Digraph topology and GLMY theory
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.
Schedule
2023-11-24
09:00-09:10
Shing-Tung Yau (丘成桐 , BIMSA, YMSC)
Open Remarks
09:10-09:55
Yury Muranov ( University of Warmia and Mazury & BIMSA )
Cohomology theory on discrete sets and GLMY homology
10:00-10:45
Sergei Ivanov ( BIMSA )
Path and magnitude homology
11:00-11:45
Fedor Pavutnitskiy ( BIMSA )
Path homology of marked (linear) categories
14:30-15:15
Xinxing Tang ( 唐鑫星 , BIMSA )
The minimal paths and acyclic model
15:30-16:15
Wanying Bi ( 毕婉莹 , Hebei Normal University & BIMSA )
The magnitude homology of a hypergraph
16:30-17:15
Shaobo Di ( 邸少波 , Hebei Normal University & BIMSA )
On GLMY homology of Cayley digraphs and covering digraphs
2023-11-25
09:00-09:45
Dong Chen ( 陈冬 , Michigan State University )
Path topology in molecular and material sciences
10:00-10:45
Shuang Wu ( 吴双 , Beijing Forestry University & BIMSA )
Applications of GLMY theory in metabolomic networks of complex diseases
11:00-11:45
Mengmeng Zhang ( 张蒙蒙 , Hebei Normal University & BIMSA )
The Homotopy Groups and Puppe Sequence of Digraphs
14:30-15:15
Xiang Liu ( 刘祥 , Nankai University )
Graph Complex based molecular representation for drug design
15:30-16:15
Ran Liu ( 刘冉 , BIMSA-BUAA )
Persistent path-spectral based machine learning for protein-ligand binding affinity prediction
16:30-17:15
Yury Muranov ( University of Warmia and Mazury & BIMSA )
Simplicial sets in the category of quivers
2023-11-26
09:00-09:45
Jian Liu ( 刘健 , Chongqing University of Technology & Michigan State University )
The subdivision of hypergraphs
10:00-10:45
Yan Fu ( 付妍 , Nankai University )
Extended Persistent Homology on Manifolds and Simplicial Complexes
11:00-11:45
Yifei Zhu ( Southern University of Science and Technology )
Topology combined machine learning for consonant recognition
14:30-15:15
Yaru Gao ( Dalian University of Technology )
Persistent hypergraph homology and its applications
15:30-16:15
Bingxu Wang ( 王炳胥 , Peking University Shenzhen Graduate School )
Development and application of material property prediction methods based on digraph topology and GLMY theory
16:30-17:15
Yury Muranov ( University of Warmia and Mazury & BIMSA )
Cubical sets in the category of quivers
Scan code to view more information
