Book contents
- Frontmatter
- Contents
- Preface
- List of contributors
- 1 Modular Forms
- 2 On the basis problem for Siegel modular forms with level
- 3 Mock theta functions, weak Maass forms, and applications
- 4 Sign changes of coefficients of half integral weight modular forms
- 5 Gauss map on the theta divisor and Green's functions
- 6 A control theorem for the images of Galois actions on certain infinite families of modular forms
- 7 Galois realizations of families of Projective Linear Groups via cusp forms
- 8 A strong symmetry property of Eisenstein series
- 9 A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences
- 10 Petersson's trace formula and the Hecke eigenvalues of Hilbert modular forms
- 11 Modular shadows and the Lévy—Mellin ∞—adic transform
- 12 Jacobi forms of critical weight and Weil representations
- 13 Tannakian Categories attached to abelian varieties
- 14 Torelli's theorem from the topological point of view
- 15 Existence of Whittaker models related to four dimensional symplectic Galois representations
- 16 Multiplying Modular Forms
- 17 On projective linear groups over finite fields as Galois groups over the rational numbers
Preface
Published online by Cambridge University Press: 08 October 2009
- Frontmatter
- Contents
- Preface
- List of contributors
- 1 Modular Forms
- 2 On the basis problem for Siegel modular forms with level
- 3 Mock theta functions, weak Maass forms, and applications
- 4 Sign changes of coefficients of half integral weight modular forms
- 5 Gauss map on the theta divisor and Green's functions
- 6 A control theorem for the images of Galois actions on certain infinite families of modular forms
- 7 Galois realizations of families of Projective Linear Groups via cusp forms
- 8 A strong symmetry property of Eisenstein series
- 9 A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences
- 10 Petersson's trace formula and the Hecke eigenvalues of Hilbert modular forms
- 11 Modular shadows and the Lévy—Mellin ∞—adic transform
- 12 Jacobi forms of critical weight and Weil representations
- 13 Tannakian Categories attached to abelian varieties
- 14 Torelli's theorem from the topological point of view
- 15 Existence of Whittaker models related to four dimensional symplectic Galois representations
- 16 Multiplying Modular Forms
- 17 On projective linear groups over finite fields as Galois groups over the rational numbers
Summary
This volume grew out of a very succesful conference on Modular Forms that was held in October 2006 on the Dutch island of Schiermonnikoog and that was organised with financial support from the Foundation Compositio Mathematica. For some of the participants the journey to the island was a long one, but once on the island this was soon forgotten, and we look back at a very pleasant conference in beautiful surroundings. We thank the Foundation Compositio Mathematica for making this conference possible.
The present volume contains, in addition to an introduction by the editors, sixteen refereed papers, not necessarily related to lectures at the conference. We thank all authors and all referees for their contributions.
- Type
- Chapter
- Information
- Modular Forms on Schiermonnikoog , pp. viiPublisher: Cambridge University PressPrint publication year: 2008