香香腐宅

报告题目：Hessian type equations on closed manifolds

报告人：叶剑 （南京大学）

会议时间：2022/7/5 14:00开始

会议地点：腾讯会议，会议号：281-750-059

摘要： In this talk, we discuss some Hessian type equations on closed manifolds. We give a necessary and sufficient condition to the existence of non-trivial smooth solution to homogeneous M\"obius equation on closed manifold. Then we introduce the rigidity of closed three-dimensional vacuum static spaces. These results are based on the joint work with Prof. Xingwang Xu.

报告人简介：叶剑，现为南京大学博士后。博士毕业于中国科学技术大学和图卢兹第三大学。研究领域为非线性椭圆偏微分方程和几何分析，研究成果发表在 Invent. Math, Ann. Fac. Sci. Toulouse Math.和 Pacific J. Math等杂志上。