Speaker
Description
The motivic coaction of multiple zeta values and multiple polylogarithms encodes both structural insights on and computational methods for scattering amplitudes in a variety of quantum field theories and in string theory. I will report on work in progress with Franziska Porkert and Oliver Schlotterer where we propose coaction formulae for iterated integrals over holomorphic Eisenstein series that arise from configuration-space integrals at genus one. Our proposal is motivated by formal similarities between the motivic coaction and the single-valued map of multiple polylogarithms at genus zero that are exposed in their recent reformulations via zeta generators. The proposed genus-one coaction is constructed by analogy with the construction of single-valued iterated Eisenstein integrals via zeta generators at genus one and subjected to various checks.
