赌博网站 学术报告[2025] 047号

(高水平大学建设系列报告1069号)

报告题目: Rigidity of holomorphic map between bounded symmetric domains preserving Shilov boundaries

报告人：高云 副教授（上海交通大学）

报告时间：2025年6月24日 2：30-3：30

讲座地点：汇文楼1420

报告内容：The study of rigidity of holomorphic maps originated from the work of Poincaré and later Alexander for maps sending one open piece of the sphere into another. Webster obtained rigidity for holomorphic maps between pieces of spheres of different dimension, proving that any such map between spheres in C^n and C^{n+1} is totally geodesic. There are plenty of results about the holomorphic proper mapping between balls and generalized balls. The rigidity for maps between bounded symmetric domains are more complicated. Mok conjectures that If the rank r of D does not exceed the rank r’of D’and both ranks r,r’>1, then the proper holomorphic maps is totally geodesic. There are some results about this conjecture. In 2007, Kim and Zaitsev proved the rigidity of locally defined CR embeddings between Shilov boundaries of general Cartan type I bounded symmetric domains of higher rank. In this talk, we will introduce a different method coming from algebraic geometry to study this kind of map and prove the rigidity of holomorphic mapping between bounded symmetric domains preserving Shilov boundaries from rank 1 bounded symmetric domains to higher rank.

报告人简介：高云，上海交通大学副教授，研究方向为代数几何与复几何，论文发表在J. Math. Pures Appl.、 Math. Ann.、 Int. Math. Res. Not. IMRN 等知名学术期刊，主持和参与多项国家自然科学基金。

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