##### Department of Mathematics,

University of California San Diego

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### Special Colloquium

## David Penneys

#### University of Toronto

## 1-supertransitive subfactors with index at most 6.2

##### Abstract:

I will begin with an introduction to the subfactor classification program, which has two main focuses: restricting the list of possible principal graphs, and constructing examples when the graphs survive known obstructions. I will discuss recent joint work with Liu and Morrison which classifies 1-supertransitive subfactors without intermediates with index in $(3+\sqrt{5},6.2)$. We show there are exactly 3 examples corresponding to a BMW algebra and two "twisted" variations.

Host: Hans Wenzl

### November 7, 2013

### 12:00 PM

### AP&M 5829

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