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