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Connectivity and Curvature

组织者

白淑亮

演讲者

刘世平

时间

2026年08月25日 15:00 至 16:00

地点

A3-4-101

线上

Zoom 518 868 7656 (BIMSA)

摘要

In this talk, we discuss interactions between the fundamental concept of connectivity from graph theory and discrete notions of Ricci curvature originating from differential geometry. This includes various estimates of connectivity in terms of curvature, refining some classical results dating back to H. Whitney. As an application, we show that any regular graph of even order with non-negative curvature has a perfect matching. This is based on joint works with Kaizhe Chen (USTC), Jack Koolen (USTC), Qing Xia (USTC), and Zhe You (ECUST).

演讲者介绍

刘世平，中国科学技术大学教授。2012 年于德国莱比锡马普数学所和莱比锡大学获博士学位。先后在德国莱比锡马普数学所做博士后、在英国杜伦大学任研究助理。 2016 年入选第七批国家级青年人才计划，同年至今在中国科学技术大学工作。主要感兴趣于离散曲率和图谱理论等。在 Adv. Math., J. Reine Angew. Math., Math. Ann., IMRN, CVPDE, Combinatorica等期刊上发表学术论文多篇。