Beijing Institute of Mathematical Sciences and Applications

The theory about path homology for digraphs was introduced by Prof. Yau and his co-authors in 2012, which breaks through the framework of the classical simplicial homology theory. Inspired by this theory, people has carried out a lot of in-depth research about this theory and its related projects, which has yielded numerous results. Various topological theories for graph, digraph, hypergraph, directed hypergraph and quiver have been established, such as embedding homology of hypergraph and quiver homology. In November 2022, path homology was officially renamed GLMY homology after the initials of the four authors. On the other hand, the homotopy theory of digraphs introduced by Prof. Yau and his coauthors is being under development. These theories are known as the GLMY theory.

In recent years, GLMY theory has been successfully applied to various advanced technology fields, such as chemistry, biology, and complex networks. And the further development of GLMY theory can encourage related applied fields. In order to strengthen academic communication and promote the development of GLMY theory, we are organizing this seminar to introduce GLMY theory and related theories, discuss its future development. Please join us if you are interested.