2 citations · 4 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
On the -theory of
Benjamin Antieau, Achim Krause, Thomas Nikolaus
We give an explicit algebraic description, based on prismatic cohomology, of the algebraic K-groups of rings of the form where is a p-adic field and is a non-trivia…
On the K-theory of -- announcement
Benjamin Antieau, Achim Krause, Thomas Nikolaus
We announce new methods for using prismatic cohomology to compute the K-groups of and related rings. We use computer algebra methods to compute these K-groups thro…
The K-theory of perfectoid rings
Benjamin Antieau, Akhil Mathew, Matthew Morrow
We establish various properties of the p-adic algebraic K-theory of smooth algebras over perfectoid rings living over perfectoid valuation rings. In particular, the p-adic K-theory…
On a theorem of Hazrat and Hoobler
Benjamin Antieau
We use cycle complexes with coefficients in an Azumaya algebra, as developed by Kahn and Levine, to compare the G-theory of an Azumaya algebra to the G-theory of the base scheme. W…