Speaker
Claudia Alfes
Description
We show that the algebraicity of Fourier coefficients of harmonic weak Maass forms of negative half-integral weight is related to the algebraicity of the coefficients of certain canonical meromorphic modular forms of positive even weight with poles at Heegner divisors. We also present a conjecture relating these results to the vanishing of central L-derivatives of integral weight cusp forms. Moreover, we give an explicit formula for the coefficients of harmonic Maass forms in terms of periods of certain meromorphic modular forms with algebraic coefficients. This is joint work with Jan Bruinier and Markus Schwagenscheidt.
