26 January ~ Andrew Celsus (University of Cambridge) “Asymptotics of Orthogonal Polynomials with Respect to Varying Complex Weights”

Motivated by the numerical approximation of highly oscillatory
integrals, we consider asymptotics of orthogonal polynomials with
respect to varying complex weights. The zeros of these polynomials
accumulate along various arcs in the complex plane, and the study of the
asymptotic zero distribution of these polynomials relies on many
interesting areas of mathematics, including complex analysis,
logarithmic potential theory, and harmonic analysis.