Classifying Small Fusion Categories

Explore the classification of small fusion categories in this 33-minute conference talk by Julia Plavnik from Indiana University. Delve into the challenges of classifying fusion categories, which encompasses the classification of finite groups and semisimple Hopf algebras. Discover various interpretations of "small" in this context, including small rank, generators with small dimensions, and global Frobenius-Perron dimensions with few prime divisors. Gain insights into the classification program for different notions of small fusion categories and learn about recent developments in classifying odd-dimensional modular and fusion categories. This talk, part of the "Actions of Tensor Categories on C*-algebras 2021" series, was presented at the Institute for Pure and Applied Mathematics at UCLA on January 28, 2021.