Details of talk
|Title||Bulk scaling limits for random normal matrix ensembles near singularities|
|Presenter||Seong-Mi Seo (Korea Institute for Advanced Study)|
|Session||Analysis and Partial Differential Equations|
In this talk, I will present microscopic properties of the eigenvalues of random normal matrices in the limit where the size of the matrices becomes large. Specifically, this talk will focus on the random normal matrix model with a singularity in the interior of the spectrum. I will discuss the existence and uniqueness of the microscopic density of eigenvalues near a singularity and describe how the rescaled Wards identity can be used to prove the universality. This is based on joint work with Yacin Ameur.