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18 papers
The prismatization of -adic formal schemes
Bhargav Bhatt, Jacob Lurie
In this note, we introduce and study the Cartier--Witt stack attached to a -adic formal scheme as well as some variants. In particular, we reinterpret the…
Absolute prismatic cohomology
Bhargav Bhatt, Jacob Lurie
The goal of this paper is to study the absolute prismatic cohomology of -adic formal schemes. We do so by recasting the notion of a prismatic crystal on $\mathrm{Spf}(\mathbf{Z}…
Associative algebras and broken lines
Jacob Lurie, Hiro Lee Tanaka
Inspired by Morse theory, we introduce a topological stack Broken, which we refer to as the moduli stack of broken lines. We show that Broken can be presented as a Lie groupoid wit…
Revisiting the de Rham-Witt complex
Bhargav Bhatt, Jacob Lurie, Akhil Mathew
The goal of this paper is to offer a new construction of the de Rham-Witt complex of smooth varieties over perfect fields of characteristic . We introduce a category of cochai…
A Riemann-Hilbert correspondence in positive characteristic
Bhargav Bhatt, Jacob Lurie
We explain a version of the Riemann-Hilbert correspondence for -torsion étale sheaves on an arbitrary -scheme.
Derived Algebraic Geometry VI: E_k Algebras
Jacob Lurie
In this paper, we study algebras over the little cubes operads introduced by Boardman and Vogt, using the formalism of higher category theory.