Title: Determinants of Sums of Normal Matrices

 

 

Abstract: Recent efforts in matrix theory have been concerned with describing invariants of matrices with "nice" properties.  In this talk, we address a conjecture on the determinant of the sum of a pair of normal matrices.  Reducing this conjecture to the problem of providing non-negative solutions for a system of linear equations without full rank, we use tools from representation theory to describe the modifications required to provide such solutions.  

 

This is my doctoral defense and joint work with my committee chair, Luke Oeding.