For more information about this meeting, contact Sergei Tabachnikov, Flossie Dunlop, Mari Royer.
| Title: | Spontaneous Geometry: from Circles to Conformal Structure to Brain Imaging |
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| Seminar: | Department of Mathematics Colloquium |
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| Speaker: | Ken Stephenson, University of Tennessee |
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| Abstract: |
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| Circle packing, an invention of Bill Thurston, concerns configurations of circles with specified patterns of tangency. Given the abstract combinatorics of a triangulated surface, realization of an associated circle packing forces a geometry on that surface --- a "spontaneous" geometry because its surprisingly
rich global character emerges from simple local interactions among the circles. In this talk I will illustrate this geometry, discuss deep connections to classical conformal geometry, and conclude with applications to topics as diverse as conformal tiling and brain mapping. |
Room Reservation Information
| Room Number: | MB114 |
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| Date: | 04 / 23 / 2009 |
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| Time: | 04:00pm - 05:00pm |
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