Motivic stable stems and Galois approximations of cellular motivic categories

2025/03/15 by Tom Bachmann, Robert Burklund, Bachmann, Tom +3 · 1 voice · 2 citations
#math.AG #math.AT #math.KT

paper · pdf · doi:10.48550/arxiv.2503.12060

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.

Cited by

• Periodic phenomena in stable motivic homotopy theory
• Motivic Homotopy Groups of Spheres and Free Summands of Stably Free Modules

Discussions

• Having some feelings today. This amazing and very exciting preprint completely settles a (generalization of a) problem I started working on ~17 years ago as part of my PhD thesis. Kudos to the authors [bsky, 20 points, 1 comments]

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