Speaker
Johannes Broedel
Description
The second half of the talk opens up a new perspective on eMZVs based on
their dependence on the modular parameter of the elliptic curve. A
differential equation gives rise to an alternative description of eMZVs
in terms of iterated integrals over Eisenstein series. The resulting
counting of indecomposable eMZVs ties in with Fay and shuffle relations
and leads to selection rules among the occurring iterated Eisenstein
integrals. When formulated in terms of non-commutative variables, these
selection rules reproduce all known commutator relations from an algebra
of special derivations on a free Lie algebra.
