Complex methods in General Relativity
Following a brief introduction to complex manifolds, the course will explore connections between general relativity, the Einstein equation,and complex geometry. Among the topics I would like to cover are manifestations of Kähler and Hermitian geometry in general relativity, as well as twistor theory and its applications in general relativity and field theory.
The course will be accessible to advanced undergraduates with a good background in differential geometry. The format of the course will be a seminar, with coordinated lectures by participants. Examination will be in the form of presentations in the context of the course.
The course will be accessible to advanced undergraduates with a good background in differential geometry. The format of the course will be a seminar, with coordinated lectures by participants. Examination will be in the form of presentations in the context of the course.
讲师
日期
2023年02月28日 至 05月30日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周二 | 15:20 - 17:50 | JCY-Hall | ZOOM 07 | 559 700 6085 | BIMSA |
参考资料
Literature for the course includes
1. M. Carmeli, S. Malin, Theory of Spinors : An Introduction
2. Flaherty, Hermitian and Kaehlerian geometry in relativity (LN Phys 46)
3 Huggett and Tod, An introduction to twistor theory
4. Penrose and Rindler, Spinors and spacetime, vol I, II.
5. NICHOLAS WOODHOUSE, The Real Geometry of Complex Space-Tim
as well as selected papers.
1. M. Carmeli, S. Malin, Theory of Spinors : An Introduction
2. Flaherty, Hermitian and Kaehlerian geometry in relativity (LN Phys 46)
3 Huggett and Tod, An introduction to twistor theory
4. Penrose and Rindler, Spinors and spacetime, vol I, II.
5. NICHOLAS WOODHOUSE, The Real Geometry of Complex Space-Tim
as well as selected papers.
听众
Undergraduate
, Graduate
视频公开
公开
笔记公开
公开
语言
英文
讲师介绍
Lars Andersson现任北京雁栖湖应用数学研究院研究员，曾在斯德哥尔摩皇家理工学院、迈阿密大学担任教授，曾任马克斯普朗克研究所几何与引力首席科学家，并在阿尔伯特·爱因斯坦研究所领导一个研究小组。他是微分几何与数学物理领域知名专家，荣获克劳福德建设奖、多布卢格奖。他主要研究广义相对论、数学物理和微分几何的相关问题，并为宇宙学模型、表观视界和自引力弹性体的数学分析做出了贡献。Lars-Andersson最近的研究兴趣包括黑洞稳定性问题、引力瞬子和引力自旋霍尔效应。