Local Gorenstein duality in chromatic group cohomology

We consider local Gorenstein duality for cochain spectra C⁎(BG;R) on the classifying spaces of compact Lie groups G over complex orientable ring spectra R. We show that it holds systematically for a large array of examples of ring spectra R, including Lubin-Tate theories, topological K-theory, and v...

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Bibliographic Details
Published in:Journal of pure and applied algebra 2023-11, Vol.227 (11), p.107422, Article 107422
Main Authors: Pol, Luca, Williamson, Jordan
Format: Article
Language:English
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Summary:We consider local Gorenstein duality for cochain spectra C⁎(BG;R) on the classifying spaces of compact Lie groups G over complex orientable ring spectra R. We show that it holds systematically for a large array of examples of ring spectra R, including Lubin-Tate theories, topological K-theory, and various forms of topological modular forms. We also prove a descent result for local Gorenstein duality which allows us to access further examples.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2023.107422