Maria Valentino: Drinfeld quasi-modular forms of higher level

Abstract:

In this talk we will present some new and recent results on Drinfeld quasi-modular forms for Hecke congruence subgroups. In particular, we will provide representations as polynomials in the false Eisenstein series with modular coefficients, and as sums of hyperderivatives of Drinfeld modular forms (when possible). Finally, we will also give a formula for Hecke operators, proving that they preserve the space of Drinfeld quasi-modular forms of given weight and type.