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math.AG2023
Logarithmic prismatic cohomology, motivic sheaves, and comparison theorems
Federico Binda, Tommy Lundemo, Alberto Merici +1
We prove that (logarithmic) prismatic and (logarithmic) syntomic cohomology are representable in the category of logarithmic motives. As an application, we obtain Gysin maps for pr…
math.KT2023
Syntomic cohomology and real topological cyclic homology
Doosung Park
We define the motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complet…
math.KT2023★ 2 cited
Real Topological Hochschild Homology of Perfectoid Rings
Jens Hornbostel, Doosung Park
We refine several results of Bhatt-Morrow-Scholze on THH to THR. In particular, we compute THR of perfectoid rings. This will be useful for establishing motivic filtrations on real…