# Generalized Modular Functions

 JOINT IAS/PU NUMBER THEORY SEMINAR Topic: Generalized Modular Functions Speaker: Winfried Kohnen Affiliation: University of Heidelberg Date: Thursday, February 4 Time/Room: 4:30pm - 5:30pm/S-101

Generalized modular functions are holomorphic functions on the complex upper half-plane, meromorphic at the cusps that satisfy the usual definition of a modular function, however with the important exception that the character need not be unitary. The theory is partly motivated from conformal field theory in physics. In my talk I will report on recent joint work with G. Mason on properties of their Fourier coefficients and characters.