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David-Barton identities and Stirling permutations

Speaker: Yongnan Ye（Wenzhou University）
Time: Apr 18, 2024, 10:00-11:00
Location: M1001, College of Science Building

Abstract

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.