05-19【李宇翔】腾讯会议 Shanghai Maths Seminar 2023 之 004

发布者:王欣发布时间:2023-05-15浏览次数:10


告题目:The Bubble Tree Convergence of an $\alpha_k$-Harmonic Map Sequence

报告人:李宇翔(清华大学)

时间:2023年5月19日上午10:00-11:00

地点:腾讯会议号:387 736 627 ,无需密码

报告摘要:

In this talk, we will explore the blowup properties of a sequence of $\alpha_k$-harmonic maps, denoted as $u_k$, from a closed surface $\Sigma$ to a closed manifold $(N,h)$. We will 


1. prove that the neck region is composed of geodesics;


2. establishing a weak energy identity;


3. verifying an energy identity under the conditions of $Ric_h > 0$ and the boundedness of the index of $E_{\alpha_k}(u_k)$.