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Thirteen ways of looking at an equivariant stable category

Presented by: 
Andrew Blumberg University of Texas at Austin
Tuesday 3rd July 2018 - 16:00 to 17:00
INI Seminar Room 1
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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons