|DATE||December 16 (Thu), 2021|
|TITLE||Analysis of the sequence of scalar Riemann-Hilbert problems|
|ABSTRACT||In the series of seminars, I will explain the method to obtain the universality of edge scaling limits of 2D determinantal Coulomb gas using asymptotic expansions of planar orthogonal polynomials. The method is based on the derivation of the Riemann-Hilbert hierarchy and the construction of an orthogonal foliation flow, which is introduced by Hedenmalm and Wennman.
In this talk, I will discuss the analysis of the sequence of scalar Riemann-Hilbert problems which gives an algorithm to obtain all higher order correction terms.