Cousin Problems for Overdetermined Systems of Partial Differential Equations
数学专题报告
报告题目(Title)：Cousin Problems for Overdetermined Systems of Partial Differential Equations
报告人(Speaker)：嵇庆春教授(复旦大学)
地点(Place)：腾讯会议： 666-446-773
时间(Time)：2022年9月20日13:30-14:30
邀请人(Inviter)：汪志威
报告摘要
The talk is based on joint work with J.Yao and G.S.Yu. We construct a resolution of the sheaf of germs of solutions of a overdetermined system of PDEs. A sufficient condition for global exactness is obtained in terms of semi-positivity and a lower bound of the rank of a quadratic form which was originally introduced by L.Hörmander. As applications of global exactness, we investigate the original overdetermined system by formulating Cousin type problems which provide approaches to gluing local solutions of overdetermined systems of PDEs.
主讲人简介
嵇庆春，复旦大学教授，研究方向是多复变函数论，在Adv.Math，Math.Ann，J.F.A.等国际期刊发表多篇论文，曾获优青项目资助，获2018年ICCM若琳奖。
