Subevent of TC Session #1
‟Simplicial LS Category bounds for iterated subdivisions of pure simplicial complexes” by Manuel Arriaza-Rincon, David Mosquera-Lois and José Antonio Vilches
Abstract:
The Lusternik-Schnirelmann (LS) category is a fundamental invariant in modern algebraic topology. Its discrete analogue, the simplicial LS category, provides similar topological insights for finite simplicial complexes; however, computing its exact value remains remarkably difficult in most cases. In this talk, we introduce a novel approach to find an upper-bound for the simplicial LS category of pure simplicial complexes by using the point-arboricity of their underlying graphs, and discuss explicit categorical coverings of such spaces based on this approach.