图 书 馆
从Kahler-Einstein度量到zeta函数的零点From Kahler-Einstein metrics to zeros of zeta functions |
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| 课程网址: | https://videolectures.net/8ecm2021_berman_from_metrics/ |
| 主讲教师: | Robert Berman |
| 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: | While the existence of a unique K¨ahler-Einstein metrics on a canonically polarized manifold X was established already in the seventies there are very few explicit formulas available (even in the case of complex curves!). In this talk I will give a non-technical introduction to a probabilistic construction of K¨ahler-Einstein metrics, which, in particular, yields canonical approximations of the K¨ahler-Einstein metric on X. The approximating metrics in question are expressed as explicit period integrals and the conjectural extension to the case of a Fano variety leads to some intriguing connections to zeros of some Archimedean zeta functions. |
| 关 键 词: | Kahler度量; zeta函数; 阿基米德函数 |
| 课程来源: | 视频讲座网 |
| 数据采集: | 2024-05-29：liyq |
| 最后编审: | 2024-05-31：liyq |
| 阅读次数: | 10 |