Block graded relations among multiple zeta values

Abstract: Based on the results of Charlton, we introduce a new filtration on the space of motivic multiple zeta values, called the block filtration. Considering the associated graded algebra, we are able to provide a complete set of explicit generators for the block graded motivic Lie algebra and establish several new families of (block graded) relations, including a new shuffle relation, a dihedral symmetry, and mysterious differential relation. Furthermore, we can show that, in low block degree, these provide a complete set of relations among motivic multiple zeta values.

number theory

Audience: researchers in the topic

Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October