MINDS Seminar Series | Jongbaek.Song (Pusan National University) - Stability theorem of bigraded persistence barcodes
| Date |
2023-05-02 ~ 2023-05-02 |
Time |
17:00:00 ~ 18:00 |
| Speaker |
Jongbaek.Song |
Affiliation |
Pusan National University |
| Place |
Online streaming (Zoom) |
Streaming link |
ID : 688 896 1076 /
PW : 54321 |
| Topic |
Stability theorem of bigraded persistence barcodes |
| Contents |
Given a simplicial complex K, one can define a topological space Z(K) called the moment-angle complex associated with K. The cohomology ring of Z(K) is captured by the Tor-algebra of the face ring of K. In this talk, we introduce the bigraded persistent homology modules and the bigraded barcodes of a finite pseudo-metric space using the ordinary and double cohomology of Z(K). Then we discuss the stability theorem for the bigraded persistent homology modules and barcodes. |