PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov.

Title:Caging and linking
Seminar:Department of Mathematics Colloquium
Speaker:Yu. Baryshnikov, Bell Labs
Abstract:
A finite point configuration is said to be caging a planar body, if the set of Euclidean motions of the body not hitting the points of the configuration is bounded. Caging configurations are important in robotics and are a popular topic in computational geometry. We argue that caging is best understood in topological terms, manifesting itself as nontrivial linking of certain closed curves (in the group of motions of the Euclidean plane), which can be translated into effectively computable invariants of pairs of framed planar curves.

Room Reservation Information

Room Number:MB114
Date:09 / 16 / 2010
Time:04:00pm - 05:00pm