by
Prof.Mahan Maharaj(Vivekananda University, Belur (West Bengal))
→
Asia/Kolkata
AG-66 (Colaba Campus)
AG-66
Colaba Campus
Description
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.