Classifying fusion categories
March 12 to March 16, 2012
American Institute of Mathematics,
Palo Alto, California
and Noah Snyder
This workshop will be devoted to the classification problem for fusion categories, including those with additional structure, e.g. ribbon and modular fusion categories. More specifically, we will focus on the development and application of both theoretical and computational techniques for classifying fusion categories that are "small" in various senses.
This workshop will bring together interested mathematicians working in Topology, Representation Theory and Subfactor Theory with two main goals:
Among the interpretations of "small" that will be considered are: small rank, low-dimensional simple objects, bounded global Frobenius-Perron dimension and global Frobenius-Perron dimension having few prime divisors.
- 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.
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
Papers arising from the workshop: