离散单调群与Hodge理论Discrete monodromy groups and Hodge theory |
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课程网址: | https://videolectures.net/8ecm2021_filip_discrete_monodromy/ |
主讲教师: | Simion Filip |
开课单位: | 8ECM会议 |
开课时间: | 2021-07-06 |
课程语种: | 英语 |
中文简介: | 微分方程的单调性已经研究了很长时间,为复分析、代数几何和动力系统中的许多概念提供了动力。在提供了必要的背景之后,我将介绍动力学思想在代数变种族的单调群研究中的一些应用,并解释它们与微分方程的关系。我还将描述李群的离散子群的有趣类和Hodge理论之间的一些联系。 |
课程简介: | The monodromy of differential equations has been studied for a long time, providing motivation for many of the concepts in complex analysis, algebraic geometry, and dynamical systems. After providing the necessary background, I will present some applications of ideas from dynamics to the study of monodromy groups of families of algebraic varieties, and explain how they relate to differential equations. I will also describe some connections between interesting classes of discrete subgroups of Lie groups and Hodge theory. |
关 键 词: | 离散单调群; Hodge理论; 代数几何 |
课程来源: | 视频讲座网 |
数据采集: | 2024-05-23:liyq |
最后编审: | 2024-05-23:liyq |
阅读次数: | 2 |