In this talk first a physical motivation is given, why one would like to integrate iteratively over rational functions on elliptic curves and why one needs a generalisation of multiple polylogarithms for this. Then a way to define elliptic multiple polylogarithms is presented, that is particularly useful for physicists. The equivalence of this definition and the elliptic multiple polylogarithms from mathematics literature is shown afterwards.
Reference: 1712.07089