School Seminars and Colloquia

Mom technology and small hyperbolic 3-manifolds

Geometry/Topology Seminar

by Peter Milley

Institution: The University of Melbourne
Date: Mon 1st September 2008
Time: 10:00 AM
Location: Alice Hoy 330, The University of Melbourne

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