2 problems

Geometric Sen perfectoidness conjecture. The morphism $\theta_{\widetilde{X}}$ is surjective if and only if $\widetilde{X}$ is a perfectoid space.

Let $K$ be a complete discretely valued field of mixed characteristic $(0,p)$ with perfect residue field. Let ${\mathbb M}$ be a rational Hodge–Tate crystal in … with associated pa…