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.