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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

陈张驰,南巴黎大学

Inviter:  
Title:
Lelong number of a harmonic current directed by foliations
Time & Venue:
2019.4.30 9:30-11:30 N820
Abstract:
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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