Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes

Understand

In this PhD thesis we study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions.

• Both classes of functions have been discovered very recently, and are involved in the computation of genus one superstring amplitudes.
• In particular, we obtain new results on the asymptotic expansion of these functions that allow us to perform explicit computations and point out analogies between genus zero and genus one amplitudes.