Remarks on \(K(1)\)-local \(K\)-theory

DOI10.1007/s00029-020-00566-6zbMath1454.19004arXiv2001.11622OpenAlexW3034548103MaRDI QIDQ2190739

Bhargav Bhatt, Dustin Clausen, Akhil Mathew

Publication date: 22 June 2020

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11622

zbMATH Keywords

algebraic \(K\)-theorytopological cyclic homologyprismatic cohomology

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Computations of higher (K)-theory of rings (19D50)

Related Items (6)

Algebraic geometry in mixed characteristic ⋮ Some recent advances in topological Hochschild homology ⋮ Hyperdescent and étale \(K\)-theory ⋮ On -local ⋮ The \(\text{K}\)-theory of perfectoid rings ⋮ Analogs of Dirichlet \(L\)-functions in chromatic homotopy theory

Cites Work

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• On the K-theory of algebraically closed fields
• On the \(K\)-theory spectrum of a ring of algebraic integers
• On topological cyclic homology
• Integral \(p\)-adic Hodge theory
• Topological \(K\)-theory of algebraic \(K\)-theory spectra
• A universal characterization of higher algebraic \(K\)-theory
• Descent in algebraic \(K\)-theory and a conjecture of Ausoni-Rognes
• On the \(K\)-theory of pullbacks
• The norm map of Witt vectors
• Topological Hochschild homology and integral \(p\)-adic Hodge theory
• On the cohomology and K-theory of the general linear groups over a finite field
• The Galois group of a stable homotopy theory
• 𝐾(1)-local 𝐸_{∞}-ring spectra
• Algebraic $K$-theory and etale cohomology
• Localized stable homotopy of some classifying spaces
• Crystalline conjecture via K-theory
• Galois extensions of structured ring spectra. Stably dualizable groups
• Filtered topological cyclic homology and relative \(K\)-theory of nilpotent ideals

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