Motivic Multiple Zeta Values and the Block Filtration
arXiv:2006.03003 · doi:10.1016/j.jnt.2021.10.006
Abstract
We extend the block filtration, defined by Brown based on the work of Charlton, to all motivic multiple zeta values, and study relations compatible with this filtration. We construct a Lie algebra describing relations among motivic multiple zeta values modulo terms of lower block degree, proving Charlton's cyclic insertion conjecture in this structure, and showing the existence of a `block shuffle' relation, and a previously unknown dihedral symmetry and differential relation.
23 pages, based on work in the author's doctoral thesis. Typo in statement of Corollary 2.9 corrected