Modular forms and their generalizations are one of the most central concepts in number theory. It took almost 300 years to cultivate the mathematics lying behind the classical (i.e. scalar) modular forms. All of the famous modular forms (e.g. Dedekind eta function) involve a multiplier, this multiplier is a 1-dimensional representation of the underlying group. This suggests that a natural generalization will be matrix valued multipliers, and their corresponding modular forms are called vector valued modular forms. These are much richer mathematically and more general than the (scalar) modular forms. In my talk, I will define and classify vector valued modular forms associated to any arbitrary multiplier. The connection between vector valued modular forms and Fuchsian differential equations, and the consequences of this connection will be explained.
Mittwoch, den 18. November 2015 um 11 Uhr c.t. Uhr, in INF 288, HS5 Mittwoch, den 18. November 2015 at 11 Uhr c.t., in INF 288, HS5
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Kohnen