Algebra & Combinatorics Seminar

David-Barton identities and Stirling permutations

  • 演讲者:叶永南(温州大学)

  • 时间:2024-04-18 10:00-11:00

  • 地点:理学院大楼M1001


In this talk, we present a survey on the study of David-Barton identities and Stirling permutations. By using an alternate formulation of the David-Barton identity which relates the alternating run polynomials to Eulerian polynomials, we find that for any gamma-positive polynomial, there exists a David-Barton type identity. We then discuss some enumerative polynomials on Stirling permutations, including ascent-plateau polynomials, left ascent-plateau polynomials and flag ascent-plateau polynomials.