### On higher weight analogs of the Steinberg relation, by Thomas Wenger

In this paper we consider higher weight analogs of the Steinberg
relation when rational K-theory is calculated by a cochain complex
supporting a product. The universal scheme on which such questions can
be asked is the projective line minus three points over the rational
integers. The problem then translates into questions about the
structure of the motivic fundamental group of this variety. We
approach it through Ihara's description of the Galois image in the Lie
algebra of derivations on the Lie algebra of the geometric fundamental
group with respect to a suitable base-point.

Thomas Wenger <wengerth@math.northwestern.edu>