In this talk, I will first motivate the notion of a modular tensor category (MTC), which is a monoidal category equipped with a rich structure that is useful for many applications. I will then highlight ways in which we can construct new MTCs from old MTCs, especially in the non-semisimple setting.

This is based on joint work with Robert Laugwitz.

This video was part of the Southeastern Lie Theory Workshop XIII.