Speaker
Prof.
Leila Schneps
(Paris)
Description
By interpreting the pentagon equation defining the Grothendieck-Teichm¥"uller Lie algebra as a condition on the normal form of certain elements in the 5-strand Lie braid algebra, we show how the double shuffle defining equations arise naturally in grt. This gives an intrinsic and elementary proof of the injection of grt into double shuffle first shown by H. Furusho using double polylogarithms.
