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.