An infinitesimal bialgebra related to multiple polylogarithms and q-multiple zeta values

Abstract: Multiple polylogarithms as well as some models of q-multiple zeta values (e.g. the Ohno-Okuda-Zudilin model) make sense for integer arguments of any sign. They are encoded by words with three letters p,d,y subject to pd=dp=1. We describe a comultiplication on the linear span of these words, which gives rise together with concatenation to an infinitesimal bialgebra structure. Then we will explore the compatibility of this comultiplication with the mixed-sign versions of the shuffle product. Based on joint works with J. Castillo-Medina, K. Ebrahimi-Fard and J. Singer.

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