Modular forms on schiermonnikoog / edited by Bas Edixhoven, Gerard van der Geer, Ben Moonen.

Format:

Book

Contributor:

Edixhoven, B. (Bas), 1962- editor.

Geer, Gerard van der, editor.

Moonen, Ben, editor.

Language:

English

Subjects (All):

Forms, Modular--Congresses.

Forms, Modular.

Physical Description:

1 online resource (x, 350 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2008.

Language Note:

English

Summary:

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.

Contents:

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

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

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

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references.

ISBN:

1-107-18932-2

1-281-94486-6

9786611944865

0-511-45623-9

0-511-45754-5

0-511-45450-3

0-511-45352-3

0-511-54337-9

0-511-45553-4

OCLC:

437240839