Logic Seminar

We will discuss measurable cohomology of groups with Kazhdan's property (T). This will lead us to some cohomological characterizations of property (T), together with implications towards (the absence of) various lifting properties of these groups. In particular, we will construct "genuine" approximate homomorphisms into matrix algebras for a large class of property (T) groups. This is based on a recent joint work with Adrian Ioana and Matthew Wiersma.