Algebra and Combinatorics Seminar

Date: October 23, 2020

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Kassie Archer, UT Tyler

Title: Cycle structure of pattern-avoiding permutations

Abstract: Given a permutation written in its one-line notation, we say that the permutation avoids a pattern if there is no subsequence in the same relative order as that pattern. Though much is known about pattern-avoiding permutations in general, relatively little is known about the cycle structure of these permutations. In the first half of the talk, I will discuss some things that are known about this topic, in what context some of these results appear, and some open questions. In the second half, I’ll discuss a recent example regarding 132-avoiding permutations comprised of only 3-cycles which has an interesting answer.