In mixed characteristic and in equal characteristic pp we define a filtration on topological
Hochschild homology and its variants. This filtration is an analogue of the filtration of …

We construct a new cohomology theory for proper smooth (formal) schemes over the ring of
integers of C p C_p. It takes values in a mixed-characteristic analogue of Dieudonné …

In a previous paper, we constructed a category of (phi, Gamma)-modules associated to any
adic space over Q_p with the property that the etale (phi, Gamma)-modules correspond to …

Using topological cyclic homology, we give a refinement of Beilinson'sp-adic Goodwillie
isomorphism between relative continuous K-theory and cyclic homology. As a result, we …

We relate various approaches to coefficient systems in relative integral $ p $-adic Hodge
theory, working in the geometric context over the ring of integers of a perfectoid field. These …

The Ainf-cohomology in the semistable case Page 1 The Ainf-cohomology in the semistable
case Kęstutis Cesnavicius and Teruhisa Koshikawa Compositio Math. 155 (2019), 2039–2128 …

We show that the logarithmic version of the syntomic cohomology of Fontaine and Messing
for semistable varieties over p-adic rings extends uniquely to a cohomology theory for …

We give a new definition, simpler but equivalent, of the abelian category of Banach–Colmez
spaces introduced by Colmez, and we explain the precise relationship with the category of …

This work is devoted to the study of integral $ p $-adic Hodge theory in the context of Artin
stacks. For a Hodge-proper stack, using the formalism of prismatic cohomology, we establish …

On any smooth algebraic variety over a $ p $-adic local field, we construct a tensor functor
from the category of de Rham $ p $-adic\'etale local systems to the category of filtered …