Speaker: Jason Manning, Caltech
Title of talk: Relative hyperbolicity and Dehn fillingof groups
Abstract: Just asGromov hyperbolic groups are a coarse geometric generalization of cocompact Kleiniangroups (fundamental groups of compact hyperbolic orbifolds),relatively hyperbolic groups are a coarse geometric generalization ofgeometrically finite Kleinian groups. One consequence of Thurston'shyperbolic Dehn surgery theorem is that most surgeries of ahyperbolic knot complement are themselves hyperbolic manifolds.  Thisstatement can be reformulated in terms of Gromov hyperbolic and relativelyhyperbolic groups.  I will give such a reformulation and say some wordsabout how it can be proved. This is joint work with Daniel Groves.