05-19【李宇翔】$The Bubble Tree Convergence of an \alpha_k-Harmonic Map Sequence

发布时间:2023-05-10来源:几何与物理研究中心中文网页浏览次数:101

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



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 $E_{\alpha_k}(u_k)$.