5 problems

Let $\widehat{\operatorname{GT}}$ be the profinite Grothendieck–Teichmüller group and let $G_\mathbb{Q}$ be the absolute Galois group of $\mathbb{Q}$. Grothendieck–Teichmüller conj…

Let $\widehat{\operatorname{GT}}$ be the profinite Grothendieck–Teichmüller group, defined using the first two levels of the genus-zero stage of the profinite Grothendieck–Teichmül…

Let $K_*=(K_n)_n$ be the tower of motivic groups arising from the moduli spaces $\mathcal{M}_{0,n}$, and let $\mathcal{R}_{\mathrm{Betti}}(K_*)$ and…

Let $D\simeq\mathcal{M}_{0,n_1}\times\mathcal{M}_{0,n_2}$ be a codimension-one boundary component, and let $K^{\bullet}_{\mathbb{Z},n_1,n_2}$ denote the geometric derived group ass…

Let $A(M^{\delta}_0)$ be the cooperadic algebra associated with Brown's compactified moduli spaces, let $\mathsf{coGer}$ be the coGerstenhaber cooperad, and let…