Program
10:00--11:20: Speaker: Sung-Soo Byun (Special Lecture)
Title: Complex Ginibre Ensembles with a Point Charge: Eigenvalue Correlations and Partition Functions
Abstract: The complex Ginibre matrix plays a fundamental role in non-Hermitian random matrix theory. In this talk, I will discuss the complex Ginibre matrix conditioned to have a deterministic eigenvalue at a specific point. This model is known as the induced ensemble and is also referred to as an insertion of a point charge from a statistical physics perspective. I will present recent developments on the eigenvalue correlation functions and the expansion of the partition functions for this model. The former relates to local universality questions, while the latter relates to the moments of the characteristic polynomial of the Ginibre matrix, which also finds applications in the large deviations of the Laguerre unitary ensemble.Â
11:40--12:30: Speaker: Seongjae Park
Title: TBA
Abstract: TBA
Lunch Time (1 hour 30 minutes)
14:00--14:50: Speaker: Trinh Khanh Duy
Title: TBA
Abstract: TBA
14:50--15:30: Coffee break (40 minutes)
15:30--16:20: Speaker: Syota Esaki
Title: TBA
Abstract: TBA
16:40--17:30: Speaker: Makoto Katori
Title: TBA
Abstract: TBA