PIMS/UVic Lecture: Michael Tsatsomeros

Michael Tsatsomeros will discuss a bounded region E(A) in the complex plane that contains the eigenvalues of a complex matrix A. E(A) is the intersection of an infinite number of regions defined by elliptic curves that were borne in Victoria many years ago. As such, E(A) resembles and is contained in the numerical range of A, which is the intersection of an infinite number of half-planes. E(A), however, can be much smaller than the numerical range, while not being much harder to compute.