October 6, 2017

Planar Algebras for the Drinfeld Centres of the Even Parts of the ADE Subfactors

Consider a subfactor whose even and dual even parts are both equivalent to some unitary tensor category C. Such subfactors are classified by braided auto-equivalences of the Drinfeld centre of C. In this talk I’ll give a presentation of the (unshaded) planar algebras associated to the centres of the even parts of the ADE subfactors. I’ll then explain how we can use these planar algebras to compute the braided auto-equivalences of the corresponding centres.