Speaker: Dr. Ben Adenbaum, Florida Gulf Coast University
Title: “On the Toggleability Spaces of Diagrams”
Abstract: For a family of partial orders corresponding to cell diagrams in the plane with some restrictions, we completely classify the functions in the span of the order ideal and antichain  indicator functions with those that differ from a constant function by a linear  combination of the single element signed toggleability statistics of Striker. In particular we show that the  dimension of this intersection equals the rank of the partial order for both of these spaces and provide explicit bases answering. As a consequence of this we answer in the affirmative several  conjectures of Defant, Hopkins, Posznanović, and Propp. This is joint work with Spencer Daugherty and Nicholas Mayers.

The Discrete Math Seminar (DMS) is intended for Kennesaw State faculty working in the various areas of algebra, number theory, and discrete mathematics to get together to discuss their current work or related questions. Seminars often involve advanced mathematical knowledge. However, the seminars are open to anyone interested in attending. This talk will take place in a hybrid format.