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泊松几何缩略图的邀请An invitation to Poisson Geometry |
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| 课程网址: | https://videolectures.net/8ecm2021_crainic_poisson_geometry/ |
| 主讲教师: | Marius Crainic |
| 开课单位: | 8ECM会议 |
| 开课时间: | 2021-07-06 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | Poisson structures originate in the work of Lagrange and Poisson on the motion of planets in the solar system; the process of understanding them was long and it prompted the discovery of several fundamental concepts in mathematics, such as: Jacobi identity, Maurer-Cartan equations, etc. Poisson Geometry (the geometric study of Poisson structures) can be traced back to the work of Lie and Kirilov; the first systematic studies are found in the work of Lichnerowicz in the 1970s and Weinstein in the 1980s. Its remarkable development over the last few decades was driven by several problems (such as integrability or Conn’s linearization theorem) and led to surprising new connections with various other fields. All these led to the present-day understanding of Poisson Geometry: it is an amalgam of Lie Theory, Symplectic Geometry and Foliation Theory, offering the framework for exciting interactions between these theories, as well as others. In the talk I will try to expand this abstract. |
| 关 键 词: | 缩略图; 雅可比恒等式; 泊松几何 |
| 课程来源: | 视频讲座网 |
| 数据采集: | 2024-05-28：liyq |
| 最后编审: | 2024-05-28：liyq |
| 阅读次数: | 19 |