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Chromatic structures in stable homotopy theory

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arxiv 1901.09004 v2 pith:EQ5PT6KY submitted 2019-01-25 math.AT

Tobias Barthel , Agnès Beaudry This is my paper · ORCID
classification math.AT
keywords chromatichomotopystabletheoryalongcategorycomputationaldevelopments
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In this survey, we review how the global structure of the stable homotopy category gives rise to the chromatic filtration. We then discuss computational tools used in the study of local chromatic homotopy theory, leading up to recent developments in the field. Along the way, we illustrate the key methods and results with explicit examples.

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  1. A lift from group cohomology to spectra for trivial profinite actions

    math.AT 2019-08 accept novelty 7.0 of 10

    For profinite groups G acting trivially on a spectrum X, the paper gives conditions under which X^{hG} is weakly equivalent to the colimit over finite quotients of X^{hG/N}.

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