Simplicial Complexes with Many Facets Are Vertex Decomposable

In this 22-minute talk from the Fields Institute, Ritika Nair of Oklahoma State University explores how simplicial complexes with numerous facets exhibit vertex decomposable properties. Delivered as part of the Commutative Algebra for Women series scheduled for March 13th, 2025, the presentation delves into topological and combinatorial aspects of these mathematical structures. Learn about the conditions and thresholds that determine when a simplicial complex with a sufficient number of facets necessarily becomes vertex decomposable.