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過去の記録 ～06/18｜次回の予定｜今後の予定 06/19～
| 開催情報 | 月曜日 10:30～12:00 数理科学研究科棟(駒場) 128号室 |
|---|---|
| 担当者 | 平地 健吾, 高山 茂晴 |
2025年06月23日(月)
10:30-12:00 数理科学研究科棟(駒場) 128号室
菊池 翔太 氏 (鈴鹿工業高等専門学校)
Some properties of Azukawa pseudometrics for pluricomplex Green functions with poles along subvarieties (Japanese)
https://forms.gle/gTP8qNZwPyQyxjTj8
菊池 翔太 氏 (鈴鹿工業高等専門学校)
Some properties of Azukawa pseudometrics for pluricomplex Green functions with poles along subvarieties (Japanese)
[ 講演概要 ]
The Azukawa pseudometric is defined as the difference between the pluricomplex Green function and its logarithmic term along each complex lines passing through a pole. Therefore, the Azukawa pseudometric is useful to study the behavior of the pluricomplex Green function around a pole. It is also known that the Azukawa pseudometric is closely related to several important objects in complex analysis, including the Crath\'{e}odory-Reiffen pseudometric, the Kobayashi-Reiffen pseudometric, the Bergman kernel, among others.
In this talk, we present some properties and applications of an analogue of the Azukawa pseudometric for the pluricomplex Green function with poles along subvarieties.
If time permits, I will also explain my recent studies related to this topic.
[ 参考URL ]The Azukawa pseudometric is defined as the difference between the pluricomplex Green function and its logarithmic term along each complex lines passing through a pole. Therefore, the Azukawa pseudometric is useful to study the behavior of the pluricomplex Green function around a pole. It is also known that the Azukawa pseudometric is closely related to several important objects in complex analysis, including the Crath\'{e}odory-Reiffen pseudometric, the Kobayashi-Reiffen pseudometric, the Bergman kernel, among others.
In this talk, we present some properties and applications of an analogue of the Azukawa pseudometric for the pluricomplex Green function with poles along subvarieties.
If time permits, I will also explain my recent studies related to this topic.
https://forms.gle/gTP8qNZwPyQyxjTj8
