Title: Mock modular forms, Kac-Wakimoto characters, and asymptotics
Speaker: Amanda Folsom
Speaker Info: Yale University
Special Note: The speaker will give a preseminar talk for graduate students at 11 am in Lunt 102.
Kac and Wakimoto recently established certain character formulas arising from affine Lie superalgebras. In this talk, we will discuss the ``modularity" of these characters. In particular, we will discuss works of the author and Bringmann-Ono, which show that these characters may be realized as parts of certain non-holomorphic modular functions. As an application, we will then discuss joint work with Bringmann, which shows how the ``modularity" of these characters can be exploited to obtain improved information regarding their asymptotic behaviors.Date: Monday, April 25, 2011