|DATE||November 11 (Thu), 2021|
|TITLE||Planar orthogonal polynomials and edge universality for 2D Coulomb gases 1|
|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 introduce the asymptotic expansion of planar orthogonal polynomials in exponentially varying weights and quasi orthogonal polynomial approximations.