报告题目：Kähler-Finsler manifolds with positive curvatures

报告人：邱春晖教授，厦门大学

报告时间：2026年6月5日（周五）14:00-17:00

报告地点：20-308

报告摘要：In this talk, we will study Kähler-Finsler manifolds with positive curvatures. We initially establish a relationship between the holomorphic bisectional curvature and horizontal flag curvature. Utilizing this observation along with the complex second variation formula, we demonstrate Myers type theorems and Frankel type intersection theorems on Kähler-Finsler manifolds.  Subsequently, we present some vanishing theorems and their applications on complex Finsler manifolds.  Finally, we establish the proof of the Frankel conjecture for Kähler-Finsler surfaces.This work is joint with Jinling Li, Jintang Li and Qixin Zhang. 

报告人简介：邱春晖，厦门大学数学科学学院教授，博士生导师。主要研究领域为多复变函数论和复Finsler几何，在Adv. Math.，Math. Z，J. Geom. Anal.等期刊发表论文60多篇。主持国家自然科学基金重点项目1项、面上项目7项、数学“天元”基金项目5项，担任厦门市数学学会理事长。多次组织多复变与复几何、Finsler几何学术会议和研究生暑期学校。

邀请人：倪磊