Local Gorenstein duality in chromatic group cohomology

Abstract

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.(c) 2023 Elsevier B.V. All rights reserved.

Keywords

• Gorenstein duality
• cohomology
• chromatic
• topology