Kawamata's movable cone conjecture for Calabi–Yau manifolds

Let $Y$ be a Calabi–Yau manifold, and let $\overline{\mathrm{Mov}}^+(Y)$ denote the rational hull of its closed movable cone. A pseudo-automorphism of $Y$ is a small modification $Y \dashrightarrow Y$, meaning a birational map that is an isomorphism away from a subset of codimension at least $2$; write $\operatorname{PsAut}(Y)$ for the group of pseudo-automorphisms. Kawamata's movable cone conjecture. The action of $\operatorname{PsAut}(Y)$ on $\overline{\mathrm{Mov}}^+(Y)$ admits a rational polyhedral fundamental domain. This generalizes the nef cone conjecture by replacing the nef cone with the movable cone, which is invariant under small modifications such as flops. Its status is not specified in the source.