报告题目：Brouwer degree for Kazdan-Warner equations on a connected finite graph
报告人：孙林林（武汉大学）
报告时间：2023年4月14日14:00-15:00
报告地点：国学楼110教室
报告摘要：We study Kazdan-Warner equations on a connected finite graph via the method of the degree theory. Firstly, we prove that all solutions to the Kazdan-Warner equation with nonzero prescribed function are uniformly bounded and the Brouwer degree is well defined. Secondly, we compute the Brouwer degree case by case. As consequences, we give new proofs of some known existence results for the Kazdan-Warner equation on a connected finite graph. This is a joint work with Dr. Wang Liuquan.
报告人简介：孙林林，武汉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。