2 problems

Let $G$ be a relatively hyperbolic group whose boundary is a topological Schottky set. Hruska–Walsh conjecture. Such groups are all conjectured to be virtually discrete subgroups o…

Higher regularity conjecture. The map $f$ is conformal at every point $p\in S$ and belongs to $C^{\infty}(S)$; that is, derivatives of all orders exist on $S$ in the sense of the d…