PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov.

Title:From combinatorics to geometry for knots and 3-manifolds
Seminar:Department of Mathematics Colloquium
Speaker:David Futer, Temple University
Abstract:
Powerful theorems of Thurston, Perelman, and Mostow tell us that almost every 3-manifold admits a hyperbolic metric, and that this metric is unique. Thus, in principle, there is a 1-to-1 correspondence between a combinatorial description of a 3-manifold and its geometry. On the other hand, only in the last couple of years have we begun to see the outlines of a concrete dictionary between combinatorial features and geometric measurements. In this vein, I will survey some recent results that explicitly relate the combinatorics of a knot diagram to geometric features of the knot complement and related closed 3-manifolds.

Room Reservation Information

Room Number:MB114
Date:09 / 30 / 2010
Time:04:00pm - 05:00pm