School Seminars and Colloquia

Mom technology and volumes of hyperbolic 3-manifolds

Geometry/Topology Seminar

by Dr Peter Milley

Institution: The University of Melbourne
Date: Mon 28th August 2006
Time: 1:00 PM
Location: Love Theatre, Richard Berry Building

Abstract: Topologists have long since recognized that the volume of hyperbolic 3-manifolds is connected to some notion of topological complexity. "Mom technology" is our attempt to explain this connection, and in so doing to enumerate small-volume hyperbolic 3-manifolds. This talk will describe the notion of a "Mom structure", how it can be used to describe all 1-cusped hyperbolic 3-manifolds with volume <= 2.7, and how we hope to use it to enumerate small-volume closed manifolds. (Joint work with D. Gabai and R. Meyerhoff)

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