加厚带状舒尔函数的等式
2024.06.19
投稿：龚惠英部门：理学院浏览次数：
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报告题目 (Title)： Equality of thickened ribbon Schur functions（加厚带状舒尔函数的等式）
报告人 (Speaker)：靳宇教授（厦门大学）
报告时间 (Time)：2024年6月27日（周四）10:00-11:00
报告地点 (Place)：校本部GJ303
邀请人(Inviter)： 陈旦旦
主办部门：理学院数学系
报告摘要： Two skew diagrams are defined to be equivalent if their corresponding skew Schur functions are equal. The equivalence classes for ribbons have been classified by Billera, Thomas and van Willigenburg in 2006. In this paper, we provide a complete characterization of equivalence classes for connected skew diagrams with exactly one $2\times m$ or $m\times 2$ block of boxes for all $m\ge 2$. In particular, possible sizes of equivalence classes are one, two or four, highlighting that the single rectangular shape dramatically reduces the sizes of equivalent classes. This confirms special cases of the elusive conjecture on equivalent skew connected diagrams proposed by McNamara and van Willigenburg in 2009. This is joint work with Shuxiao Li.
