|DATE||November 25 (Thu), 2021|
|TITLE||Hard edge scaling limits of 2D Coulomb gas system|
|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 focus on the orthogonal foliation flow for hard edge orthogonal polynomials and explain the hard edge scaling limits of 2D Coulomb gas system.