Generalised modular functions and their characters

by Prof. Winfried Kohnen (University of Heidelberg, Germany.)

Friday 17 Sept 2010, 14:30 → 15:30 Asia/Kolkata

AG-69 (Colaba Campus)

Generalized modular functions are holomorphic functions on the complex upper half-plane that satisfy the usual transformation formula of a classical modular functions, with the sole exception that the character need not be unitary. The theory partly is motivated from CFT in Physics. We will report on very recent joint work (2010) with G. Mason on the characters and Fourier coefficients of such functions.