3 problems

Let $\Phi^{\mathfrak{m}}(x,y)$ be the motivic version of the modified Drinfeld associator, and let $\Phi(x,y)$ be the corresponding modified Drinfeld associator defined in the sour…

A KV solution is a solution of the Kashiwara–Vergne equations, and an associator is a Drinfel'd associator satisfying the pentagon and hexagon equations. Alekseev–Torossian conject…

Let $\mathsf{GRT}_1$ be the Grothendieck–Teichmüller group, let $a,g\in\mathsf{GRT}_1$ be the elements described above, and let $\{\sigma_3,\sigma_5,\dots\}\subset\mathfrak{grt}_1$…