广州数学大讲坛第三期
第二十六讲——中山大学珠海校区吴菊杰教授学术报告
题目：Weighted L2 approximation and pluri-subharmonic singularities
时间：2024年5月7日（星期二）下午14：30-15：30
地点：腾讯会议（会议ID：852-849-266,密码：240507）
报告人：吴菊杰教授
摘要：Pluri-subharmonic function with singularity is an important research object of several complex variables, complex geometry, and pluri-potential theory. However, due to the complexity of singularities when n>1, even pluri-subharmonic functions with isolated singularities still have many open problems unsolved. In this talk, we will first review some results about weighted L2 polynomial approximation, and then give some relationship between weighted L2 approximation and pluri-subharmonic singularities. Finally, we will talk about our recent progresses on Lelong number in higher dimension, especially we will show that each pluri-subharmonic function with 0 Lelong number is equivalent that it is VMO. This talk is based on joint works with Severine Biard and John Erik Fornaess.
报告人简介：
吴菊杰，2015年博士毕业于同济大学，导师陈伯勇教授。2017年8月-2020年10月在挪威科技大学做博士后研究，合作导师为John Erik Fornaess教授。主要从事多复变函数论的研究，特别对Cauchy-Riemann方程的L2理论及其应用感兴趣。文章发表在Math. Ann., Trans. AMS, Math. Z., J. Geom. Anal., Bull. Lond. Math. Soc.等期刊上，主持国家自然科学基金青年基金和广东省自然科学基金青年提升项目各一项。
