Anosov groups that are indiscrete in rank one

Abstract: Hyperbolic groups is a rich and well-studied class of finitely presented groups introduced by Gromov in the 80's. It is an open question on whether there exist examples of linear hyperbolic groups which do not admit discrete faithful representation into any real semisimple Lie group. In this talk, we are going to provide linear examples of hyperbolic groups which, on the one hand admit Anosov representations into higher rank Lie groups, but fail to admit discrete faithful representation into any product of (finitely many) rank one Lie groups. This is joint work with Sami Douba.

Mathematics

Audience: researchers in the topic

Greek Algebra & Number Theory Seminar