2 problems

Moduli-space conjecture. $\operatorname{Ran}({\frak{X}}^n)$ is a moduli space for all $n\geq 1$.

Fornaess–Stensønes basin conjecture. The basin $\Omega$ is always biholomorphic to $\mathbb C^m$. A positive answer would imply a positive answer to Bedford's stable-manifold conje…