会议日程表

会议地点：腾讯会议861-336-872

12月7日(周二)上午8:30-11:30 下午14:10-17:00
时间	报告题目	报告人	主持人
8:30-8:40	开幕，讨论	苏循团
8:40-9:20	Some topics in analytic combinatorics	王毅老师	刘丽
9:20-10:00	Coefficientwise total positivity from Riordan arrays	祝宝宣	苏循团
休息10:00-10:10
10:10-10:50	Combinatorics of generalized Square posets	牟丽丽	孙华
10:50-11:30	Eigenvalue inequalities for totally positive matrices	陈曦	苏循团
时间	报告题目	报告人	主持人
14:10-14:50	Clar covering polynomials with only real zeros	李冠儒	梁胡义乐
14:50-15:30	Criteria for the total positivity of Riordan arrays	毛建玺	郑赛男
休息15:30-15:40
15:40-16:20	Hamiltonian paths and cycles in some 4-uniform hypergraphs	刘冠吾	裴艳妮
16:20-17:00	Combinatorial features for the generalized Eulerian numbers	丁明健	刘丽
	闭幕，讨论	刘丽

Eigenvalue inequalities for totally positive matrices

Xi Chen

Dalian University of Technology

Abstract. It is well known that the eigenvalues of totally positive matrices are all real. We in this talk present a unified and short proof of the interlacing properties of eigenvalues of principal submatrices of totally positive matrices.

Combinatorial features for the generalized

Eulerian numbers

Ming-Jian  Ding

Dalian University of Technology

Abstract. In this talk, we give a new combinatorial interpretation for the generalized Eulerian numbers introduced by Rz\k{a}dkowski and Urli\'nska. Based on this, we get general differential equations for the generalized Eulerian polynomials and its exponential generating function, which imply two conjectures proposed by Peter Bala. Moreover, we get some combinatorial properties for the generalized Eulerian polynomials, including log-concavity, real-rootedness, interlacing property of zeros, q-SM property and the Hurwitz stability of Tur\'an expression. In particular, we give the combinatorial interpretation for the $\gamma$-coefficients whenever the generalized Eulerian polynomials have $\gamma$-positive decomposition.

Clar covering polynomials with only real zeros

Guanru Li

Inner Mongolia Minzu University

Abstract. We present some examples of hexagonal systems whose Clar covering polynomials have only real zeros, and show that all real zeros of Clar covering polynomials are dense in the interval .

Criteria for the total positivity of Riordan arrays

Jianxi Mao

Dalian University of Technology

Abstract. In this talk we show some criteria for the total positivity of Riordan arrays.

Hamiltonian paths and cycles in

some 4-uniform hypergraphs

Guanwu  Liu

Dalian University of Technology

Combinatorics of generalized Square posets

Lili Mu

Jiangsu Normal University

Abstract. The theory of posets plays an important unifying role in enumerative combinatorics. As the classical case, Square poset strongly shows its such benefits. For instance, enumerations on Square poset have close relation to partition numbers, Catalan numbers, binomial coefficients, etc. The Square poset can be obtained by tiling a quadrant of the plane with squares. Adjustments in the tiling tactic generate several posets that are referred to as generalized Square posets. In this talk, we consider the combinatorial properties of generalized Square posets.

Some topics in analytic combinatorics

Yi Wang

Dalian University of Technology

Abstract. Combinatorial sequences, combinatorial polynomials and combinatorial matrices play important roles in combinatorics. In this talk we will discuss their analytic aspects, with emphases on the log-concavity and log-convexity of combinatorial sequences, analytical properties of the zeros and coefficients of combinatorial polynomials, and the total positivity of combinatorial matrices.

Coefficientwise total positivity from Riordan arrays

Bao-Xuan Zhu

Jiangsu Normal University

Abstract. The theory of totally positive matrices and functions is a powerful tool to solve problems in a variety of fields such as classical analysis, combinatorics, stochastic processes and statistics, representation theory and cluster algebras, positive Grassmannians and integrable systems.Riordan arrays play a  unified role in combinatorics. In this talk, we will review and report some results coefficientwise total positivity and coefficientwise Hankel-total positivity from Riordan arrays.