188比分直播

Intersection groups of matroids and the Dowling-Wilson conjecture

发布者:文明办发布时间:2024-04-26浏览次数:145

主讲人:王博潼 威斯康星麦迪逊分校副教授


时间:2024年5月6日13:30


地点:三号楼332室


举办单位:数理学院


主讲人介绍:2002年获国际数学奥林匹克金牌(满分),2006年获北京大学学士,2012年获普渡大学博士,2019年获美国斯隆奖。研究兴趣主要是代数簇的拓扑学,以及将其应用于组合数学、代数统计等方面。他的代表性工作是与菲尔兹奖得主June Huh教授合作,于2017年证明了组合数学中著名的Dowling-Wilson猜想。他在Acta Math., CPAM, Memory of AMS, JEMS, Ann. Sci. Ecole Norm. Sup., JDG, Crell, Adv. math., Geom. Topo., Compos. math., IMRN等著名期刊发表40余篇论文。


内容介绍:A few long-standing conjectures in combinatorial geometry have been resolved recently using ideas from algebraic geometry. In this talk, I will give an overview of one of these results, the proof of the Dowling-Wilson conjecture on the Whitney numbers of the second kind. Some key ingredients are the intersection cohomology group of the matroid Schubert variety and its hard Lefschetz theorem. If time permits, I will also discuss some interesting phenomenons when the coeffieient field is of positive characteristics.