数学学院学术报告

 

 

报告题目:Derivation Lie Algebras and Singularities

报告时间:2018年5月3日(周四)下午4:20—5:00

报告地点:研教楼412

报告人:左怀青 清华大学丘成桐数学中心 助理教授

校内报告联系人:徐敏                              联系电话:84708351-8141

 

报告摘要:

Let R be a positively graded Artinian algebra. The non-existence of negative weight derivations on R has been open for a long time. Alexsandrov conjectured that there is no negative weight derivation when R is a complete intersection algebra and Yau conjectured there is no negative weight derivation on R when R is the moduli algebra of a weighted homogeneous hypersurface singularity. On the other hand, Wahl conjectured that non-existence of negative weight derivations is still true for positive dimensional positively graded R. We also found that the jump of dimension of derivation Lie algebra of moduli algebra in the deformation of an isolated hypersurfaces singularity is related with the nil-polynomial associated to the singularity. In this talk we will present our recent progress on these problems. Part of this work is joint with S. S.-T. Yau and H. Chen.

 

报告人简介:左怀青,现任清华大学丘成桐数学中心助理教授、博士生导师。毕业于美国伊利偌伊大学芝加哥分校并获博士学位。在代数几何奇点理论方面取得了一系列重要成果,先后在国际著名期刊上发表论文三十多篇。自回国工作后,主持两项国家自然科学基金(青年和面上项目),参与一项国家自然科学基金重点项目。多次在重要国际学术会议上作大会报告,特别地应邀在2017年首届世界华人数学家联盟年会大会上作45分钟特邀报告。

 

 

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