Events
DMS Linear Algebra/Algebra Seminar |
Time: Jan 23, 2018 (04:00 PM) |
Location: Parker Hall 352 |
Details: Speaker: Huajun Huang Title: A survey of the Marcus-de Oliveira determinantal conjecture
Abstract: The Marcus-de Oliveira determinantal conjecture (MOC) says that the complex number det(A+B), where A and B are normal matrices, is located in the convex hull of the determinants of sum of diagonal matrices similar to A and B, respectively. I will survey in this talk the history, progress, and challenges of this conjecture, and introduce the related geometric properties and extended results to the determinants of sums of matrices. |