沈洋:Global Torelli(1)

2015-07-31 来源:数学科学研究中心

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报告题目: Global Torelli(1)

报告人: 沈洋

时间: 2015年7月31日(周五)上午9:30

地点: 数学中心306教室

摘要:In this talk we prove that if the Teichmuller space T of a projective manifold X is smooth and period map is infinite simally injective on T,then the period map is globally an embedding of T into the period domain,that is the global Torelli theorem holds for X on the Teichmuller space T. Furthermore we prove that a canonical completion  of T is a bounded pseudoconvex domain in  .with   as an o[en and dense subset.