报告人： 潘琼琼（温州大学）

报告题目：(p,q,t)-Catalan continued fractions, gamma expansions and pattern avoidances

报告摘要：We introduce a kind of $(p, q, t)$-Catalan numbers of Type A by generalizing the Jacobian type continued fraction formula, we proved that the corresponding expansions could be expressed by the polynomials counting permutations on $\mathfrak{S}_n(321)$ by various descent statistics. Moreover, we introduce a kind of $(p, q, t)$-Catalan numbers of Type B by generalizing the Jacobian type continued fraction formula, we proved that the Taylor coefficients and their $\gamma$-coefficients could be expressed by the polynomials counting permutations on $\mathfrak{S}_n(3124, 4123, 3142, 4132)$ by various descent statistics. Our methods include permutation enumeration techniques involving variations of bijections from permutation patterns to labeled Motzkin paths and modified Foata-Strehl action.

报告时间：2023年4月8日（周六）上午10:00-11:00

报告地点：腾讯会议587-624-294

报告人简介： 潘琼琼，2020年博士毕业于法国里昂大学，导师是曾江教授。2021年入职温州大学。主要研究计数组合学、代数组合学以及正交多项式理论。多篇论文发表在JCTA、AAM、EJC等组合数学领域的权威国际期刊上。

报告邀请人：数学与统计学院 马世美