Drinfeld's lemma for perfectoid spaces and overconvergence of multivariate $(\phi ,\Gamma )$-modules

Annie Carter, Kiran S. Kedlaya, Gergely Zábrádi

Let $p$ be a prime, let $K$ be a finite extension of ${\mathbb{Q}}_p$, and let $n$ be a positive integer. We construct equivalences of categories between continuous $p$-adic represen…