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爱游戏体育平台冠名马竞:20221206 陈波 The Schrodinger flow

发布时间:2022-12-05 08:55    浏览次数:    来源:

报告题目:The Schrodinger flow

报告人:陈波 助理教授 (华南理工大学)

邀请人:江瑞奇

报告时间:

l Lecture 1:  2022-12-06(星期二) 09:30-11:00

腾讯会议:212-984-773  会议密码:202212

l Lecture 2:  2022-12-10(星期六) 09:30-11:00

腾讯会议:503-229-020  会议密码:202212

l Lecture 3:  2022-12-13(星期二) 09:30-11:00

腾讯会议:358-952-685  会议密码:202212

报告内容:The Schrodinger flow (SF) is a Hamiltonian geometric flow with deep physical backgrounds. It was proposed by W.Y. Ding and Y.D. Wang from the viewpoint of infinite dimensional symplectic geometry, and was also independently introduced from the viewpoint of integrable systems by C. Terng and K. Uhlenbeck. In this mini-course, we are concerned with the well-posed problem of the SF on compact manifolds with or without boundary.

l Lecture 1: After a brief review of the definition and the backgrounds of the SF, we show the existence of global weak solutions to this flow from compact manifolds into S^2;

l Lecture 2: We prove the existence of local regular solutions to the SF on closed manifolds.

l Lecture 3: We show the existence of local regular solutions to the Neumann problem of the SF from 3-dimensional compact manifolds into S^2 .


报告人简介:陈波研究方向为几何分析,尤其是在具有物理背景的几何方程——the Schrodinger flow、Yang-Mills-Higgs fields取得了不错的成果,相关结果发表Trans. Amer. Math. Soc, Int. Math. Res. Not. IMRN, Commun. Pure Appl. Anal.等学术期刊上。


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