报告题目： Commutator type and Levi type of a system of CR vector fields

时间：2024年11月21日（周四）下午15：30-16：30

地点：数学与统计楼213报告厅

报告人：尹万科 教授

摘要： Finite type conditions arise naturally during the study of weakly pseudoconvex hypersurfaces, which are defined to measure to degeneracy of the Levi form. Let M be a pseudoconvex hypersurface, p∈M, and let B be a subbundle of the CR tangent bundle. The commutator type t(B, p) measures the number of commutators of the 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.

报告人简介：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。

报告题目：Contraction property on complex hyperbolic ball

时间：2024年11月21日（周四）下午16：30-17：30

地点：数学与统计楼213报告厅

报告人：李小山 副教授

摘要：In this talk, we will present a contraction property for the holomorphic functions in Hardy and weighted Bergman spaces on the complex hyperbolic ball based on the isoperimetric inequalities we have obtained under some geometry assumption. This talk is based on a joint work with Guicong Su.

报告人简介：李小山，武汉大学副教授，博士生导师。主要从事多复变函数论的研究，先后主持国家自然科学基金青年项目1项、面上项目2项、国际（地区）合作与交流项目1项，在Math. Ann.、JFA、TAMS、IMRN、MRL、Math. Z.等国际数学知名期刊发表论文20余篇。