Automorphic properties of combinatorial generating functions
Speaker: Robert Osburn (UCD)
Date: Wed 6th April 2011
Location: Mathematical Sciences Seminar Room
An intriguing and almost completely unsolved problem is to understand the overlap between classes of q-hypergeometric series and automorphic forms. For example, we now know that each of Ramanujan's mock theta functions is the holomorphic part of a weak Maass form. In this talk, we provide a framework which generalizes recent work of Andrews and discuss automorphic properties of the associated q-hypergeometric series. This is joint work with Kathrin Bringmann and Jeremy Lovejoy.
(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)