4 papers · 1 filter
Normed motivic spectra and power operations
Tom Bachmann, Elden Elmanto, Jeremiah Heller
We use motivic colimits to construct power operations on the homotopy groups of normed motivic spectra admitting a (normed) map from HF_2. We establish enough of their standard pro…
Splitting results for normed motivic spectra
Tom Bachmann, Elden Elmanto, Jeremiah Heller
We prove that the universal normed motivic spectrum of characteristic 2 over a scheme on which 2 is a unit, splits into a sum of motivic Eilenberg--MacLane spectra.
A descent view on Mitchell's theorem
Elden Elmanto, Denis Nardin, Lucy Yang
In this short note, we given a new proof of Mitchell's theorem that for . Instead of reducing the problem to delicate representation th…
THH and TC are (very) far from being homotopy functors
Elden Elmanto
We compute the -localization of several invariants of schemes namely, topological Hochschild homology (), topological cyclic homology () an…