Modular forms on schiermonnikoog /

Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to flourish today. Modular forms formed the inspirati...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Edixhoven, B. (Bas), 1962-, Geer, Gerard van der, Moonen, Ben
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2008.
Temas:
Forms, Modular > Congresses.
Formes modulaires > Congrès.
MATHEMATICS > Number Theory.
Forms, Modular.
Conference papers and proceedings.
Acceso en línea:Texto completo

MARC

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245 0 0 |a Modular forms on schiermonnikoog /  |c edited by Bas Edixhoven, Gerard van der Geer, Ben Moonen. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2008. 
300 |a 1 online resource (x, 350 pages) :  |b illustrations 
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504 |a Includes bibliographical references. 
588 0 |a Print version record. 
520 |a Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to flourish today. Modular forms formed the inspiration for Langlands' conjectures and play an important role in the description of the cohomology of varieties defined over number fields. This collection of up-to-date articles originated from the conference 'Modular Forms' held on the Island of Schiermonnikoog in the Netherlands. A broad range of topics is covered including Hilbert and Siegel modular forms, Weil representations, Tannakian categories and Torelli's theorem. This book is a good source for all researchers and graduate students working on modular forms or related areas of number theory and algebraic geometry. 
505 0 |a Cover; Half-title; Title; Copyright; Contents; Preface; Contributors; Chapter 1 Modular Forms; Chapter 2 On the basis problem for Siegel modular forms with level; Chapter 3 Mock theta functions, weak Maass forms, and applications; Chapter 4 Sign changes of coefficients of half integral weight modular forms; Chapter 5 Gauss map on the theta divisor and Green's functions; Chapter 6 A control theorem for the images of Galois actions on certain infinite families of modular forms; Chapter 7 Galois realizations of families of Projective Linear Groups via cusp forms 
505 8 |a Chapter 8 A strong symmetry property of Eisenstein seriesChapter 9 A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences; Chapter 10 Petersson's trace formula and the Hecke eigenvalues of Hilbert modular forms; Chapter 11 Modular shadows and the Lévy-Mellin ...-adic transform; Chapter 12 Jacobi forms of critical weight and Weil representations; Chapter 13 Tannakian Categories attached to abelian varieties; Chapter 14 Torelli's theorem from the topological point of view 
505 8 |a Chapter 15 Existence of Whittaker models related to four dimensional symplectic Galois representationsChapter 16 Multiplying Modular Forms; Chapter 17 On projective linear groups over finite fields as Galois groups over the rational numbers 
546 |a English. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Forms, Modular  |v Congresses. 
650 6 |a Formes modulaires  |v Congrès. 
650 7 |a MATHEMATICS  |x Number Theory.  |2 bisacsh 
650 7 |a Forms, Modular.  |2 fast  |0 (OCoLC)fst00932983 
655 7 |a Conference papers and proceedings.  |2 fast  |0 (OCoLC)fst01423772 
700 1 |a Edixhoven, B.  |q (Bas),  |d 1962- 
700 1 |a Geer, Gerard van der. 
700 1 |a Moonen, Ben. 
776 0 8 |i Print version:  |t Modular forms on schiermonnikoog.  |d Cambridge : Cambridge University Press, 2008  |z 0521493544  |z 9780521493543  |w (OCoLC)237883376 
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