Vertex Order Shellings in Simplicial Complexes

Explore a 41-minute mathematics lecture where University of San Diego's Bennet Goeckner delves into vertex order shellings during IPAM's Computational Interactions between Algebra, Combinatorics, and Discrete Geometry Workshop at UCLA. Discover how shellings serve as essential tools in studying simplicial complexes and their implications for topological, algebraic, and combinatorial properties. Learn about Björner's theorem connecting matroid independence complexes to vertex order-induced shellings, and examine various complexes defined through vertex order conditions. Gain insights from collaborative research with Marta Pavelka on determining which vertex orders induce shellings in different mathematical contexts.