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複素解析幾何セミナー
過去の記録 ～10/06｜次回の予定｜今後の予定 10/07～
| 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 |
2020年05月18日(月)
10:30-12:00 オンライン開催
糟谷久矢 氏 (大阪大学)
Higgs bundles and flat connections over compact Sasakian manifolds
https://forms.gle/vSFPoVR6ugrkTGhX7
糟谷久矢 氏 (大阪大学)
Higgs bundles and flat connections over compact Sasakian manifolds
[ 講演概要 ]
It is known that on a compact Kähler manifold, there is a correspondence between semisimple flat vector bundles and polystable higgs bundles with vanishing Chern classes via harmonic metrics (Simpson-Corlette). The purpose of this talk is to give the Sasakian (odd dimensional analogue of Kähler geometry) version of this correspondence. We prove that on a compact Sasakian manifold, there is an correspondence between semisimple flat vector bundles and the polystable basic Higgs bundles with vanishing basic Chern classes. (Joint work with Indranil Biswas, arXiv:1905.06178)
[ 参考URL ]It is known that on a compact Kähler manifold, there is a correspondence between semisimple flat vector bundles and polystable higgs bundles with vanishing Chern classes via harmonic metrics (Simpson-Corlette). The purpose of this talk is to give the Sasakian (odd dimensional analogue of Kähler geometry) version of this correspondence. We prove that on a compact Sasakian manifold, there is an correspondence between semisimple flat vector bundles and the polystable basic Higgs bundles with vanishing basic Chern classes. (Joint work with Indranil Biswas, arXiv:1905.06178)
https://forms.gle/vSFPoVR6ugrkTGhX7
