Speaker：Ruijun Wu（Beijing Institute of Technology）

Time：2022-11-10, 14:00

Location：Tencent Meeting ID：724-261-129（No Password）

Abstract:

We consider the critical Dirac equation on the Euclidean space, which arises from the bubbling analysis in spinorial variational problems. If the solution is a ground state, we show that it must be conformally equivalent to a Killing spinor. The proof makes use of the classification results of Yamabe type problems and serves as a generalization of Obata theorem in the spinorial setting. We will also talk about some further problems in this field. This is a joint work with A. Malchiodi and W. Borrelli.