and Anabelian Geometry

October 29 Friday, 16:00--16:50 | |

H. Furusho
(Nagoya University)
Geometric interpretation of double shuffle relations of multiple
polylogarithms at roots of unity
| |

I will give a geometric interpretation of the generalized (including the regularization relation) double shuffle relation for multiple -values. I will explain that Enriquez' mixed pentagon equation implies the relations. As a corollary, an embedding from his cyclotomic analogue of Grothendieck-Teichmüller group into Racinet's cyclotomic double shuffle group is obtained, which extends my provious result. |