After recalling some basic notions in Analytic Group Theory, I will discuss a possible approach to the problem of determining whether two properties which represent a weak form of hyperbolicity, namely the (AO)-property and bi-exactness, coincide. I will also explain how the techniques involved can be used in order to study certain analytic properties of SL(3,Z) (joint with F. Radulescu). I will focus on the role of measurable dynamics and proximality arguments in this context.
Meeting ID: 852 4277 3200 Passcode: 103121