The University of Michigan Combinatorics Seminar


Abstract 

In this talk we discuss several classes of families of polynomials in one complex variable, which are either (i) polynomial solutions to a linear ordinary differential equation depending on a spectral parameter, or (ii) satisfy a finite recurrence relation with fixed polynomial coefficients. In both cases, we describe some intriguing properties of the asymptotic distributions of zeroes and formulate a number of conjectures relating this topic to the study of Stokes curves. No preliminary knowledge of the subject is required. 