12 March 2014
Kazhdan's Property (T) is a powerful property of groups, with many useful consequences. Probably the best known examples of groups with (T) are higher rank lattices. In this talk I will provide a proof that for n ≥ 3, SLn(ℤ) has (T). A nice feature of the approach I will follow is that it works entirely within the world of discrete groups: this is in contrast to the classical method, which relies on being able to embed a group as a lattice in an ambient Lie group.
- Junior Topology and Group Theory Seminar