081 Clare Dunning

Clare Dunning (University of Kent, UK) // Polynomials and partitions // Abstract: Wronskians of orthogonal polynomials appear in a range of applications including in random matrix theory, vortex dynamics and supersymmetric quantum mechanics. They are also associated with the rational solution of Painlevé equations. We discuss how the partitions that label the set of orthogonal polynomials in a particular Wronskian play a role beyond simple notation. Curiously, various aspects of the Wronksian polynomials can be expressed in terms of partition data.