Special Year Research Seminar

A discrete subgroup of PSL(2,C) is called a Kleinian group. I will present  a criterion on  when a discrete faithful representation of a Kleinian group into PSL(2,C) is a conjugation, or equivalently  a criterion on when an equivariant embedding of the limit set into the Riemann sphere is a Mobius transformation.

 I will explain a new viewpoint of relating the rigidity of a Kleinian group with its self-joinings, which are discrete subgroups of the higher rank Lie group PSL(2,C) times PSL(2,C). Based on joint work with Dongryul Kim.