报告题目：Some results related to the Kazdan-Warner equations

报告摘要：The Kazdan-Warner equation on surface comes from the prescribed Gaussian curvature problem, and also appears in various contexts such as the abelian Chern-Simons-Higgs models. I shall talk about some results related to the Kazdan-Warner equations on surfaces or finite graphs, including the elliptic method and parabolic approach to the Kazdan-Warner equations on surfaces with sigh-changed prescribing function, as well as the topological method to the existence of Kazdan-Warner equations on surfaces or finite graphs.

报告人简介：孙林林，广西师范大学数学与统计学院副教授，湖北省2020年度“楚天学者计划”楚天学子入选者，主要从事几何流、子流形的几何与拓扑等方面的研究，在JEMS, AIM, AIHPC, JFA, JDE, CVPDE, Math. Z等杂志上发表论文二十余篇。

报告时间：2024年10月25日 10:30-12:00

报告地点：同析4号楼 322会议室