at the

American Institute of Mathematics, San Jose, California

organized by

Scott Morrison, Eric Rowell, and Noah Snyder

This workshop will bring together interested mathematicians working in Topology, Representation Theory and Subfactor Theory with two main goals:

- share techniques and encourage collaborative approaches among these research groups, and
- develop hybrid techniques to classification with a view towards establishing a long-term classification program.

Two secondary goals are:

- to compile an up-to-date catalog of known classifications and
- to search for exotic fusion categories i.e. not related to quantum groups or quasi-Hopf algebras.

The workshop schedule.

A report on the workshop activities.

Papers arising from the workshop:

Rank finiteness for modular categories

by Paul Bruillard, Siu-Hung Ng, Eric Rowell, and Zhenghan Wang, *J. Amer. Math. Soc. 29 (2016), no. 3, 857-881 * MR3486174

The little desert? Some subfactors with index in the interval (5, 3+\sqrt5)

by Scott Morrison and Emily Peters, *Internat. J. Math. 25 (2014), no. 8, 1450080, 51 pp * MR3254427

Constructing spoke subfactors using the jellyfish algorithm

by Scott Morrison and David Penneys, *Trans. Amer. Math. Soc. 367 (2015), no. 5, 3257-3298 * MR3314808

An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem

by Scott Morrison, *Bull. Lond. Math. Soc. 46 (2014), no. 3, 600-608 * MR3210716

The classification of subfactors of index at most 5

by Vaughan F. R. Jones, Scott Morrison, and Noah Snyder, *Bull. Amer. Math. Soc. (N.S.) 51 (2014), no. 2, 277-327 * MR3166042

Cyclic extensions of fusion categories via the Brauer-Picard groupoid

by Pinhas Grossman, David Jordan, and Noah Snyder, *Quantum Topol. 6 (2015), no. 2, 313-331 * MR3354332

Classification of integral modular categories of Frobenius-Perron dimension pq^4 and p^2q^2

by Paul Bruillard, Cesar Galindo, Seung-Moon Hong, Yevgenia Kashina, Deepak Naidu, Sonia Natale, Julia Yael Plavnik, and Eric. C. Rowell, *Canad. Math. Bull. 57 (2014), no. 4, 721–734 * MR3270794