… calculations of Geisser–Levine [34] and Geisser–Hesselholt [30] of p-adic algebraic K-theory
and topological cyclic homology for smooth schemes in characteristic p. We do not know if …

… naturally appear from various forms of topological cyclic homology and maps between them.
… -Morrow-Nikolaus [1] on topological cyclic homology and in the book by Fargues-Fontaine [7…

… We offer a quick survey of (topological) cyclic homology and point out that the categorical
construction is applicable also in an \({\mathbb N}\)-algebra (aka. semi-ring or rig) setup. …

… Given an arbitrary derived k-scheme X, we can furthermore extend Hochschild and
periodic cyclic homology to sheaves EEk and EPk on X. Moreover, for all open qcqs derived …

… say, affine schemes. The reconcilliation between algebraic K-theory and de Rham cohomology
(in its various forms) is performed by cyclic homology, which is the subject of this course. …

… filtrations on the negative cyclic and periodic cyclic homologies of a scheme X with graded
pieces … for p-complete negative cyclic and periodic cyclic homology in the quasisyntomic case. …

… periodic topological cyclic homology of a scheme X, using topological Hochschild homology
and the Tate construction… That is a topological analogue of Connes–Tsygan periodic cyclic …

… cyclic and dihedral homology theory in schemes. We study the long exact sequence of cyclic
homology of scheme … study Moritaequivalence in cyclic homology of schemes and proof the …

… topological cyclic homology of a DG category over a perfect field k of characteristic p > 2 is
isomorphic to the (p-adically completed) periodic cyclic homology … any smooth scheme X over …

… schemes, additive categories and exact categories [21, 26]. The aim of the paper is twofold:
we construct coarse homology theories defining Hochschild and cyclic homology … homology. …