Prismatic crystals and crystalline Galois representations

Abstract: Let $K$ be a complete discrete valuation field of mixed characteristic with perfect residue field. We prove that F-crystals on the prismatic site of $\mathcal{O}_K$ are equivalent to lattices in crystalline $G_K$-representations. (joint with Bhargav Bhatt)

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

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