Detecting and describing ramification for structured ring spectra

DOI10.1017/s0017089523000083arXiv2101.12655OpenAlexW3126876261MaRDI QIDQ6052034

Eva Höning, Birgit Richter

Publication date: 23 October 2023

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.12655

zbMATH Keywords

topological Hochschild homologytopological modular formswild ramificationtame ramificationtopological André-Quillen homologyTate vanishing

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Algebraic numbers; rings of algebraic integers (11R04) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43)

Cites Work

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• Spectra of units for periodic ring spectra and group completion of graded \(E_\infty\) spaces
• Duality for topological modular forms
• Diagram spaces and symmetric spectra
• The homology of \(\mathrm{tmf}\)
• THH and base-change for Galois extensions of ring spectra
• Galois theory and Lubin-Tate cochains on classifying spaces
• Tate cohomology and periodic localization of polynomial functors
• A modular description of the \(K(2)\)-local sphere at the prime 3
• Localization sequences for logarithmic topological Hochschild homology
• Topological modular forms of level 3
• Topological André-Quillen homology for cellular commutative \(S\)-algebras
• Logarithmic topological Hochschild homology of topological \(K\)-theory spectra
• Homology and cohomology of \(E_\infty\) ring spectra
• The Tate spectrum \(v_ n\)-periodic complex oriented theories
• André-Quillen cohomology of commutative \(S\)-algebras
• Descent in algebraic \(K\)-theory and a conjecture of Ausoni-Rognes
• On the relationship between logarithmic TAQ and logarithmic THH
• Rings of modular forms and a splitting of \(\mathrm{TMF}_0(7)\)
• The \(C_2\)-spectrum \(\mathrm{Tmf}_1(3)\) and its invertible modules
• The Galois group of a stable homotopy theory
• Logarithmic structures on topological \(K\)-theory spectra
• Strictly Commutative Realizations of Diagrams Over the Steenrod Algebra and Topological Modular Forms at the Prime 2
• Courbes elliptiques: Formulaire
• On Ramification Theory in Noetherian Rings
• Topological Hochschild homology of connective complex K -theory
• On a nilpotence conjecture of J. P. May
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Tate cohomology lowers chromatic Bousfield classes
• Generalized Tate cohomology
• Operads and Γ-homology of commutative rings
• Normalbasis bei Körpern ohne höhere Verzweigung.
• A short proof of telescopic Tate vanishing
• Les Schémas de Modules de Courbes Elliptiques
• $E_\infty $-ring structures for Tate spectra
• Corrigendum: towards an understanding of ramified extensions of structured ring spectra
• Towards an understanding of ramified extensions of structured ring spectra
• Affineness and chromatic homotopy theory
• Algebraic K-theory of strict ring spectra
• Galois extensions of structured ring spectra. Stably dualizable groups
• Higher Topos Theory (AM-170)
• Topological modular forms with level structure

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