图 书 馆
利玛窦曲率界综合理论——当信息论、优化、几何和梯度流相遇时Synthetic theory of Ricci curvature - when information theory, optimization, geometry and gradient flows meet |
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| 课程网址: | http://videolectures.net/colt2015_villani_ricci_curvature/ |
| 主讲教师: | Cédric Villani |
| 开课单位: | 亨利·庞加莱学院 |
| 开课时间: | 2015-08-20 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | This is the story of a mathematical theory which was born from the encounter of several fields. Those fields were: Riemannian geometry, gradient flows, information, and optimal transport; and their encounter took place about 15 years ago. A major result of the interaction was the synthetic theory of Ricci curvature bounds, which was formalized around 2005 and now seems to be reaching maturity, after ten years of fast, sustained growth. As the theory is still in rapid evolution, it is often difficult, even for experts, to trace its progress accurately. |
| 关 键 词: | 数学理论; 黎曼几何; 综合理论 |
| 课程来源: | 视频讲座网 |
| 数据采集: | 2023-06-08：chenxin01 |
| 最后编审: | 2023-06-08：chenxin01 |
| 阅读次数: | 22 |