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math.KT2024
Cyclotomic synthetic spectra
Benjamin Antieau, Noah Riggenbach
We define an -category of -typical cyclotomic synthetic spectra and prove that the motivic filtration on , defined by Bha…
math.KT2024
On the -theory of the -adic unit disk
Elden Elmanto, Noah Riggenbach
In this note, we study the -complete topological cyclic homology of the affine line relative to a ring which is smooth over a perfectoid ring . Denoting by $NTC(A; \mathb…