Swee Hong Chan, Rutgers University

Abstract

The study of log-concave inequalities has played a central role in the study of the order theory. One such inequality is Stanley's inequality, which asserts the log-concavity of the sequence $(N_k)$ of the number of linear extensions of partial order for which the rank of a fixed element x is equal to k. In this talk we will discuss various generalizations of these results together with related open problems. This talk is joint work with Igor Pak and Greta Panova, and is intended for the general audience.

See: https://sites.google.com/view/rutgersdmseminar