43 citations · 129 across the 22 of their papers we have counts for
5 papers · 1 filter
Topological models for stable motivic invariants of regular number rings
Tom Bachmann, Paul Arne Østvær
For an infinity of number rings we express stable motivic invariants in terms of topological data determined by the complex numbers, the real numbers, and finite fields. We use thi…
The motivic Hopf map solves the homotopy limit problem for -theory
Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær
We solve affirmatively the homotopy limit problem for -theory over fields of finite virtual cohomological dimension. Our solution employs the motivic slice filtration and the fi…
Slices of hermitian K-theory and Milnor's conjecture on quadratic forms
Oliver Röndigs, Paul Arne Østvær
We advance the understanding of K-theory of quadratic forms by computing the slices of the motivic spectra representing hermitian K-groups and Witt-groups. By an explicit computati…
The homotopy fixed point theorem and the Quillen-Lichtenbaum conjecture in hermitian K-theory
A. J. Berrick, M. Karoubi, M. Schlichting +1
Let X be a noetherian scheme of finite Krull dimension, having 2 invertible in its ring of regular functions, an ample family of line bundles, and a global bound on the virtual mod…
Hermitian K-theory and 2-regularity for totally real number fields
A. J. Berrick, M. Karoubi, P. A. Østvær
We completely determine the 2-primary torsion subgroups of the hermitian K-groups of rings of 2-integers in totally real 2-regular number fields. The result is almost periodic with…