The community challenge on lifting graph data into higher-order domains. Perelyn took part; the submissions grew into TopoBench.
The research
Graphs squeeze information through bottlenecks. We use curvature to find a network's backbones and lift them to hyperedges, so distant parts of a graph can talk.
What it changes in practice
A company's knowledge graph has bottlenecks too. Curvature tells us where answers get squashed before they reach the person who needs them.