COLLOQUIUM
DEPARTMENT OF MATHEMATICS AND STATISTICS
OAKLAND UNIVERSITY
ROCHESTER, MICHIGAN 48309
Cynthia Vinzant
University of Michigan
Really Real Systems of Polynomials
Abstract
Systems
of polynomial equations with only real solutions are very special. A
natural example is that the derivative of a univariate polynomial with
only real zeros again has only real zeros. These systems of polynomial
equations often have discriminants that are nonnegative and sometimes
sums of squares. I will talk about the geometry and applications of two
fundamental examples: the eigenvalues of a symmetric matrix and the
analytic centers of a hyperplane arrangement.
Tuesday, April 3, 2012
3:00– 4:00 P.M.
372 Science and Engineering Building
(Refreshments at 2:30-3:00 PM in the kitchen area adjacent to 368 SEB)