Rigidity in equivariant stable homotopy theory

I. Patchkoria (Universit├Ąt Bonn)

Monday 26th November, 2012 15:30-16:30 417

Abstract

The talk will start with a brief introduction in equivariant stable homotopy theory and a review of several models for the equivariant stable homotopy category. Then we will explain Schwede's rigidity theorem about the (non-equvariant) stable homotopy category. Finally, we will discuss our main result which is an equivariant generalization of Schwede's theorem at prime $2$. It says that for any finite abelian group $G$, the $2$-local G-equivariant stable homotopy category has a unique equivariant model in the sense of Quillen model categories.

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