In this mostly expository presentation, I will explain how certain combinatorial structures that arise in the representation theory of real reductive Lie groups can be used to solve several longstanding problems in classical invariant theory. Specifically, I will outline how to explicitly describe syzygies, Hilbert series, and linear bases of modules of covariants of several vectors and co-vectors.
Much of the work presented is a collaboration with Will Erickson.
This video is part of the University of Georgia‘s Algebra seminar.
