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Achim Krause: A spherical HKR theorem

Time: Tue 2022-02-08 14.15 - 16.00

Location: Zoom

Video link: Meeting ID: 921 756 1880

Participating: Achim Krause (University of Münster)

Abstract: The classical Hochschild–Kostant–Rosenberg theorem identifies Hochschild homology of a commutative ring which is smooth over the base field with its de Rham complex. In this talk, we provide a generalisation to topological Hochschild homology of commutative ring spectra, replacing the de Rham complex by an “\(\eta\)-deformed de Rham complex” which incorporates the \(E_\infty\) structure. Joint with Thomas Nikolaus.