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Mathematics Colloquium

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Date:  Tuesday, October 09, 2007

Title:  Two faces of planar algebras

Abstract:  Planar algebras are vector spaces with lots of operations indexed by planar diagrams that occur in lots of areas of mathematics and physics. In particular with a couple of extra axioms it is known by a theorem of Popa that they are intimately related in two ways to von Neumann algebras. I will give a new "graded algebra" look at these two ways, inspired by work of Guionnet and Shlyakhtenko on random matrices. (They are my coauthors in the current work.)


Speaker:  Vaughn Jones
Institution:  UC Berkeley

 

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