VIRTUAL SEMINAR SERIES -- INTEGRABLE SYSTEMS: Wronskian Hermite polynomials
Clare Dunning (University of Kent)
Wednesday 6th May, 2020 13:00-14:00 Zoom seminar
Wronskian Hermite polynomials arise in studies of the Painlevé equations and higher-order analogs, random matrix theory, vortex dynamics, supersymmetric quantum mechanics, integrable models, orthogonal polynomials etc. I will describe a combinatorial interpretation of the coefficients of Wronskian Hermite polynomials in terms of cores and quotients of partitions. We prove an asymptotic result on the location of the zeros of the polynomials in the complex plane, and make some conjectures on an open problem regarding simplicity of the zeros. The talk is based on arXiv:1909.03874, co-authored with N Bonneux and M Stevens.
For more information see the webpage of the events here.