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math.AG2026
The logarithmic - and -topologies
Nikolai Opdan, Doosung Park, Paul Arne Østvær
We introduce the - and -topologies in the context of logarithmic geometry and discuss their applications to log étale cohomology, log differential forms, and log motives.
math.AG2024
On the logarithmic slice filtration
Federico Binda, Doosung Park, Paul Arne Østvær
We consider slice filtrations in logarithmic motivic homotopy theory. Our main results establish conjectured compatibilities with the Beilinson, BMS, and HKR filtrations on (topolo…
math.AG2023
Logarithmic Prismatic Cohomology via Logarithmic THH
Federico Binda, Tommy Lundemo, Doosung Park +1
Inspired by Bhatt-Morrow-Scholze's work on , we define Nygaard-completed log prismatic cohomology based on log topological Hochschild homology via filtrations on log ${\…