Time: 9:00-10:30, October 16/23, 2025
Venue：E4-233
Speaker: Siarhei Finski, Ecole Polytechnique
Title：Equidistribution in Complex Geometry I & III
Abstract: This talk will explore several equidistribution results in complex geometry, emphasizing their connections with modern Kähler geometry. We will begin with Szegő's classical theorem on the spectral distribution of Toeplitz matrices, and then turn to a refinement that describes more precisely the part of the spectrum converging to zero. Interestingly, this problem is closely linked to Mabuchi geometry, originally introduced in the study of constant scalar curvature Kähler metrics. Finally, we will examine another aspect of the relation to canonical metrics, focusing on equidistribution phenomena arising from submultiplicative filtrations.
