複素解析幾何セミナー

過去の記録 ~06/28次回の予定今後の予定 06/29~

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, 野村 亮介

今後の予定

2022年07月04日(月)

10:30-12:00   オンライン開催
オンライン「のみ」となっております。参加される場合は参考URLからご登録ください。
山ノ井 克俊 氏 (大阪大学)
Bloch's principle for holomorphic maps into subvarieties of semi-abelian varieties (Japanese)
[ 講演概要 ]
We discuss a generalization of the logarithmic Bloch-Ochiai theorem about entire curves in subvarieties of semi-abelian varieties, in terms of sequences of holomorphic maps from the unit disc.

This generalization implies, among other things, that subvarieties of log general type in semi-abelian varieties are pseudo-Kobayashi hyperbolic.

As another application, we discuss an improvement of a classical theorem due to Cartan in 1920's about the system of nowhere vanishing holomorphic functions on the unit disc satisfying Borel's identity.
[ 参考URL ]
https://forms.gle/hYT2hVhDE3q1wDSh6

2022年07月11日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室
対面・オンラインのハイブリッド形式で行います。オンライン参加される場合は参考URLからご登録ください。
松本 佳彦 氏 (大阪大学)
The CR Killing operator and Bernstein-Gelfand-Gelfand construction in CR geometry (Japanese)
[ 講演概要 ]
In this talk, I introduce the CR Killing operator associated with compatible almost CR structures on contact manifolds, which describes trivial infinitesimal deformations generated by contact Hamiltonian vector fields, and discuss how it can also be reconstructed by the Bernstein-Gelfand-Gelfand construction in the general theory of parabolic geometries. The “modified” adjoint tractor connection defined by Cap (2008) plays a crucial role. If time permits, I’d also like to discuss what this observation might mean in relation to asymptotically complex hyperbolic Einstein metrics, which are bulk geometric structures for compatible almost CR structures at infinity.
[ 参考URL ]
https://forms.gle/hYT2hVhDE3q1wDSh6