5 papers
Frobenius--Witt cotangent complex for derived rings
Zhouhang Mao
Shimada recently showed that Frobenius--Witt cotangent complex, the animation of Saito's Frobenius--Witt differentials, vanishes on perfectoid rings, thus it serves as a candidate…
Around Segal conjecture in p-adic geometry
Zhouhang Mao
This article records multiple results coming from interplay between de-completed topological periodic cyclic homology, Segal conjecture, and F-smoothness. We establish completeness…
Noncommutative relative de Rham--Witt complex via the norm
Zhouhang Mao
In [Ill79], Illusie constructed de Rham-Witt complex of smooth -algebras R, which computes the crystalline cohomology of R, a -lift of the de Rham cohomol…
Equivariant aspects of de-completing cyclic homology
Zhouhang Mao
Derived de Rham cohomology turns out to be important in -adic geometry, following Bhatt's discovery [Bha12] of conjugate filtration in char , de-Hodge-completing results in […
Prismatic logarithm and prismatic Hochschild homology via norm
Zhouhang Mao
In this brief note, we present an elementary construction of the first Chern class of Hodge--Tate crystals in line bundles using a refinement of the prismatic logarithm, which shou…