Norbert Schappacher (Strasbourg), Marie-Françoise Roy (Rennes)
Johannes Brödel (Humboldt Universität zu Berlin)
While usual multiple zeta values carry the transcendentality in many results of calculations in quantum field theory as well as tree-level string theory, elliptic multiple zeta values take this role in several higher-loop calculations and - most prominently - in one-loop open-string amplitudes.
After a short review of multiple zeta values, I will introduce and describe their elliptic analogues. While discussing their appearance, properties and relations, I will explain the connection to iterated Eisenstein integrals and a special derivation algebra, which in turn allows to predict the number of indecomposable elements at given weight and length, thus leading to canonical representations of the results.