中科院数学与系统科学研究院
数学研究所
代数几何研讨班
报告人：饶胜（武汉大学）
题 目：Projective, Moishezon and Kahler loci of family II
时 间：2023.07.11（星期二）上午09:30-10:30
地 点：南楼N913
摘 要：This talk mainly concerns the projective, Moishezon and Kahler loci of a family. We first review our recent results on deformation limit and invariance of plurigenera of Moishezon manifolds, based on several joint works with I-Hsun Tsai, Yi Li and Runze Zhang. Then we talk about an in-process joint work with Mu-Lin Li and Mengjiao Wang, on various loci of a family and their applications. Among them are a Chow-type Lemma and a reverse side of one theorem of Zhiwei Wang on the modification of some special complex structure.
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报告人：王磊 （华中科技大学）
题 目：On the rigidity of proper holomorphic self-mappings of the Hua domains
时 间：2023.07.11（星期二）上午10：45-11:45
地 点：南楼N913
摘 要：Hua domain, named after Chinese mathematician Loo-Keng Hua, is defined as a domain in $\mathbb{C}^n$ fibered over an irreducible bounded symmetric domain $\Omega \subset \mathbb{C}^d$ with the fiber over $z\in \Omega$ being a $(n-d)$-dimensional generalized complex ellipsoid $\Sigma(z)$.
In 2015, Tu-Wang obtained the rigidity result that proper holomorphic mappings between two equidimensional Hua domains are biholomorphisms when the sets consisting of boundary points of Hua domains which are not strongly pseudoconvex have complex codimension at least $2$. In this article, we find a counter-example to show that the rigidity result is not true for Hua domains without this condition and obtain the rigidity of proper holomorphic self-mappings of the Hua domains in this case.
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