3 citations · 6 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
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…
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…
Moduli stack of oriented formal groups and periodic complex bordism
Rok Gregoric
We introduce and study the non-connective spectral stack , the moduli stack of oriented formal groups. We realize some results of chromatic homo…
The Devinatz-Hopkins Theorem via Algebraic Geometry
Rok Gregoric
In this note, we show how a continuous action of the Morava stabilizer group on the Lubin-Tate spectrum , satisfying the conclusion $E_n^{h\mathbb G_n}\simeq L_{…