2 problems

Chiarellotto–Tsuzuki conjecture. All slopes of the log-growth filtration $V(M)^\bullet$ are rational, and

Let $T$ be a finite free $\mathbb{Z}_p$-module equipped with a continuous $G_K$-action. For $r>0$, define … Let $D^r_{K_\infty}(T)^{\operatorname{an}}$ be the set of uniformly $r$-…