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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.AT2021
Moduli stack of oriented formal groups and cellular motivic spectra over
Rok Gregoric
We exhibit a relationship between motivic homotopy theory and spectral algebraic geometry, based on the motivic -deformation picture of Gheorghe, Isaksen, Wang, Xu. More precise…
math.AT2021★ 1 cited
Moduli stack of oriented formal groups and the chromatic filtration
Rok Gregoric
We define a filtration by open substacks on the non-connective spectral moduli stack of formal oriented groups, which simultaneously encodes and relates the chromatic filtration of…