Schedule
MINDS SEMINAR
MINDS Seminar Series | Jongbaek.Song (Pusan National University) - Stability theorem of bigraded persistence barcodes
MINDS SEMINAR
period : 2023-05-02 ~ 2023-05-02
time : 17:00:00 ~ 18:00
개최 장소 : Online streaming (Zoom)
Topic : Stability theorem of bigraded persistence barcodes
개요
| 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. | ||
MinDS
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2023-03-06 16:32 ·
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