报告题目：Metric Lower Bound Estimates for Geodesics in the Space of Kahler Potentials

报告人：胡京辰（中国科学院数学与系统科学研究院）

时间：2023年5月26日14：00-15：00   

地点：腾讯会议：641 942 705，无需密码

报告摘要：

With the metric introduced by Mabuchi-Semmes-Donaldson the space of Kahler potentials becomes an infinite dimensional Riemannian metric; and we know, based on many works, any two potentials can be connected by a $C^{1,1}$ geodesic. However, along the geodeisc metrics may degenerate. An interesting question to ask is that can we find some conditions for two potentials, so that when these conditions are satisfied, along the geodesic connecting two potentials metrics do not degenerate? In this talk, some results of the author would be presented, which provide  partial answers to this question.