中科院数学与系统科学研究院

数学研究所

学术报告

微分几何研讨班

报告人：李驰教授（罗格斯大学）

题  目： Kahler structures for holomorphic submersions

时  间：2024.07.18（星期四）14:00-15:00

地    点：数学院南楼N818

摘  要：We prove a criterion for the existence of Kahler structure for any holomorphic submersion. This criterion generalizes Blanchard's criterion for the isotrivial case and is a converse to Blanchard-Deligne’s result on degeneration of Leray spectral sequences. We then discuss its application to a question of Harvey-Lawson in the case of fiber dimension one and to the existence of Hermitian-Symplectic structures. Some open question about singular fibrations will also be discussed.