the heart of many past achievements and future challenges. For example, the theory of complex multiplication, the classification of rational torsion on el- liptic curves, the proof of Fermat's Last Theorem, and many results towards the Birch and Swinnerton-Dyer conjecture all make crucial use of modular forms and modular curves. A conference was held from July 15 to 18, 2002, at the Centre de Recerca Matematica (Bellaterra, Barcelona) under the title "Modular Curves and Abelian Varieties". Our conference presented some of the latest achievements in the theory to a diverse audience that included both specialists and young researchers. We emphasized especially the conjectural generalization of the Shimura-Taniyama conjecture to elliptic curves over number fields other than the field of rational numbers (elliptic Q-curves) and abelian varieties of dimension larger than one (abelian varieties of GL2-type).

Автор: David Loeffler; Sarah Livia Zerbes
Название: Elliptic Curves, Modular Forms and Iwasawa Theory
ISBN: 331945031X ISBN-13(EAN): 9783319450315
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Celebrating one of the leading figures in contemporary number theory - John H. Coates - on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations.