4 problems

Let $\Lambda[\pi(0)]$-modules be modules associated with the break-zero part of the relevant $p$-adic representation-theoretic filtration. A module is pure of break zero when its S…

Let $G/\mathbb{Q}_p$ be a reductive group, let $[\mu]$ be a minuscule conjugacy class of cocharacters of $G_{\overline{\mathbb{Q}}_p}$, and let $b\in G(\breve{\mathbb{Q}}_p)$ repre…

Let $X$ be a smooth $p$-adic analytic Artin stack, and let $L(X)$ denote its associated light condensed anima. Clausen's conjecture. Étale-locally, $L(X)$ is a light profinite anim…

The $C_{\rm dR}$ and $C_{\rm st}$ conjectures.