Speaker : 1.Jun Ma (Shanghai Jiao Tong University) 2. Shi-Mei Ma (Northeastern University at Qinhuangdao) 3.Zhibin Du (Academia Sinica)
Title : 1. -Minimal parking functions and permutation statistics 2.Stirling permutations 3.TBA
Time : 2018-07-27 (Fri) 14:00 - 17:00
Place : Seminar Room 714, Institute of Mathematics (NTU Campus)
Abstract: 1.In this talk, given a choice function $\gamma$, we will introduce the concept of $\gamma$-minimal parking functions, discuss properties of $\gamma$-minimal parking functions and study some permutation statistics from the point of view of $\gamma$-minimal parking functions. In particular, for some choice functions $\gamma$, we will characterizate $\gamma$-minimal parking functions. We will also discuss a family of bijections from the set of $\gamma$-minimal parking functions of length n to the set of permutations of {1, 2,..., n}. We de ne some permutation statistics via $\gamma$-minimal parking functions, derive the recurrent relations of the generating functions for these statistics and show that several statistics are Mahonian.

2.In this talk, we present some rescent progress on the study of Stirling permutations. The Stirling permutations are closely related to permutations, perfect matchings, increasing trees and partitions of integers. Some questions are also presented.

3. TBA