Extended modularity and deformation of Riemann surfaces

Abstract: I will discuss modular-type functions arising from the classical theory of uniformizing differential equations and the deformation of Riemann surfaces. These functions are components of vector-valued modular forms associated to extensions of symmetric tensor representations of Fuchsian groups. In the easiest case, they can be described in terms of derivatives of Eichler integrals and quasimodular forms.

number theory

Audience: researchers in the topic

Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October