Laplace-eigenvalue equations for the space of modular iterated integrals

Abstract: One motivation for the definition of real analytic modular forms was due to their relation to modular graph functions. In this talk, we will provide a brief introduction to the space real analytic modular forms and then focus on the subspace of modular iterated integrals. In particular, we will look at the Laplace-eigenvalue equations associated to length two and length three modular iterated integrals. We will also discuss how these functions relate to the modular graph functions arising from string perturbation theory.

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