We give a short proof of Kaledin’s theorem on the degeneration of the noncommutative Hodge-to-de Rham spectral sequence. Our approach is based on topological Hochschild homology and the theory of cyclotomic spectra. As a consequence, we also obtain relative versions of the degeneration theorem, both in characteristic zero and for regular bases in characteristic .
"Kaledin's degeneration theorem and topological Hochschild homology." Geom. Topol. 24 (6) 2675 - 2708, 2020. https://doi.org/10.2140/gt.2020.24.2675