In this talk, we will consider the support variety theory for Hopf algebras and finite tensor categories. We will start by presenting the basic definitions and properties of these algebraic structures (Hopf algebras and tensor categories) and then we will introduce the theory of support varieties for them. We will analyze questions about projectivity and tensor products by using support theory and we will illustrate this via some examples. If time allows, we will discuss some deeper results involving complexity, realization, and connectedness of the varieties.
This talk is based on join work with P. Bergh and S. Witherspoon.
This video is part of the University of Georgia‘s Algebra seminar.
