Finite and symmetric multiple zeta values associated with 2-colored rooted trees

Abstract: In my recent study, we introduced so called 2-colored rooted tree, which is a kind of combinatorial object, and finite multiple zeta values associated with it, and gave a formula of them in terms of the usual finite multiple zeta values. From the viewpoint of Kaneko–Zagier conjecture, it is expected that there exists an analogous theory for the symmetric multiple zeta values.

In this talk, we review the theory of finite multiple zeta values associated with 2-colored rooted trees, and we give a symmetric counterpart. Moreover, we give the analogous formula for them in terms of the usual symmetric multiple zeta values. If time permits, we explain that the same formula holds in the harmonic algebra. This talk is partially based on the joint work with Shin-ichiro Seki and Shuji Yamamoto.

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