Some recent advances in topological Hochschild homology - Mathew - 2022 - Bulletin of the
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This volume introduces equivariant homotopy, homology, and cohomology theory, along
with various related topics in modern algebraic topology. It explains the main ideas behind …

Algebraic K-theory encodes important invariants for several mathematical disciplines,
spanning from geometric topology and functional analysis to number theory and algebraic …

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 prove that Waldhausen-theory, when extended to a very general class of
quasicategories, can be described as a Goodwillie differential. In particular,-theory spaces …

Twenty years ago Bloch,[B1], introduced the complex C.(A; p) of p-typical curves in K-theory
and outlined its connection to the crystalline cohomology of Berthelot-Grothendieck …

In recent years, the study of the algebraic K-theory space K (R) of a ring R has been
approached by the introduction of spaces with a more homological flavor. One collection of …

We describe the topological Hochschild homology of ring spectra that arise as Thom spectra
for loop maps f: X→ BF, where BF denotes the classifying space for stable spherical …

The purpose of this paper is twofold. Firstly, it gives a thorough treatment of the de Rham–
Witt complex for Z (p)-algebras, a construction we first considered in [L. Hesselholt, I …

The memoir presents a systematic study of rational S1-equivariant cohomology theories,
and a complete algebraic model for them. It provides a classification of such cohomology …