中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

多复变与复几何学术活动

Some Topics in Several Complex Variables

代数几何研讨班 时 间：2019.04.30（星期二），9:30-11:30

报告人: 陈张驰（南巴黎大学）

题  目： Lelong number of a harmonic current directed by foliations

地 点：数学院南楼N820室

摘   要：Now we treat the foliation locally, near a hyperbolic singularity, in dimension 2. The Lelong number of a directed harmonic current T at the singularity helps us quantitively analyse the recurrence of leaves. In 2016, Nguyen proved that if T does not give mass to the two separatrices, then the Lelong number of T at the singularity vanishes. This result helps us understand how often a leaf visits a small ball when we shrink its radius.