Speaker
Franca Lippert
Description
We study equivariant primitives of Eisenstein series for principal congruence subgroups and show that they are precisely the corresponding non-holomorphic Eisenstein series. We present closed formulas that naturally generalise existing results for the full modular group. Building on this, we construct an equivariant analogue of double Eisenstein integrals for congruence subgroups. This construction generalizes the one for the full modular group. For the specific case of the group Γ(2), we further study the single-valued Gauss hypergeometric function and its relation to iterated integrals of weights 2 and 4.
