Commutator type and Levi type
of a system of CR vector fields
报告专家：尹万科 教授 （武汉大学）
报告时间：5月19日（周二）15:00-16:00
报告地点：四川大学数学学院西303
报告摘要：
Finite type conditions arise naturally during the study of weakly pseudoconvex hypersurfaces in $\mathbb{C}^n$, which are defined to measure to degeneracy of the Levi form. Let $M$ be a pseudoconvex hypersurface in $\mathbb{C}^n$, $p\in M$, and let $B$ be a subbundle of the CR tangent bundle $T^{(1,0)}M$.The commutator type $t(B,p)$ measures the number of commutators ofthe sections of $B$ and their conjugates needed to generate the contact tangent vector at $p$. The Levi type $c(B,p)$ is concerned with differentiating the Levi form along the sections of $B$ and their conjugates. It is believed that these two types are the same, which is known as the generalized D'Angelo Conjecture. In this talk, I shall talk about the recent progress on this conjecture, which is based on the joint works with X. Huang and P. Yuan.
专家简介：
尹万科，武汉大学教授，第九届钟家庆数学奖获得者和国家优秀青年科学基金获得者.主要研究领域是多复变函数论，在Invent. Math., Math. Ann., Adv. Math.等国际数学知名期刊上发表多篇论文。
邀请人：张旭
