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Some results related to the Kazdan-Warner equations

发布时间:2024-04-30 作者: 浏览次数:
Speaker: 孙林林 DateTime: 2024年5月8日(周三)下午14:00-15:00
Brief Introduction to Speaker:

研究方向:微分几何与几何分析

Place: 六号楼二楼报告厅
Abstract: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.