For more information about this meeting, contact Mathieu Stienon, Nigel Higson, Ping Xu.
|Title:||Global dimensions for fusion categories of type (G,k)|
|Speaker:||Robert Coquereaux, CPT Marseille / CNRS|
|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
|Date:||10 / 12 / 2010|
|Time:||02:30pm - 03:30pm|