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math.KT2020★ 1 cited
On étale motivic spectra and Voevodsky's convergence conjecture
Tom Bachmann, Elden Elmanto, Paul Arne Østvær
We prove a new convergence result for the slice spectral sequence, following work by Levine and Voevodsky. This verifies a derived variant of Voevodsky's conjecture on convergence…
math.KT2018★ 3 cited
Hermitian -theory, Dedekind -functions, and quadratic forms over rings of integers in number fields
Jonas Irgens Kylling, Oliver Röndigs, Paul Arne Østvær
We employ the slice spectral sequence, the motivic Steenrod algebra, and Voevodsky's solutions of the Milnor and Bloch-Kato conjectures to calculate the hermitian -groups of rin…