报告题目：Canonical Metric Connections, Curvature Conjectures and Special Hermitian Metrics on Compact Complex Manifolds

报告人：陈淑文博士，重庆师范大学

报告时间：2026年5月22日（周五）14:00-15:00

报告地点：20-308

报告摘要：We investigate canonical metric connections on compact complex manifolds and three open conjectures in non-Kähler geometry: the constant holomorphic sectional curvature conjectures for the canonical metric connection family, Tang's mixed curvature conjecture, and the Streets-Tian conjecture. These conjectures are known to be true in complex dimension two, but remain open in higher dimensions. We verify these three conjectures on Bismut torsion parallel (BTP) manifolds and specialLie-Hermitian manifolds,including complex nilmanifolds, solvmanifolds withcomplex commutators, Lie-Hermitian manifolds associated with almost abelian Lie groups, Lie-Hermitian manifolds whose Lie algebras admit a J-invariant abelian ideal of codimension two, and 2-step solvmanifolds, and provide an explicit characterization of the associated special Hermitian metrics.Joint work with Fangyang Zheng.

报告人简介：陈淑文，重庆师范大学博士。研究方向为复几何，导师为郑方阳教授。相关研究工作发表在J.Geom. Ana，Mediterr. J. Math.，J. Geom. Phy., Pacific. J. Math等知名数学期刊上。主持及参与重庆市科研创新项目2项。

邀请人：几何与信息流研究所