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Brian Simanek: Blaschke Products, Numerical Ranges, and the Zeros of Orthogonal Polynomials

Time: Wed 2019-04-10 13.15 - 14.15

Location: Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University

Lecturer: Brian Simanek (Baylor)

Abstract: Our main object of interest will be the location of zeros of orthogonal polynomials on the unit circle. After recalling some fundamental results, we will discuss more recent developments that relate these zeros to Blaschke products, numerical ranges of matrices, algebraic curves, and quadrature measures. Some open problems will be mentioned along the way.