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Thirteen ways of looking at an equivariant stable category

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HHHW01 - Higher structures in homotopy theory

Motivated both by new higher categorical foundations as well as the technology emerging from Hill-Hopkins-Ravenel, there has been a lot of recent work by various authors on formal characterizations of the equivariant stable category. In this talk, I will give an overview of this story, with focus on the perspective coming from the framework of N-infinity operads. In particular, I will describe incomplete stable categories of “O-spectra” associated to any N-infinity operad O as well as some indications of what we can say in the case when G is an infinite compact Lie group.

This talk is part of the Isaac Newton Institute Seminar Series series.

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