报告题目: On Liuoville Equation with Quantized Singularities 

报告人：魏军城教授，University of British Columbia  

报告时间：11月8日10：00-11：00

报告地点：腾讯会议号：985-967-939   

报告摘要: In this talk, I will discuss recent advances on the Liouville equation with quantized singularities: $$ \Delta u + \lambda e^u = 4\pi \sum_{j=1}^M \alpha_j \delta_{p_j}，$$ where $\alpha_j \in N$. We show that if $u=0$ on the boundary then all blow-ups are simple. In general case we also show that non-simple blow-up does not exist if there are more than two bubbling points. In the case of  potentials we show that vanishing theorems up to second order hold. (This is a joint work with Lei Zhang and D'Aprile.)