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.