Jessica Striker (UMinn)

Title: Toggle group actions on posets, with application to the six-vertex model

Abstract: In this talk, we introduce the toggle group, which acts on the order ideals of a partially ordered set, or poset. We use the toggle group to model actions on various objects important in combinatorics and statistical physics, including rotation of noncrossing matchings and gyration on fully-packed loops. This is joint work with Nathan Williams.