主 讲 人 ：齐云    

活动时间：2025-05-22 16:30:00

地      点 ：理科群1号楼D203室 https://us06web.zoom.us/j/86763384947?pwd=qXhOzOcHvaaiw2jqADI8iqNavdgm14.1 会议 ID: 86763384947；密码: 612593

主办单位：数学科学学院

讲座内容：

Let $\mathcal{F}$ be a family of subsets of $\mathbb{R}^d$ (with $d \geq 2$ throughout). A set $M \subseteq \mathbb{R}^d$ is said to be $\mathcal{F}$-convex if, for any pair of distinct points $x, y \in M$, there exists a set $F \in \mathcal{F}$ such that $x, y \in F$ and $F \subseteq M$. We obtain $\Gamma$-convexity when $\mathcal{F}$ consists of $\Gamma$-paths, where a $\Gamma$-path is defined as the union of the two legs of an isosceles right triangle.

In this talk, we first characterize certain $\Gamma$-convex sets. Next, we investigate $\Gamma$-starshaped sets and $\Gamma$-convexity partitions. Finally, we turn our attention to $\Gamma$-triple-convexity.

主讲人介绍：

Yun QI is a second-year PhD student at the School of Mathematical Sciences, Hebei Normal University, under the supervision of Professor Liping Yuan. Their research team focuses on topics in discrete and combinatorial geometry, currently with emphasis on the study of generalized convexity.