Absolute prismatic cohomology
Bhargav Bhatt, Jacob Lurie
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.