|WORKSHOP ON TOPOLOGY: IDENTIFYING ORDER IN COMPLEX SYSTEMS|
|Topic:||Topological Robotics, Topological Complexity, and Euclidean Embeddings of Real Projective Spaces|
|Affiliation:||Rutgers, The State Unviersity of New Jersey|
|Date:||Wednesday, March 3|
|Time/Room:||5:00pm - 6:00pm/S-101|
This will be a report on topics related to topological complexity (TC), introduced by Michael Farber in 2003 as a numerical measure of the complexity of robot motion planning problems. TC of real projective space P^n (lines through the origin in Euclidean n+1 space) coincides with the Euclidean immersion dimension of P^n for n different from 1, 3 and 7. For symmetric TC of P^n , there is a close relation to the Euclidean embedding dimension of P^n , currently under study. Joint work with Jesus Gonzalez.