# Colloquium abstracts

**Mahan Maharaj**

Vivekananda University

December 14, 2010

**Geometry and dynamics of Kleinian groups**: Kleinian groups are discrete subgroups of the Isometry group of hyperbolic 3-space. Their limit sets are the points of accumulation of orbits on the ideal boundary. The most representative examples are surface Kleinian groups, i.e., discrete faithful representations of \pi_1(S) into PSL_2(C). We shall describe a rigidity result (due to Minsky et al) and a result due to the author that says that limit sets are \pi_1(S)-equivariant quotients of the circle.