Speaker:
Sungsoo Byun, Seoul National University
Abstract
Free energy expansions of non-Hermitian random matrix ensembles
Abstract: In this talk, I will discuss non-Hermitian random matrix ensembles in the symmetry classes of complex and symplectic Ginibre matrices, which can be realised as determinantal and Pfaffian Coulomb gases in the plane. I will present recent developments in the free energy expansions of these models. In particular, I will introduce how the potential theoretic, topological, and conformal geometric information of the model arises in these expansions.