应姚海元副教授、陈祥恩教授邀请,厦门大学马天龙博士将来我院作学术报告。
报告题目:Convolution formulas for multivariate arithmetic Tutte polynomials
报告摘要:The multivariate arithmetic Tutte polynomial of arithmetic matroid is a generalization of the multivariate Tutte polynomial of matroid. In this talk, we will give the convolution formulas for the multivariate arithmetic Tutte polynomial of the product of two arithmetic matroids. In particular,the convolution formulas for the multivariate arithmetic Tutte polynomialof an arithmetic matroid are obtained. Applying our results,severalknown convolution formulas are proved by a purely combinatorialproof. The proofs presented here are significantly shorter than the previous ones.In addition, we obtain a convolution formula for the characteristic polynomial of an arithmetic matroid. This is a joint work with Xian'an Jin and Weiling Yang.
报告地点:教学9号楼C101
邀 请 人:姚海元副教授、陈祥恩教授
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报告人简介
马天龙,厦门大学博士,曾于青海大学获副教授。美国《数学评论》评论员。主要从事图论、拟阵、Tutte多项式、匹配等方面的研究工作,已在Adv. Appl. Math.、J. Graph Theory、Electron J. Combin.等国际著名学术期刊上发表论文十余篇。
甘肃省数学与统计学基础学科研究中心
数学与统计学院
2024年4月26日