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Rational commutative ring $G$-spectra

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Speaker: 
Magdalena Kedziorek
Zugehörigkeit: 
Nijmegen
Datum: 
Don, 2020-03-12 13:45 - 14:45
Location: 
MPIM Lecture Hall

The category of $G$-spectra, for any compact Lie group $G$ is very interesting, but at the same time very complicated. A big part of the interesting information comes from the internally encoded group action while one of the main complications comes from working over the integers. The first step in our understanding is to simplify this category by working over rationals. This removes the complexity coming from ordinary stable homotopy theory, while leaving much of the information about the group $G$. In this talk I will present algebraic models for rational $G$-spectra for various groups $G$ and discuss recent results concerning rational commutative ring $G$-spectra.

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