Mom technology and small hyperbolic 3-manifolds
by Peter Milley
Abstract: A "Mom-structure" is a type of cellular complex inside a hyperbolic 3-manifold, with connections to both the concept of spines and the concept of canonical triangulations. In this talk I will define Mom-technology and discuss how it recently has been used to solve two open problems in 3-manifold topology: finding the minimum volume hyperbolic 3-manifold (by Gabai, Meyerhoff, and myself), and finding the maximal number of exceptional Dehn surgeries (by Lackenby and Meyerhoff).
For More Information: Contact: Stephan Tillmann S.Tillmann@ms.unimelb.edu.au