Browsing Matematisk institutt by Author "Bachmann, Tom"

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  • Categorical Milnor squares and K-theory of algebraic stacks 
    Bachmann, Tom; Khan, Adeel A.; Ravi, Charanya; Sosnilo, Vladimir (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2022)
    We introduce a notion of Milnor square of stable ∞-categories and prove a criterion under which algebraic K-theory sends such a square to a cartesian square of spectra. We apply this to prove Milnor excision and proper ...
  • Topological models for stable motivic invariants of regular number rings 
    Bachmann, Tom; Østvær, Paul Arne (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2022)
    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 this to extend Morel’s identification of the ...