Toward multiple zeta values cycles

We will review the setting of Bloch-Kriz cycle complex over the
projective line minus three points.
We will then show how to recover in this context the algebraic cycles
associated to the classical polylogarithms
using a pull-back by the multiplication on the affine line.

For a low weight example, we will explain how a twisted multiplication
map allows to build more general cycles.
We will conclude by showing how  a multiple zeta value arises from
the Gangl-Goncharov-Levin seesaw process.