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Categorifying connections

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OASW05 - OAS Follow on: Operator Algebras: Subfactors and Applications

The road between subfactors and fusion categories is well-trodden in both directions; subfactors provide examples of fusion categories not seen elsewhere, and fusion category techniques can be applied in, eg, the construction and classification of subfactors. In this talk we translate the main ideas of Ocneanu’s paragroup theory into tensor categorical language; we begin by explaining why connections on bipartite graphs correspond to a pair of functors from the Temperley-Lieb-Jones categories into a graph category, and commutator data.  This is joint work with David Penneys and Noah Snyder.

This talk is part of the Isaac Newton Institute Seminar Series series.

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