Pure Maths Colloquium: Infinite groups with fixed point properties
18 January 2010 16:15 in CM107
Joint work with G. Arzhantseva, M.R.Bridson, T.Januszkiewicz, I.J.Leary and J.Swiatkowski. In this talk we will discuss a construction of finitely generated groups with strong fixed point properties. More precisely, let X_c be the class of all contractible Hausdorff spaces of finite covering dimension. We will produce the first examples of infinite finitely generated groups Q with the property that for any action of Q on any space X_c, there is a global fixed point. Moreover, Q may be chosen to be simple and to have Kazhdan's property (T).