The Betti side of double shuffle relations

Seminar on periods and motives

Organizers：

Jin Cao (THU), Ma Luo (ECNU), Jie Zhou (THU)

Speaker：

Prof. Hidekazu Furusho (Nagoya University)

Time：

Friday, 9:30-10:30 am, Oct. 25, 2024

Venue：

C654, Shuangqing Complex Building

Title：

The Betti side of double shuffle relations

Abstract:

This lecture presents joint work with Enriquez, addressing the Betti side of Racinet's study on double shuffle relations for multiple zeta values. While Racinet's work primarily focused on the 'de Rham side', our research develops the previously unexplored 'Betti side' of the theory. We will introduce the construction of the Betti counterpart to the double shuffle group, demonstrating how this complements and extends Racinet's original framework. The key contribution of our work lies in revealing the "stabilizer interpretation" of the double shuffle group.