Motivic stable stems and Galois approximations of cellular motivic categories

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-15
Primary Topic
Algebraic structures and combinatorial models
Type
article
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article

Motivic stable stems and Galois approximations of cellular motivic categories

ArXiv.org
Algebraic structures and combinatorial models
article

Motivic stable stems and Galois approximations of cellular motivic categories

article en

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 41%
Algebraic structures and combinatorial models
Open Access PDFOpenAlex
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Motivic stable stems and Galois approximations of cellular motivic categories · ArXiv.org (2025) | TGRS Research Map | TGRS