SEARCH Events
Event Title: OR
Speaker Last Name:    OR
Year: (yyyy)


Mathematics Colloquium

EVENT DETAIL

Date:  Tuesday, October 12, 2010

Title:  Path categories and calculations

Abstract:  The path category P(X) of a space X is an invariant which is defined much like the fundamental groupoid, except that directions of paths are not formally reversed. This construction has applications in theoretical computer science, where it gives, in principle, a description of execution paths in geometric models for the behaviour of parallel processing systems. Path categories have resisted calculational analysis until just recently, in part because standard homotopy theoric methods are not applicable. We now know that the path category P(K) of a finite simplicial complex K can be computed by an algorithmic method which is based on the existence of a finite 2-categorical resolution. Methods of implementation and applications of this result will be discussed.


Speaker:  Rick Jardine
Institution:  The University of Western Ontario

 

Back to current Colloquium List
Back to UM Math seminars page

   

Department of Mathematics   |   2074 East Hall   |  530 Church Street  
Ann Arbor, MI 48109-1043
Phone: 734.764-0335   |   Fax: 734.763-0937

The page last modified
Site errors should be directed to math-webmaster@umich.edu