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)
题 目: Analytic techniques in the proof of unique ergodicity for foliations
时 间:2019.04.29(星期一),15:30-17:30
地 点:数学院南楼N913室
摘 要:In 2018, Dinh, Nguyên and Sibony gave a proof of unique ergodicity for foliations on compact K?hler 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.