会议安排
11月9日 会议报到 |
11月10日 大会报告 |
时间 |
报告人 |
报告题目 |
上午 |
8:15-8:20 |
合影（数学与统计学院门口） |
8:20-8:30 |
开幕式 |
第一阶段 主持人：许以超 |
8:30-9:15 |
胡璋剑 湖州师范学院 |
Hankel operators on Bergman spaces with regular weights |
9:15-10:00 |
周泽华 天津大学 |
Disjoint hypercyclic weighted pseudo-shifts on Banach sequence spaces |
10:00-10:30 |
茶歇 |
第二阶段 主持人：王世坤 |
10:30-11:00 |
唐笑敏 湖州师范学院 |
Schwarz Lemma and Rigidity Theorem at the Boundary for Holomorphic Mappings on the Unit Polydisk in Cn |
11:00-11:30 |
李小山 武汉大学 |
On the stability of embedding of CR manifolds |
11:30-12:00 |
王中华 河南大学 |
Some results on non-Archimedean analytic curves |
12:00-14:30 |
午餐及休息 |
下午 |
第一阶段 主持人：吴可 |
14:30-15:15 |
钟春平 厦门大学 |
On strongly pseudoconvex complex Finsler metrics |
15:15-16:00 |
邓富声 中国科学院大学 |
有界域的线性不变量 |
16:00-16:30 |
茶歇 |
第二阶段 主持人：乔玉英 |
16:30-17:00 |
张晓飞 平顶山学院 |
螺形映射的等价刻画及其应用 |
17:00-17:30 |
李鸿军 河南大学 |
Hopf-Rinow Theorem on Complex Finsler Manifolds |
18:00-20:00 |
晚餐 |
11月11日 自由讨论 |
报到地点：河南大学金明校区中州金明酒店
报告地点：数学与统计学院一楼报告厅
讨论地点：数学与统计学院一楼报告厅
报告题目和摘要
胡璋剑（湖州师范学院）
题目：Hankel operators on Bergman spaces with regular weights
摘要：Given some regular weight on the unit disc , let be the space of all Lebesgue measurable functions on for which
and let be the weighted Bergman space of all holomorphic functions . For all possible , we characterize these symbols f for which the induced Hankel operators are bounded (or compact) from to . While doing that we develop an approach to obtain some estimates on the canonical solution to the -equation.
周泽华（天津大学）
题目：Disjoint hypercyclic weighted pseudo-shifts on Banach sequence spaces
摘要：In this paper, we characterize disjoint hypercyclicity for a finite family of weighted pseudo-shifts on an arbitrary Banach sequence space. Moreover, we obtain some interesting consequences of this characterization.
唐笑敏（湖州师范学院）
题目：Schwarz Lemma and Rigidity Theorem at the Boundary for Holomorphic Mappings on the Unit Polydisk in Cn
摘要：This article is devoted to a deep study of the holomorphic self-mappings of the unit polydisk via not only establishing a new type of the classical Schwarz lemma at the boundary but also giving the boundary version of the rigidity theorem. This is a joint work with TaiShun Liu.
李小山（武汉大学）
题目：On the stability of embedding of CR manifolds.
摘要：The talk will be divided into two parts. First, we will first talk about our recent work on the stability of equivariant embedding of CR manifolds with circle actions. Second, we will talk about the stable embedding problem for a CR family of 3-dimensional strongly pseudoconvex CR manifolds with each fiber bounding a stein manifold. This talk is based on joint works with Chin-Yu Hsiao, Hendrik Herrmann, George Marinescu and Guicong Su.
王中华（河南大学）
题目：Some results on non-Archimedean analytic curves
摘要： In this talk, we introduce a Picard-type theorem and a uniqueness theorem for non-Archimedean analytic curves in the projective space where is a algebraically closed field of characteristic . In both theorems, we ignore the zeros with large multiplicities. This talk is based on joint works with Yan Qiming.
钟春平（厦门大学）
题目：On strongly pseudoconvex complex Finsler metrics
摘要：A complex Finsler metric on a complex manifold is called strongly pseudoconvex (resp. strongly convex) if its indicatrix
at each point is strongly pseudoconvex (resp. strongly convex). In this talk, I shall first recall some basic notions in real and complex Finsler geometry, and then introduce some recent results we obtained on strongly pseudoconvex (resp. strongly convex) complex Finsler metrics.
邓富声（中国科学院大学）
题目：有界域的线性不变量
摘要：我们将证明两个有界拟凸域全纯等价当且仅当他们的可积全纯函数构成的空间线性等距。同时将证明，当区域作形变时，纤维上可积全纯函数构成的空间形成底空间上的一个向量丛，该向量丛配有内蕴的Finsler度量，其曲率非负。这些结果是更广泛的一些结果的特殊情况。
该报告基于与汪志威、张利友、周向宇合作的工作。
张晓飞（平顶山学院）
题目：螺形映射的等价刻画及其应用
摘要：设A 是一个n阶复方阵，它的每个特征值满足条件. 首先我们利用Loewner 理论给出了单位球上关于对角形矩阵的螺形映射的等价刻画; 其次我们利用这个等价表示一方面得到了关于矩阵A的螺形映射的增长掩盖定理, 另一方面我们证明了由Pfaltzgraff 与 Suffridge 构造的算子
将单位球上关于矩阵的螺形映射变为单位球 上关于矩阵的螺形映射. 该工作是与卢金合作。
李鸿军（河南大学）
题目：Hopf-Rinow Theorem on Complex Finsler Manifolds
摘要：In this article, we prove that geodesics are locally minimizing on a strongly pseudoconvex complex Finsler manifold with the triangle inequality. Hence, the the distance function induced by a strongly pseudoconvex complex Finsler metric with the triangle inequality satisfies the strictly triangle inequality. Secondly, we prove the classical Hopf-Rinow theorem holds on strongly pseudoconvex complex Finsler metrics with the triangle inequality. Moreover, we prove that the gradient of the distance function on a strongly pseudoconvex complex Finsler manifold with the triangle inequality satisfying .
