报告题目：Applications of Linear Algebraic Methods in Combinatorics and Finite Geometry

报 告 人：向 青 教授

报告时间：7月24日（星期一）16:00

报告地点：清水河校区主楼A1-512

报告摘要：Most combinatorial objects can be described by incidence, adjacency, or some other (0,1)-matrices. So one basic approach in combinatorics is to investigate combinatorial objects by using linear algebraic parameters (ranks over various fields, spectrum, Smith normal forms, etc.) of their corresponding matrices. In this talk, we will look at some successful examples of this approach; some examples are old, and some are new. In particular, we will talk about the recent bounds on the size of partial spreads of H(2d-1,q^2) and on the size of partial ovoids of the Ree-Tits octagon.

报告人简介：向青教授，现为美国特拉华(Delaware)大学教授、国家海外杰出青年科学基金获得者、国际组合数学及其应用协会Fellow。主要研究方向为组合设计、有限几何、编码和加法组合。现为国际组合数学界权威SCI期刊《The Electronic Journal of Combinatorics》主编，同时担任SCI期刊《Journal of Combinatorial Designs》、《Designs, Codes and Cryptography》的编委。曾被授予由国际组合数学及其应用协会颁发的杰出青年学术成就奖—“Kirkman Medal”。在国际组合数学界最高级别杂志《J. Combin. Theory Ser. A》、《Trans. Amer. Math. Soc.》、《IEEE Trans. Inform. Theory》等重要国际期刊上发表学术论文80余篇。主持完成美国国家自然科学基金、美国国家安全局科研项目等科研项目10余项。被邀在国际学术会议上作大会报告或特邀报告50余次。