4 papers · 1 filter
The Lichtenbaum-Quillen dimension of complex varieties
Nicolas Addington, Elden Elmanto
The Lichtenbaum-Quillen conjecture for smooth complex varieties states that algebraic and topological K-theory with finite coefficients become isomorphic in high degrees. We define…
Motivic Steenrod operations at the characteristic via infinite ramification
Toni Annala, Elden Elmanto
We construct motivic power operations on the mod- motivic cohomology of $\Fb_p$-schemes using a motivic refinement of NizioÅ's theorem. The key input is a purity theorem for mo…
On filtered algebraic -theory of stacks I: characteristic zero
Elden Elmanto, Dmitry Kubrak, Vladimir Sosnilo
Given a compact Lie group acting on a space , the classical Atiyah-Segal completion theorem identifies topological -theory of the homotopy quotient with an explicit…
Unstable motivic and real-étale homotopy theory
Aravind Asok, Tom Bachmann, Elden Elmanto +1
We prove that for any base scheme , real étale motivic (unstable) homotopy theory over coincides with unstable semialgebraic topology over (that is, sheaves of spaces o…