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题  目:What are discrete spheres?


报告人:刘世平   教授(中国科学技术大学数学学院)


摘  要:The Bonnet-Myers theorem states that an n-dimensional complete Riemannian manifold M with Ricci curvature lower bounded  by a positive number (n-1)K is compact, and its diameter is no greater than $\pi/\sqrt{K}$. Moreover, Cheng’s rigidity theorem tells that the diameter estimate is sharp if and only if M is the n-dimensional round sphere. In this talk, I will discuss discrete analogues of round spheres in graph theory via exploring discrete Bonnet-Myers-Cheng type results. This talk is based on joint works with Cushing, Kamtue, Koolen, Muench, and Peyerimhoff.


时  间:2018年10月12日  10:00-12:00


地  点:蒙民伟楼1105室


邀 请 人:吕勇  老师