Hypergraph homology and its applications

Abstract: In practical applications, hypergraph is considered as the most general mathematical model for network beyond pairwise interactions. From topological views, the notion of hypergraph is a generalization of simplicial complex. In this talk, we will explain how to naturally extend simplicial homology theory to a homology theory on hypergraphs so that algebraic topology admits broader applications in practice. As applications in data science, we will present hypergraph-based persistent cohomology (HPC) for molecular representations in drug design.

algebraic topologycategory theorygroup theoryK-theory and homology

Audience: researchers in the topic

Cihan Okay

Series comments: Contact the organizer to get access to Zoom.

Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos