时 间:2021年11月27日14:30开始
地 点:理学院307室
报告一:Computation of resultants and its application in spectral hypergraph theory
摘 要:In this talk, we will recall some ways to calculate resultants. As an application, we will apply the Poisson formula to compute the characteristic polynomials of some hypergraphs。
报告人简介:鲍炎红,安徽贵池人,研究生学历,理学博士学位,安徽大学数学科学学院教授、博士生导师,教务处副处长,入选国家级青年人才项目计划,国家级一流本科课程负责人。主要研究方向为环与代数表示论,主持国家自然科学基金项目3项、安徽省自然科学基金杰出青年项目1项,在Adv. Math., Trans. Amer. Math. Soc.,Sci. China Math.等国内外重要学术期刊发表学术论文近20篇。
报告二:Spectra of oriented hypergraphs and signed hypergraphs
摘 要:A hypergraph is said to be oriented if each edge-vertex incidence has a label of +1 or -1. An oriented hypergraph is called incidence balanced if there exists a bipartition of the vertex set such that every edge intersects one part of the bipartition in positively incident vertices with the edge and other part in negatively incident vertices with the edge. In this talk, we will present some new results on the balanced oriented hypergraphs.
报告人简介:汪毅,安徽大学教授,数学科学学院副经理,博士生导师,安徽省学术与技术带头人后备人选,中国工业与应用数学学会理事,中国工业应用数学学会图论组合专业委员会常务委员、副秘书长,中国运筹学会图论组合分会青年理事。研究兴趣包括代数图论,整数流理论,染色理论,以及化学与理论计算机科学中的图论问题。先后在SIAM Discrete Math., European J. Combin., Electron. J. Combin. 等期刊发表论文四十余篇,先后主持国家自然科学基金4项,2013年与2017年两次获安徽省自然科学三等奖。
报告三:The spectral property of hypergraph coverings
摘 要:In this talk, we will investigate the relationship between the spectrum of a uniform hypergraph and that of its covering; in particular we consider two spectral parameters: the stabilizing index and cyclic index. By using algebraic theory, we find some similarities and differences between the spectra of simple graphs and those of hypergraphs.
报告人简介:范益政,安徽大学教授,博士,博士生导师,教育部新世纪优秀人才,安徽省学术和技术带头人,中国数学会理事,安徽省数学会副理事长,安徽大学数学科学学院经理。主要研究方向为代数组合与代数图论,主持多项国家自然科学基金项目,在Trans. AMS, Proc. AMS, J. Combin. Theory A, J. Algebraic Combin. 等期刊发表论文100余篇。