• Corpus ID: 238259164

# On \'etale motivic spectra and Voevodsky's convergence conjecture

@inproceedings{Bachmann2020OnM,
title={On \'etale motivic spectra and Voevodsky's convergence conjecture},
author={Tom Bachmann and Elden Elmanto and Paul arne Ostvaer},
year={2020}
}
• Published 9 March 2020
• Mathematics
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 of the slice spectral sequence. This is, in turn, a necessary ingredient for our main theorem: a Thomason-style étale descent result for the Bott-inverted motivic sphere spectrum, which generalizes and extends previous étale descent results for special examples of motivic cohomology theories. Combined with first…

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