The 3rd MSJ-SI

The Mathematical Society of Japan, Seasonal Institute

Development of Galois-Teichmüller Theory
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.

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