Motivic stable stems and Galois approximations of cellular motivic categories

Published 15 Mar 2025 in math.AG, math.AT, and math.KT | (2503.12060v1)

Abstract: We reconstruct (appropriately completed) categories of cellular motivic spectra over fields of small cohomological dimension in terms of only their absolute Galois groups. As our main application, we determine the motivic stable stems (away from the characteristic) of almost all fields.

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