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複素解析幾何セミナー
過去の記録 ～11/03｜次回の予定｜今後の予定 11/04～
| 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11月16日(月)
10:30-12:00 数理科学研究科棟(駒場) 126号室
平地 健吾 氏 (東京大学)
Variation of characteristic numbers of strictly pseudoconvex domains (Japanese)
https://forms.gle/8ERsVDLuKHwbVzm57
平地 健吾 氏 (東京大学)
Variation of characteristic numbers of strictly pseudoconvex domains (Japanese)
[ 講演概要 ]
Renormalized characteristic numbers of strictly pseudoconvex domains give rise to global CR invariants of their boundaries. In this talk, I will present first-variation formulas for these invariants using the ambient metric. As an application, I will discuss a conjecture of Takeuchi expressing the Burns–Epstein invariant in terms of generalized total Q-prime curvatures, and establish it for boundaries obtained by smooth deformations of the sphere.
[ 参考URL ]Renormalized characteristic numbers of strictly pseudoconvex domains give rise to global CR invariants of their boundaries. In this talk, I will present first-variation formulas for these invariants using the ambient metric. As an application, I will discuss a conjecture of Takeuchi expressing the Burns–Epstein invariant in terms of generalized total Q-prime curvatures, and establish it for boundaries obtained by smooth deformations of the sphere.
https://forms.gle/8ERsVDLuKHwbVzm57
