Chern connections and conformal metrics

报告专家:马力 教授(北京科技大学)

报告时间:6月23日(星期一)上午10:00-11:00

报告地点:国家天元数学西南中心516

报告摘要:According to MR classification code in the 2020 Mathematics Subject Classification “53E30 Flows related to complex manifolds (e.g., Kaehler-Ricci flows, Chern-Ricci flows)”, the heat flow approaches of metrics on complex manifolds are popular and favorite methods to obtain the optimal metrics. To get the local in time solution of the flow, one need to reduce it to fully nonlinear parabolic equations. We discuss some results about the Chern-Ricci flow on closed (non-Kaehler) complex manifolds. As an example, we study the Chern-Ricci flow on Hopf manifolds and discuss the blow-up behavior of the flow. Related open question about the global flows may also be presented.

专家简介:马力, 北京科技大学教授,博士生导师。1989年博士毕业于中国科学院数学所,师从王光寅研究员和丁伟岳院士;1991年北京大学数学系博士后出站,合作导师张恭庆院士。马力教授主要从事几何分析和非线性分析、偏微分方程的研究。近期在黎曼几何的重要问题比如Yamabe流, Ricci流等方面取得了一系列重要的研究成果。在Adv. Math., J. Math. Pures Appl., Arch. Ration. Mech. Anal., J. Funct. Anal., JDE, Comm. Math. Phy., CVPDE等著名学术期刊上发表多篇论文。长期担任了两个国际数学sci杂志(AGAG, JPDOA)编委。

邀请人:盛利


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