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Planar algebras and the Potts model on random graphs

Random Matrix Theory and Its Applications I September 13, 2010 - September 17, 2010

September 14, 2010 (09:30 AM PDT - 10:10 AM PDT)
Speaker(s): Alice Guionnet (École Normale Supérieure de Lyon)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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v0178
Abstract I will discuss the construction of matrix models related with the combinatorics of loop models, based on ideas coming from Jones planar algebra theory. As an application, I will give an exact solution for the Potts model on random graphs, based on random matrices techniques. This is based on joint works with V. Jones, D. Shlyakhtenko and P. Zinn Justin.
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