PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov, Flossie Dunlop, Mari Royer.

Title:Spontaneous Geometry: from Circles to Conformal Structure to Brain Imaging
Seminar:Department of Mathematics Colloquium
Speaker:Ken Stephenson, University of Tennessee
Abstract:
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
Date:04 / 23 / 2009
Time:04:00pm - 05:00pm