Title:Parity statistics on restricted permutations
Speaker:Jing Liu（Shandong University）
Time:2024.11.26 ，14：30-15：30
Location: B201-1, Mingde Building
Abstract：Motivated by Kitaev and Zhang’s recent work on non-overlapping ascents in stacksortable permutations and Dumont’s permutation interpretation of the Jacobi elliptic functions, we investigate some parity statistics on restricted permutations.Some new related bijections are presented and two refinements of the generating function for descents over 321-avoiding permutations due to Barnabei, Bonetti and Silimbanian are obtained. In particular, an open problem of Kitaev and Zhang about non-overlapping ascents on 321-avoiding permutations is solved. The stacksortable permutations are at the heart of our approaches.
More information: Graduate Student Seminar
