A motivic filtration on the topological cyclic homology of commutative ring spectra

Jeremy Hahn, Arpon Raksit, Dylan Wilson

For a prime number $p$ and a $p$-quasisyntomic commutative ring $R$, Bhatt--Morrow--Scholze defined motivic filtrations on the $p$-completions of $\mathrm{THH}(R), \mathrm{TC}^{-}(…