Elliptic multiple zeta values and a special derivation algebra

15.04.2016, 11.00  –  Haus 9, Raum 2.22
Arbeitsgruppenseminar Analysis

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.