Prismatic $F$-crystals and crystalline Galois representations

By B. Bhatt, Peter Scholze. Cambridge Journal of Mathematics, 2021

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Let $K$ be a complete discretely valued field of mixed characteristic $(0,p)$ with perfect residue field. We prove that the category of prismatic $F$-crystals on $\mathcal O_K$ is equivalent to the category of lattices in crystalline $G_K$-representations.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6e17d2cdf6378ad43db28adee8de3fca4f80afba