International Seminar on Automorphic Forms

We study the slope of modular forms on the Siegel space. We will recover known divisors of  minimal slope for $g\leq5$ and we discuss the Kodaira dimension of the moduli space of principally polarized abelian varieties $A_g$ (and eventually of the generalized Kuga’s varieties). Moreover we illustrate the cone of moving divisors on $A_g$. Partly motivated by the generalized Rankin-Cohen bracket, we construct a non-linear holomorphic differential operator that sends Siegel modular forms to Siegel cusp forms, and we apply it to produce new modular forms. Our construction recovers the known divisors of minimal moving slope on $A_g$ for $g\leq5$.

Riccardo Salvati Manni (Sapienza University of Rome)

You can join the Zoom meeting at https://tu-darmstadt.zoom.us/j/68048280736

The password is the first Fourier coefficient of the modular j-function (as digits).