Algebra and Combinatorics Seminar

Date: October 2, 2020

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Bridget Tenner, DePaul University

Title: Odd diagram classes of permutations

Abstract: Recently, Brenti and Carnevale introduced an odd analogue of the classical permutation diagram. This gives rise to odd analogues of other permutation aspects such as length and inversions. Unlike in the classical setting, multiple permutations might have the same odd diagram. This prompts the study of "odd diagram classes": sets of permutations having the same odd diagram. We will discuss the rich combinatorial structure of these classes, including connections to pattern avoiding permutations and the Bruhat order. This is joint work with Francesco Brenti and Angela Carnevale.