Faye Pasley, Molly Lynch, NC State
Speaker 1: Faye Pasley Title: Determinantal Representations, the Numerical Range, and Invariance We study hyperbolic polynomials with symmetry and express them as the determinant of a Hermitian matrix with special structure. By properly modifying a construction of Dixon (1902), we show for every hyperbolic polynomial of degree $n$ invariant under the cyclic group of order $n$ there…