报告人:左怀青
报告地点:数学与统计学院317室
报告时间:2018年07月19日星期五15:30-16:30
邀请人:
报告摘要:
It is well-known that the geometric genus and multiplicity are two important invariants for isolated singularities. In this project we give a sharp lower estimate of the geometric genus in terms of the multiplicity for isolated hypersurface singularities. In 1971, Zariski asked whether the multiplicity of an isolated hypersurface singularity depends only on its embedded topological type. This problem remains unsettled. Recently, we answer positively Zariski's multiplicity question for isolated hypersurface singularity if the Milnor number or geometric genus is small. This is a joint work with S. S.-T. Yau.
主讲人简介:
左怀青,现任清华大学丘成桐数学科学中心助理教授、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J. Eur. Math. Soc.,J. Differential Geom., Math. Z.等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,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。