2 problems

Local-to-global conjugacy conjecture. If $H\leq\operatorname{Aut}(\mathcal{T}_n)$ is locally conjugated into $M$, then $H$ is globally conjugated into $M$.

Let $k$ be a number field, and let $\phi(z)\in k(z)$ be a rational function of degree $d\geq 2$, defined over $k$. Let $L=k(t)$ be the function field, and define the generic arbore…