演講公告
新聞標題: ( 2025-03-26 )
演講主題:The Colored Generalizations of Stirling numbers of both kinds and the Lah numbers
主講人:高至芃 教授(輔仁大學 數學系)
演講日期:114年4月22日(星期二) 下午14:00 –15:00
演講地點:(光復校區) 科學一館213室
摘要內容:
Abstract. Recently in the area of enumerative combinatorics, the $q$-analogue of combinatorial structures have been studied widely. Specifically, the aim of this work is to identify two statistics over combinatorial structure $S$ and a proper subset $S'$ of $S$ such that the$q$-analogue represents the $q$-$(1+q)$-expansion over $S'$, and to explore the poset and topological interpretations of this expansion. People provided comprehensive profiles for several integer sequences like classical Stirling numbers of both kinds and Catalan number within this framework. In this work, we extend the work on colored $q$-Stirling numbers of both kinds, as well as colored $q$-Lah numbers. We also briefly discuss $q$-Stirling and $q$-Lah numbers of type $D$.
