中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
多复变与复几何学术活动
Some Topics in Several Complex Variables
报告人：Franc Forstnerič (院士) (University of Ljubljana)
题 目：Oka manifolds and applications (I)
时 间：11月8日(星期二), 17:00-19:00
地 点：ZOOM ID: 4120194771, password: mcm1234
---------------------
题 目：Oka manifolds and applications (II)
时 间：11月15日(星期二), 17:00-18:00
地 点：ZOOM ID: 4120194771, password: mcm1234
---------------------
题 目：Oka manifolds and applications (III)
时 间：11月15日(星期二), 18:00-19:00
地 点：ZOOM ID: 4120194771, password: mcm1234
---------------------
题 目：Oka manifolds and applications (IV)
时 间：11月22日(星期二), 17:00-18:00
地 点：ZOOM ID: 4120194771, password: mcm1234
---------------------
题 目：Oka manifolds and applications (V)
时 间：11月22日(星期二), 18:00-19:00
地 点：ZOOM ID: 4120194771, password: mcm1234
摘 要： In this series of talks, I will present some recent developments in the theory of Oka manifolds and their applications. After a brief review of the classical Oka-Grauert theory, I shall recall the notion of an Oka manifold and an Oka map, which are central objects of the theory. In the continuation, I will present the two main known characterizations of this class of manifolds and maps, discuss the methods to find new Oka manifolds from known ones, and survey the examples. In the last part, I shall present applications of Oka theory in the classical theory of minimal surfaces in Euclidean spaces.
References
1. Franc Forstnerič: Stein manifolds and holomorphic mappings. The homotopy principle in complex analysis. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 56. Second Edition. Springer International, Cham, 2017.
2. F. Forstnerič: Recent developments on Oka manifolds. Preprint, October 2022.
3. A. Alarcón, F. Forstnerič, and F. J. López: Minimal Surfaces from a Complex Analytic Viewpoint. Springer Monographs in Mathematics, Springer, Cham, 2021.
4. A. Alarcón and F. Forstnerič: New complex analytic methods in the theory of minimal surfaces: a survey. J. Aust. Math. Soc., 106(3):287-341, 2019.
附件：