Planar algebras: a cornucopia of combinatorics

Vaughan Jones

UC Berkeley

November 7,
refreshments at 3:45pm


Although firmly rooted in analysis on infinite dimensional Hilbert space, planar algebras present a huge variety of combinatorial problems, including counting planar and less planar configurations, solving large systems of linear equations, generating functions, the structure of associative algebras and the asymptotics of random walks on graphs. I will give the definition of a planar algebra and indicate how each of the above problems is encountered.

Speaker's Contact Info: vfr(at-sign)

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)

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