Tannakian Radical and Mantle of a Braided Fusion Category

Explore a 48-minute conference talk by Dmitri Nikshych from the University of New Hampshire on "Tannakian radical and mantle of a braided fusion category" presented at IPAM's Symmetric Tensor Categories and Representation Theory Workshop. Delve into the joint work with Jason Green, focusing on the definition of Tannakian radical in braided fusion categories and its significance. Examine the concept of mantle as the localization corresponding to the Tannakian radical, and understand its canonical central extension as a complete invariant. Investigate the properties of this invariant and its potential applications in classifying braided fusion categories. Recorded on January 12, 2024, this talk offers insights into advanced concepts in category theory and representation theory.