报告题目：Twist polynomial as a weight system

报 告 人：金贤安教授（厦门大学）

报告时间：2025年5月9日  10:30-11:30

报告地点：格物楼数学研究中心528

报告摘要：

This talk contains five parts. First we give a brief introduction to the knot theoretic background. In the second part, we give the definitions of ribbon graphs and their partial-dual (genus) polynomials, and some progress in this topic. Then based on Chmutov's work we prove the partial dual polynomial as a function of framed chord diagrams satisfies three four-term relations, thus can be viewed as a weight system. In the fourth part, we extend the above results to set systems and their twist (width) polynomials, i.e. introduce the 4-term relation of set systems and prove the twist polynomial satisfies it. In the last part, its connection with Hopf algebra is discussed.

报告人简介：

金贤安，厦门大学本研，北京大学博士后，2012年起任厦门大学教授和博导。主要在图论、纽结论、拟阵论及数学化学等领域从事研究工作，已发表学术论文90多篇，包括在Forum Math. Sigmma、Fund. Math.、J. Comb. Theory Ser. A、Nature Commun.、Proceedings of the AMS等著名期刊。先后主持国家自然科学基金4项，参加重点项目1项。曾应邀在美国第33届国际拓扑及其应用大会作50分钟报告等。主持国家级一流课程1门。曾获宝钢优秀教师奖、国家教学成果二等奖等。已指导毕业博士生11人和硕士生25人。现兼任福建省运筹学会秘书长等。