Large holomorphic automorphism group

讲座题目：Large holomorphic automorphism group
讲座时间 Datetime: 2026年1月22日，周四，10:00-11:00
地点 Venue: 海琴二号A457
主持人 Host：邵国宽 教授
报告人 Speaker: 黄高枫 博士
单位 Affiliation: 瑞士伯尔尼大学

报告摘要 Abstract: 
In this talk we survey a few results in the study of large holomorphic automorphism groups. The area studies infinite dimensional group of holomorphic automorphisms of Stein manifolds. First we give a brief historical development of the so-called Andersen-Lempert theory, namely the study of these automorphism groups. This field nowadays focuses on the so-called density property and a criterion for discovering more examples. On Stein manifolds with the density property, one has a huge reservoir of automorphisms and hence a lot of flexibility in hand. 
We will also consider the symplectic setting, namely complex symplectic manifolds with large group of holomorphic symplectic automorphisms. An example is the even dimensional Euclidean space endowed with the standard complex symplectic form. Recently the Calogero-Moser space was found to admit the symplectic density property, which in turn leads to a strong approximation result for symplectic automorphisms in the Carleman sense.
报告人简介：
黄高枫，理学博士，伯尔尼大学博士后。毕业于瑞士伯尔尼大学数学系，获理学博士学位。主要从事无限维全纯自同构群的数学理论研究。目前已在J. London Math. Soc., J. Geom. Anal., Michigan Math. J., Anal. Math. Phys., Bull. Sci. Math.等数学期刊上发表文章。