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Introduction to subfactor theory

Presented by: 
David Penneys University of California, Los Angeles
Date: 
Friday 13th January 2017 - 13:30 to 15:00
Venue: 
INI Seminar Room 2
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons