题目：On the Structure of Busemann Spaces and Alexandrov Spaces 

报告人：韩邦先（山东大学）

教室： 5301

时间： 2025年11月11日， 10:00-11:00

摘要：Recently Liming Yin and I extend the structure theory of Burago-Gromov-Perelman for Alexandrov spaces with curvature bounded below, to the setting of Busemann spaces with non-negative curvature.  In this talk, besides introducing our results,  I will focus on the comparison between Busemann spaces and  Alexandrov spaces, namely  Finslerian nature of  Busemann spaces and Riemannian nature of  Alexandrov spaces. If time permitted,  I will talk about some applications including the stability of optimal transport maps in non-smooth settings.