Geometry, Topology and Dynamics Seminar
Alex Furman
UIC
Elegant aliens: about some exotic infinite groups
Abstract: In this talk I will discuss a remarkable class of infinite discrete groups, known as exotic $\tilde{A}_2$-groups.
These are close relatives to lattices in SL(3,Q_p), but they are not linear.
They act on very nice CAT(0) simplicial complexes, have property (T),
have no infinite factors, cannot act on a circle, do not embed in hyperbolic groups or Mapping Class Groups, etc.
The main new result that I want to describe is a strong form of non-linearity,
recently proven by Bader, Caprace and Lecureux.
Monday February 1, 2016 at 3:00 PM in SEO 636