报告题目：An introduction to some finite geometric structures and their applications in coding theory

报告专家：陶然 山东大学 助理研究员

报告时间：2023年11月11日（周六）上午08:30-11:30

报告地点：南教1-120报告厅

线上平台：腾讯会议 会议ID：715 275 522

报告摘要：Intriguing sets of finite classical polar spaces are well studied geometric objects due to their connections with two-character sets and strongly regular graphs. In this presentation, I will share some results regarding the construction and classification of intriguing sets in finite classical polar spaces. Firstly, we will introduce the construction of new m-ovoids in Q(4,q) and Q+(7,q), respectively. Following that, we will determine all PSU3(q)-invariant intriguing sets of Q+(7,q) for q=2(mod 3) and classify the m-ovoids of finite classical polar spaces that admit a transitive automorphism group acting irreducibly on the ambient vector space. Finally, I will also introduce some finite geometric structures and their applications in subfield codes and locally repairable codes.

专家简介：陶然，2021年博士毕业于浙江大学，现为山东大学网络空间安全学院助理研究员。研究方向为代数组合、有限几何与编码理论，相关研究成果发表在《SCIENCE CHINA Mathematics》,《IEEE Transactions on Information Theory》,《Finite Fields and Their Applications》,《中国科学：数学》等期刊。