Introduction to subfactor theory
1 hour 2 mins,
893.58 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.92 Mbits/sec
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About this item
| Description: |
Penneys, D (University of California, Los Angeles)
Monday 16th January 2017 - 13:30 to 15:00 |
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| Created: | 2017-02-06 15:07 |
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| Collection: | Operator algebras: subfactors and their applications |
| Publisher: | Isaac Newton Institute |
| Copyright: | Penneys, D |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | In this series of lectures, I'll give an introduction to the modern theory of subfactors initiated by Vaughan Jones. We'll begin with invariants for subfactors, like the index, the principal graph, and the standard invariant. We'll then discuss Jones' planar algebras as an elegant and powerful tool for the construction and classification of subfactors. The standard invariant can also be seen as a unitary 2-category, and the categorical framework has been very important for recent results. Finally, we'll discuss the classification of 'small' examples from several viewpoints. |
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