题目: Toeplitz Matrices and equidistribution

报告人：Siarhei FINSKI，法国国家科学研究中心、巴黎综合理工大学（Centre  national de la recherche scientifique & École Polytechnique）

时间：10月28日（星期二）,19:30-20:30

地点：东区第五教学楼5106教室

摘要：The spectral theory of Toeplitz matrices originates from Szegő’s classical results on eigenvalue distributions. In this talk, I will review Szegő’s foundational theorem and then discuss a more recent development focusing on the behavior of small eigenvalues. Interestingly, this problem reveals unexpected connections with Mabuchi geometry, which arises in the study of constant scalar curvature Kähler metrics. Our goal is to illustrate how modern techniques from Kähler geometry and pluripotential theory naturally appear in the asymptotic analysis of Toeplitz operators.