The classical Hochschild-Kostant-Rosenberg theorem identifies Hochschild homology of smooth algebras with the de Rham complex. In this talk, I want to explain a generalisation of this to topological Hochschild homology of nondiscrete ring spectra, where the role of the de Rham complex is taken by an "eta-deformed de Rham complex" which involves interesting homotopical information. |
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/10868