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

报告人: 陈张弛南巴黎大学

  目: Analytic techniques in the proof of unique ergodicity for foliations

间:2019.04.29(星期一),15:30-17:30

地 点:数学院南楼N913

   要:In 2018, Dinh, Nguyên and Sibony gave a proof of unique ergodicity for foliations on compact Khler surfaces. Let F be a holomorphic foliation on such a surface (X,ω). Suppose F has only hyperbolic singularities and admits no directed positive closed current. Then there exists a unique positive ddc-closed (1,1)-current T of mass 1. In this talk I will present their key idea and some analytic details of the proof: lelong number of a harmonic current, tangent currents, mass formula, vanishing of the mass.

 
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