3 papers
math.AT2025
Prismatization via spherical loop spaces
Rok Gregoric
We introduce Frobenius-untwists of the variants of topological cyclic homology, following Manam. Using these, we construct modifications of the free loop space over the sphere spec…
math.AG2025
Even periodization of spectral stacks
Rok Gregoric
We introduce the operation of even periodization on nonconnective spectral stacks. We show how to recover from it the even filtration of Hahn-Raksit-Wilson, and (a Nygaard-completi…
math.AG2024
Stone duality between condensed mathematics and algebraic geometry
Rok Gregoric
We extend Stone duality to a fully faithful embedding of condensed sets into fpqc sheaves over an arbitrary field, which preserves colimits and finite limits. We study how familiar…