UBC DG-MP-PDE Seminar: Han Lu

Abstract: Conformally invariant equations in n \geq 3 have played an important role in the study of \sigma_2-Yamabe problem in geometric analysis. In this talk, we will discuss a class of Mobius invariant equations in dimension two and then present a Liouville type theorem for such equations. We will then discuss a \sigma_2-Nirenberg problem on S^2. This is a joint work with Yanyan Li and Siyuan Lu.