PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mathieu Stienon, Nigel Higson, Ping Xu.

Title:Global dimensions for fusion categories of type (G,k)
Seminar:GAP Seminar
Speaker:Robert Coquereaux, CPT Marseille / CNRS
Abstract:
The global dimension of a fusion category, or of a module over a fusion category, is the sum of squares of quantum dimensions for its simple objects. It is a quantum analog of the order of a finite group. This number also possesses an interpretation as the value of a functional integral over S3, associated with the Chern-Simon action for the group G, at level k (a non-negative integer). After recalling a few notions about fusion categories associated with a pair (G,k), and about the notion of quantum dimension in that context, we shall introduce, for every simple Lie group, a quantum super-factorial function that allows one to express global dimensions in a closed form.

Room Reservation Information

Room Number:MB106
Date:10 / 12 / 2010
Time:02:30pm - 03:30pm