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Explore a 42-minute research lecture where Dr. Anastasia Chavez from Saint Mary's College of California delves into the mathematical concept of valuation polytopes on height two posets. Learn about Geissinger's definition of the valuation polytope as the set of all [0,1]-valuations on finite distributive lattices and Dobbertin's equivalent characterization through chain convex hulls. Examine specific cases including the zig-zag poset and complete bipartite poset, discovering key findings on normalized volumes, unimodular triangulations, and f-vectors. Gain insights into the associated graphical matroid that underpins this collaborative research work with Federico Ardila, Jessica De Silva, Jose Luis Herrera Bravo, and Andrés R. Vindas-Meléndez, presented at IPAM's Computational Interactions between Algebra, Combinatorics, and Discrete Geometry Workshop.
