DMS Algebra/Linear Algebra Seminar

Speaker: Luke Oeding

Title: Hyperdeterminants and Principal Minors, part II

Abstract: Hyperdeterminants tell when higher order matrices are singular in the same sense that determinants tell when a matrix is singular. After introducing the basic concepts, I will describe a fascinating connection between hyperdeterminants and the principal minor assignment problem.

In part II, I will describe the symmetry of the variety of principal minors and a recent approach to the conjecture of Lin and Sturmfels on the generators of the ideal of the variety of principal minors.