Tianyuan Mathematical Center
in Southwest China

An involution on restricted Laguerre histories and its applications

报告题目：An involution on restricted Laguerre histories and its applications

报告专家：傅士硕（重庆大学）

报告时间：2022年11月18日15:00-16:00

报告地点：腾讯会议，268-919-601，无密码

报告摘要：Laguerre histories (restricted or not) are certain weighted Motzkin paths with two types of level steps. They are, on one hand, in natural bijection with the set of permutations, and on the other hand, yield combinatorial interpretations for the Laguerre polynomials. In this talk, we will introduce a reflection-like involution on restricted Laguerre histories, and explain its implications for the equidistributions of various permutation statistics. As byproducts, seven apparently new Mahonian statistics present themselves, and a new link between the variant Yan-Zhou-Lin bijection adn the Kreweras complement is discovered. The talk is based on joint work with Joanna Na Chen.

专家简介：傅士硕，教授，博士生导师，2011年博士毕业于宾夕法尼亚州立大学，2011-2012在韩国科学技术院（KAIST）从事博士后研究，2012年以“百人计划”特聘研究员入职重庆大学。研究兴趣主要为组合数学中的整数分拆理论、排列统计量同分布问题以及组合序列的伽马非负性等。已在J. Combin. Theory Ser. A, Adv. Appl. Math., SIAM Disc. Math., European J. Combin., Ramanujan J., J. Number Theory 等杂志发表论文30余篇，多次受邀参加国际国内学术会议并作邀请报告，获批国家自然科学基金两项。现任中国数学会组合数学与图论专业委员会理事、中国工业与应用数学学会图论组合及应用专业委员会副秘书长、中国运筹学会图论组合学分会理事、重庆市运筹学会常务理事。

邀请人：范久瑜