应兰州大学数学与统计学院邀请，香港科技大学计算机科学及工程学系闫茜茜博士将于2024年12月13日下午举行学术报告。

报告题目:The first infinite family of orthogonal Steiner systems S(3,5,v)

时间：2024年12月13日14：30

地点：理工楼631

欢迎广大师生光临!

报告摘要：The research on orthogonal Steiner systems S(t,k,v)was initiated in 1968. For (t,k)\in {(2,3),(3,4)}, this corresponds to orthogonal Steiner triple systems (STSs) and Steiner quadruple systems (SQSs), respectively. The existence problem of a pair of orthogonal STSs or SQSs was settled completely thirty years ago. However, for Steiner systems with t>=3 and k>=5, only two small examples of orthogonal pairs were known to exist before this work. In this talk I will introduce a way of constructing an infinite family of orthogonal Steiner systems S(3,5,v). In particular, the existence of a pair of orthogonal Steiner systems S(3,5,4^m+1) is established for any even m>=2; additionally a pair of orthogonal G-designs G(\frac{4^m+1}{5},5,5,3) is displayed for any odd m>=3. This work is joint with Prof. Junling Zhou.

报告人简介

闫茜茜，2024年博士毕业于北京交通大学，现为香港科技大学计算机科学及工程学系博士后，在IEEE TIT、JCTA等期刊上发表SCI论文4篇。

数学与统计学院

甘肃应用数学中心

甘肃省高校应用数学与复杂系统省级重点实验室

2024年12月11日