报告人：陈张弛（华东师范大学）
时间：2025年9月11日10:00-11:00
地点：物质科研楼C1124
Holomorphic foliations are geometric structures to foliate high dimensional complex manifolds with low dimensional ones (called leaves). The key problem in this area is to study the density and the distribution of leaves. Fornaess-Dinh-Nguyen-Sibony proved that in compact Kahler surfaces, foliations with only hyperbolic singularities admits unique ergodicity. In particular, if the foliation does not direct any positive closed currents, then there is a unique (up to scaling) positive harmonic current directed by it. As a consequence, each leaf is dense and has the same distribution in the sense of Nevanlinna currents.
In this talk I will introduce the basic concepts about holomorphic foliations, hyperbolic singularities, harmonic currents. I will review the unique ergodicity, and talk about my result on the Lelong number of directed harmonic currents. Finally, I will talk about some open problems.
