Title: Harmonic deformations of hyperbolic 3-manifolds
Speaker: Craig Hodgson
Abstract: This talk will give an introduction to my work with Steve Kerckhoff on harmonic deformations of hyperbolic 3-manifolds, and describe some topological applications. In particular, this work gives a quantitative version of Thurston's hyperbolic Dehn surgery theorem, including precise estimates on the changes in volume and core geodesic length during hyperbolic Dehn filling.