Personal tools
You are here: Home / Events / Modularity of Kac Wakimoto characters

Modularity of Kac Wakimoto characters

Filed under:
Prof. Kathrin Bringmann (Köln University, Germany), 17 October 2012, 2:00 p.m., RISC seminar room
When Oct 17, 2012
from 02:00 PM to 03:30 PM
Where RISC seminar room
Add event to calendar vCal
iCal
Modularity of Kac Wakimoto characters

In joint work with Amanda Folsom, we resolve a question of Kac, and explain the automorphic properties of certain characters due to Kac and Wakimoto. We prove that they are essentially holomorphic parts of certain generalizations of harmonic weak Maass forms which we call “almost harmonic Maass forms”. Loosely speaking, such functions may be viewed as sums of harmonic weak Maass forms under iterates of the raising operator (themselves therefore non-harmonic weak Maass forms), multiplied by almost holomorphic modular forms.