New developments in the theory of modular forms over function fields

# Harmonic Hecke eigeinlines and Mazur's problem

speaker: Ian Wagner (Emory University)

abstract: We construct two families of harmonic Maass Hecke eigenforms. Using these families, we construct $p$-adic harmonic Maass forms in the sense of Serre. The $p$-adic properties of these forms answer a question of Mazur about the existence of an eigencurve-type" object in the world of harmonic Maass forms.

--Subject to change--

timetable:
Thu 8 Nov, 17:00 - 17:30, Aula Dini
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