报告题目:Twist polynomial as a weight system

报告人:金贤安 教授

报告时间:2025年5月9日(周五)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 knottheoretic background. In the second part, we give the definitions of ribbon graphs andtheir partial-dual (genus) polynomials, and some progress in this topic. Then based onChmutov's work we prove the partial dual polynomial as a function of framed chorddiagrams satisfies three four-term relations, thus can be viewed as a weight system. Inthe 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 twistpolynomial satisfies it. In the last part, its connection with Hopf algebra is discussed.

报告人简介:

    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.、ProceedingsoftheAMS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。