大连理工大学数学科学学院
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【湖南大学】Partition of Grassmannian induced by hyperplane arrangements

2023年12月21日 10:01  点击:[]

报告题目:Partition of Grassmannian induced by hyperplane arrangements

报 告 人:王岁杰 教授湖南大学

报告时间:2023 12 24 日(星期 9:00-9:30

报告地点:海山楼(创新园大厦)B1212

校内联系人:陈曦 副教授     联系方式:84708351-8025


报告摘要: In this talk, I will introduce a new approach to construct new hyperplane arrangements, called k-adjoint of a hyperplane arrangement, which has connections with the following objects, 1) Serve as a combinatorial decomposition of Grassmannian, equivalent to both matroid stratification and permuted Schubert decomposition; 2)Provide a combinatorial classification of all k-restrictions of a fixed hyperplane arrangement; 3) Extend the concept of adjoint of a hyperplane arrangement by Bixby and Coulard; 4) Present the anti-continuity property of some combinatorial invariants for all k-restrictions of a fixed hyperplane arrangement.


报告人简介:王岁杰,湖南大学教授、博士生导师。 2010年博士毕业于香港科技大学,2010-2011香港科技大学博士后、2011-2013台湾中央研究院博士后。主要研究超平面配置上的组合学,尤其关注超平面配置的组合分类和计数问题,相关成果发表在组合数学期刊JCTA、JCTB。


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