複素解析幾何セミナー

過去の記録 ~03/28次回の予定今後の予定 03/29~

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

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
[ 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 ]
https://forms.gle/vSFPoVR6ugrkTGhX7