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The spectrum of Artin motives

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arxiv 2401.02722 v2 pith:LVFHEXWW submitted 2024-01-05 math.AG math.CTmath.RT

Paul Balmer , Martin Gallauer This is my paper · ORCID
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We analyze the tt-geometry of derived Artin motives, via modular representation theory of profinite groups. To illustrate our methods, we discuss Artin motives over a finite field, in which case we also prove stratification.

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  1. Modular fixed points in equivariant homotopy theory

    math.AT 2025-06 conditional novelty 8.0 of 10

    The derived ∞-category of permutation modules is equivalent to modules over the Eilenberg-MacLane spectrum of the constant Mackey functor, and the equivariant modular fixed point functor recovers Balmer-Gallauer's, gi...

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