Proper equivariant stable homotopy theory and geometric group theory

18/10/2019, 14:00 - 15:00 in MAP/0G/017

Irakli, Patchkoria (Aberdeen University)


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.

Mathematical Sciences Research Centre