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arXiv · 2201.06120

Absolute prismatic cohomology

Bhargav Bhatt·Jacob Lurie
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Abstract

The goal of this paper is to study the absolute prismatic cohomology of $p$-adic formal schemes. We do so by recasting the notion of a prismatic crystal on $\mathrm{Spf}(\mathbf{Z}_p)$ in terms of quasicoherent sheaves on a geometric object we call the Cartier-Witt stack.

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Bhargav Bhatt, Jacob Lurie. 2022-01-16. Absolute prismatic cohomology. https://arxiv.org/abs/2201.06120

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