报 告 人：金贤安 教授 厦门大学
报告题目：The interior and exterior polynomials
报告时间：2022年4月1日（周五）上午08:30
报告地点：腾讯会议（会议ID：320-563-107会议密码：202241）
主办单位：数学与统计学院、科学技术研究院
报告人简介：
金贤安，男，1976年2月生，厦门大学数学科学学院教授，博士生导师。主要在图论、组合纽结论以及数学化学等领域从事研究工作，已在AAM, JCTA, JGT, PAMS等国际著名学术期刊发表论文60多篇。曾多次应邀在中国组合数学与图论大会、中国数学会年会、亚洲数学大会和国际拓扑及其应用大会等著名学术会议上做邀请报告。
报告摘要：
The interior polynomial and the exterior polynomial are generalizations of valuations on (x,1) and (1,y) of the Tutte polynomial T_G(x,y) of graphs to hypergraphs, respectively. The top of the HOMFLY polynomial of a special alternating link coincides with the interior polynomial of the pair of hypergraphs induced by the Seifert graph of the link.
In this talk, we will introduce these two polynomials, giving a detailed account of their definitions, their relations with the Tutte polynomial in graph theory and the HOMFLY polynomial in knot theory. Then we give a brief account of known results, our works on coefficients, tools and ideas used in the proofs, and so on. This is a joint work with Xiaxia Guan.
References:
[1] Xiaxia Guan, Xian'an Jin, On coefficients of the interior and exterior polynomials, arXiv:2201.12531 [math.CO]