Mock modular forms and Kac-Wakimoto characters

Seminar: 
Number Theory
Event time: 
Monday, February 13, 2012 - 11:30am to Sunday, February 12, 2012 - 7:00pm
Location: 
431 DL
Speaker: 
Amanda Folsom
Speaker affiliation: 
Yale
Event description: 

We address a question of V. Kac, and explain the automorphic properties of certain characters due to V. Kac and M. Wakimoto. We prove that these characters are essentially holomorphic parts of (generalizations of) harmonic weak Maass forms. As a corollary, we obtain an explicit asymptotic expansion. This is joint work with Kathrin Bringmann (University of Cologne).