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A classification of fusion categories generated by an object of dimension $(1+\sqrt5)/2$

Algebra & Discrete Mathematics

Speaker: Cain Edie-Michell, Vanderbilt U
Location: Zoom lecture
Start time: Thu, Nov 19 2020, 10:00AM

The celebrated Jones index theorem implies that if the dimension of an object in a unitary fusion category is less than 2, then it is of the form $2\cos (\pi/n)$ for $n$ a natural number. Further, each of these dimensions is realized by at least one example. A natural extension of this theorem is to ask for the classification of all objects of dimension less than 2 that can appear in unitary fusion categories. In this talk I will answer this question for the third-smallest dimension in a unitary fusion category, $(1+\sqrt5)/2$.

All meetings this quarter will be by Zoom. Please see announcements or contact organizers for the passcode.

Stay afterwards for a brief, informal reception. Refreshments will be self-provided.