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過去の記録 ～04/18｜次回の予定｜今後の予定 04/19～
| 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 |
今後の予定
2024年04月22日(月)
10:30-12:00 数理科学研究科棟(駒場) 128号室
小池 貴之 氏 (大阪公立大学)
Neighborhood of a compact curve whose intersection matrix has a positive eigenvalue (Japanese)
https://forms.gle/gTP8qNZwPyQyxjTj8
小池 貴之 氏 (大阪公立大学)
Neighborhood of a compact curve whose intersection matrix has a positive eigenvalue (Japanese)
[ 講演概要 ]
Let $C$ be a connected compact complex curve of a non-singular complex surface. We will show that, if the intersection matrix of the curve $C$ has a positive eigenvalue, then there is a neighborhood $V$ of $C$ and a strictly plurisubharmonic function on $V\setminus C$ which increases logarithmically near $C$.
As an application, we show that the complement of $C$ is a proper modification of an affine variety under the additional assumption that the surface is connected and compact.
This talk is based on a joint work with Tetsuo Ueda.
[ 参考URL ]Let $C$ be a connected compact complex curve of a non-singular complex surface. We will show that, if the intersection matrix of the curve $C$ has a positive eigenvalue, then there is a neighborhood $V$ of $C$ and a strictly plurisubharmonic function on $V\setminus C$ which increases logarithmically near $C$.
As an application, we show that the complement of $C$ is a proper modification of an affine variety under the additional assumption that the surface is connected and compact.
This talk is based on a joint work with Tetsuo Ueda.
https://forms.gle/gTP8qNZwPyQyxjTj8
2024年05月13日(月)
10:30-12:00 数理科学研究科棟(駒場) 128号室
川上 裕 氏 (金沢大学)
Bloch-Ros principleとその曲面論への応用 (Japanese)
https://forms.gle/gTP8qNZwPyQyxjTj8
川上 裕 氏 (金沢大学)
Bloch-Ros principleとその曲面論への応用 (Japanese)
[ 講演概要 ]
有理型関数の値分布論と正規族の理論との間には，Bloch principleと呼ばれるある種の双対性が存在する．講演者は笠尾俊輔氏との共同研究で，ZalcmanとRosの研究をもとに，この双対性を曲面のGauss写像の値分布にまで拡張した"Bloch-Ros principle"と呼ぶ理論的枠組みを発見した．本講演では，笠尾氏との共著論文（arXiv:2402.12909）で記した"Bloch-Ros principle"の詳細を解説する．
[ 参考URL ]有理型関数の値分布論と正規族の理論との間には，Bloch principleと呼ばれるある種の双対性が存在する．講演者は笠尾俊輔氏との共同研究で，ZalcmanとRosの研究をもとに，この双対性を曲面のGauss写像の値分布にまで拡張した"Bloch-Ros principle"と呼ぶ理論的枠組みを発見した．本講演では，笠尾氏との共著論文（arXiv:2402.12909）で記した"Bloch-Ros principle"の詳細を解説する．
https://forms.gle/gTP8qNZwPyQyxjTj8
2024年05月20日(月)
10:50-12:20 数理科学研究科棟(駒場) 128号室
いつもより20分遅れて開始します。
孫 立杰 氏 (山口大学)
Kähler metrics in the Siegel domain (Japanese)
https://forms.gle/gTP8qNZwPyQyxjTj8
いつもより20分遅れて開始します。
孫 立杰 氏 (山口大学)
Kähler metrics in the Siegel domain (Japanese)
[ 講演概要 ]
The Siegel domain is endowed with an intrinsic Kähler structure, making it an exemplary model for the complex hyperbolic plane. Its boundary, characterized as the one-point compactification of the Heisenberg group, plays an important role in studying the geometry of the Siegel domain. In this talk, using the CR structure of the Heisenberg group we introduce a variety of Kähler structures within the Siegel domain. We conclude by demonstrating that all these metrics are PCR-Kähler equivalent, that is, essentially the same when confined to the CR structure. This talk is based on a joint work with Ioannis Platis and Joonhyung Kim.
[ 参考URL ]The Siegel domain is endowed with an intrinsic Kähler structure, making it an exemplary model for the complex hyperbolic plane. Its boundary, characterized as the one-point compactification of the Heisenberg group, plays an important role in studying the geometry of the Siegel domain. In this talk, using the CR structure of the Heisenberg group we introduce a variety of Kähler structures within the Siegel domain. We conclude by demonstrating that all these metrics are PCR-Kähler equivalent, that is, essentially the same when confined to the CR structure. This talk is based on a joint work with Ioannis Platis and Joonhyung Kim.
https://forms.gle/gTP8qNZwPyQyxjTj8
