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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)

  目: Lelong number of a harmonic current directed by foliations

 

地 点:数学院南楼N820室

   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.

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