学术报告

An L2 Poincare Dolbeault Lemma of Space with Mixed Cone-Cusp Singular Metric

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题目:An L2 Poincare Dolbeault Lemma of Space with Mixed Cone-Cusp Singular Metric
报告人:赵晨 副研究员 (中国科学技术大学)
地点:致远楼101室
时间:2020年1月3日下午4:00-5:00  
Abstract: The existence of Kahler Einstein metric with mixed cone and cusp singularity has attracted many attentions in recent years. In this talk, we show that their L2 cohomologies coincide with the de Rham cohomology of a good compactification (under both Dirichlet and Neumann boundary conditions) and prove that their L2-Hodge -Frolicher spectral sequence give the pure Hodge structure on them. This is a work joint with Junchao Shentu.

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