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Motivic stable stems and Galois approximations of cellular motivic categories

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arxiv 2503.12060 v1 pith:EIILQXTZ submitted 2025-03-15 math.AG math.ATmath.KT

Tom Bachmann , Robert Burklund , Zhouli Xu This is my paper · ORCID
classification math.AGmath.ATmath.KT
keywords motiviccategoriescellularfieldsgaloisstablestemsabsolute
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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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  1. Periodic phenomena in stable motivic homotopy theory

    math.AT 2026-07 unverdicted novelty 2.0 of 10

    A survey of periodic phenomena in stable motivic homotopy theory, organizing known motivic Adams spectral sequence computations and open problems; no new theorem is proven.

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