Daisuke Kishimoto

\(\mathtt{Hom}\) complexes and hypergraph colorings

slide: PDF.
video: comming soon.
We introduce \(\mathtt{Hom}\) complexes of \(r\)-uniform hypergraphs with multiplicities and give a systematic way of studying colorings of \(r\)-uniform hypergraphs with multiplicities. We also show that complexes considered in the study of colorings of \(r\)-uniform hypergraphs are essentially the same as certain \(\mathtt{Hom}\) complexes.