The motivic Galois group and alternating multiple zeta values

Abstract: Motivic alternating multiple zeta values are signed analogues of motivic multiple zeta values. In this talk, we introduce alternating analogues of the confluence relations, and show that they give all linear relations among motivic alternating multiple zeta values. Furthermore we explain that this result gives a complete answer to a Z[1/2] analogue of a well-known open conjecture that the motivic Galois group of mixed Tate motives over Z coincides with Grothendieck-Teichmüller group. This is a joint work with Nobuo Sato at National Taiwan University.

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