本文印刷
全画面プリント
複素解析幾何セミナー
過去の記録 ～04/26｜次回の予定｜今後の予定 04/27～
| 開催情報 | 月曜日 10:30～12:00 数理科学研究科棟(駒場) 126号室 |
|---|---|
| 担当者 | 平地 健吾, 高山 茂晴 |
2026年04月27日(月)
10:30-12:00 数理科学研究科棟(駒場) 126号室
大野 高志 氏 (京大数理研)
Manton’s Exotic Vortex Equations (Japanese)
https://forms.gle/8ERsVDLuKHwbVzm57
大野 高志 氏 (京大数理研)
Manton’s Exotic Vortex Equations (Japanese)
[ 講演概要 ]
The vortex equation is a second-order PDE on a Riemann surface, defined in terms of a triple consisting of a holomorphic line bundle, a section, and a Hermitian metric. Its solutions are closely related to Hermitian–Einstein metrics and to geometric structures such as metrics with conical singularities. In https://arxiv.org/abs/1612.06710, Manton introduced several generalizations of the vortex equation, leading to five distinct types of vortex equations, which we refer to as Manton’s exotic vortex equations. In this talk, I will introduce these equations and discuss the existence of their solutions. I will also explain how these solutions can be obtained via dimensional reduction of a solution of Hermitian–Einstein equation.
[ 参考URL ]The vortex equation is a second-order PDE on a Riemann surface, defined in terms of a triple consisting of a holomorphic line bundle, a section, and a Hermitian metric. Its solutions are closely related to Hermitian–Einstein metrics and to geometric structures such as metrics with conical singularities. In https://arxiv.org/abs/1612.06710, Manton introduced several generalizations of the vortex equation, leading to five distinct types of vortex equations, which we refer to as Manton’s exotic vortex equations. In this talk, I will introduce these equations and discuss the existence of their solutions. I will also explain how these solutions can be obtained via dimensional reduction of a solution of Hermitian–Einstein equation.
https://forms.gle/8ERsVDLuKHwbVzm57
