Daisuke Kishimoto

## $$\mathtt{Hom}$$ complexes and hypergraph colorings

slide: PDF.
video: comming soon.
abstract:
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.