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

Time:2023-05-11Views:29

Speaker: Yuxiang Li(Tsinghua University)

Time: 10:00-11:00,  May 19, 2023

Room: Tencent Meeting: 387-736-627, no password



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 $E_{\alpha_k}(u_k)$.