Modular Forms on Schiermonnikoog
Modular Forms on Schiermonnikoog
Bas Edixhoven, Universiteit Leiden
Gerard van der Geer, Universiteit van Amsterdam
Ben Moonen, Universiteit van Amsterdam
Gerard van der Geer, Universiteit van Amsterdam
Ben Moonen, Universiteit van Amsterdam
December 2008
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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.
- Collection of articles by leaders in the field; presents the state of the art in modular forms
- Topics covered include Siegel modular forms, Hecke eigenvalues of Hilbert modular forms, Weil representations, Tannakian categories and Torelli's theorem
- Ideal for academic researchers and graduate students in number theory and algebraic geometry; string theorists will also find the collection of interest
Product details
December 2008Adobe eBook Reader
9780511451423
0 pages
0kg
20 tables
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Preface
- Contributors
- 1. Modular forms Bas Edixhoven, Gerard van der Geer and Ben Moonen
- 2. On the basis problem for Siegel modular forms with level Siegfried Böcherer, Hidenori Katsurada and Rainer Shulze-Pillot
- 3. Mock theta functions, weak Maass forms, and applications Kathrin Bringmann
- 4. Sign changes of coefficients of half integral weight modular forms Jan Hendrik Bruinier and Winfried Kohnen
- 5. Gauss map on the theta divisor and Green's functions Robin de Jong
- 6. A control theorem for the images of Galois actions on certain infinite families of modular forms Luis Dieulefait
- 7. Galois realizations of families of Projective Linear Groups via cusp forms Luis Dieulefait
- 8. A strong symmetry property of Eisenstein series Bernhard Heim
- 9. A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences Tomoyoshi Ibukiyama
- 10. Petersson's trace formula and the Hecke eigenvalues of Hilbert modular forms Andrew Knightly and Charles Li
- 11. Modular shadows and the Lévy-Mellin ∞-adic transform Yuri I. Manin and Matilde Marcolli
- 12. Jacobi forms of critical weight and Weil representations Nils-Peter Skoruppa
- 13. Tannakian categories attached to abelian varieties Rainer Weissauer
- 14. Torelli's theorem from the topological point of view Rainer Weissauer
- 15. Existence of Whittaker models related to four dimensional symplectic Galois representations Rainer Weissauer
- 16. Multiplying modular forms Martin H. Weissman
- 17. On projective linear groups over finite fields Gabor Wiese.
