Proper equivariant stable homotopy theory and geometric group theory

Irakli Patchkoria (Aberdeen)

Monday 7th October 16:00-17:00 Maths 311B

Abstract

In this talk we will discuss a connection between geometric group theory and equivariant stable homotopy theory. We will report about joint work with Degrijse, Hausmann, Lück and Schwede which introduces the equivariant stable homotopy theory for proper actions. Then we will discuss stable finiteness properties of classifying spaces for proper actions and how they are related to classical
notions in geometric group theory. This is joint with Barcenas and Degrijse. At the end we will briefly mention some new computations of Burnside rings of infinite discrete groups. This is a work in progress together with Lück and Prytula.

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