Topology Seminar (Introductory Talk): Introduction of geometric finiteness in hyperbolic space $ℍ^3$

Seminar | October 24 | 2-3 p.m. | 736 Evans Hall

 Beibei Liu, UC Davis

 Department of Mathematics

The notion of geometrically finite discrete groups are originally defined by Ahlfors for subgroups of isometries of the 3-dimensional hyperbolic space, and alternative definitions of geometric finiteness were later given by Marden, Beardon and Maskit, and Thurston. We will focus on the definition given by Beardon and Marskit, and review Bishop’s characterization of geometrically finite discrete isometry subgroups.