3 problems

Goncharov's conjecture. The element $B(x,y;z)$ belongs to ${\cal P}_4(E)$; equivalently, it is a linear combination of $4$-logarithms. The construction gives an element killed by…

Let $E$ be a field, let ${\cal H}_4(E)$ be the weight-four hyperlogarithmic space, and let $\delta_{2,2}:{\cal H}_4(E)\to\Lambda^2{\cal H}_2(E)$ be the component of $\delta_4$ in…

Let ${\cal H}_n(E)$ and ${\cal P}_n(E)$ be the hyperlogarithmic and polylogarithmic spaces, respectively, with coproduct $\delta_n$, and let $\mathbb{R}H_n$ and $\mathbb{R}P_n$ be…