For more information about this meeting, contact Sergei Tabachnikov.
| Title: | From combinatorics to geometry for knots and 3-manifolds |
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| Seminar: | Department of Mathematics Colloquium |
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| Speaker: | David Futer, Temple University |
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| Abstract: |
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| 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 |
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| Date: | 09 / 30 / 2010 |
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| Time: | 04:00pm - 05:00pm |
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