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 $E_{\alpha_k}(u_k)$.