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math.KT2025
A motivic filtration on the topological cyclic homology of commutative ring spectra
Jeremy Hahn, Arpon Raksit, Dylan Wilson
For a prime number and a -quasisyntomic commutative ring , Bhatt--Morrow--Scholze defined motivic filtrations on the -completions of $\mathrm{THH}(R), \mathrm{TC}^{-}(…
math.KT2025
Syntomic cohomology of Morava K-theory
Gabriel Angelini-Knoll, Jeremy Hahn, Dylan Wilson
We compute the MU-based syntomic cohomologies, mod , of all -MU-algebra forms of connective Morava K-theory k(n). As qualitative consequences,…