Prodsimplicial Complexes and Applications to Word Reduction Pathways

Explore a mathematical lecture where Lina Fajardo Gómez introduces prodsimplicial complexes as tools for analyzing pathways in directed graphs. Learn how these custom-made cell complexes, constructed by attaching cells corresponding to products of simplices, are particularly effective for studying data from acyclic directed graphs. Discover the practical application of these algebraic topology tools to directed graphs associated with reductions of double occurrence words, and understand how word operations affect the homology of corresponding graphs. This 43-minute presentation from the Applied Algebraic Topology Network offers insights into specialized topological structures and their applications in word reduction pathways.