EVENT DETAILS AND ABSTRACT

Title: Rigidity in equivariant stable homotopy theory
Speaker: Irakli Patchkoria
Speaker Info: Universitat Bonn
Brief Description:
Special Note:
Abstract:

Let G be a finite abelian group or finite (non-abelian) 2-group. We show that the 2-local G-equivariant stable homotopy category, indexed on a complete G-universe, has a unique G-equivariant model in the sense of Quillen model categories. This means that the suspension functor, homotopy cofiber sequences and the stable Burnside category determine all ``higher order structure" of the 2-local G-equivariant stable homotopy category such as for example equivariant homotopy types of function G-spaces. The theorem can be seen as an equivariant generalization of Schwede's rigidity theorem at prime 2.