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MINDS Seminar on Data ScienceㅣStability theorem of bigraded persistence barcodes

기간 : 2023-05-02 ~ 2023-05-02
시간 : 17:00 ~ 18:00
분야Field
날짜Date 2023-05-02 ~ 2023-05-02 시간Time 17:00 ~ 18:00
장소Place 초청자Host
연사Speaker Jongbaek Song 소속Affiliation Pusan National University
TOPIC MINDS Seminar on Data ScienceㅣStability theorem of bigraded persistence barcodes
소개 및 안내사항Content

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.

 

https://us06web.zoom.us/j/6888961076?pwd=ejYxN05jNmhUa25PU2JzSUJvQ1haQT09

ID : 688 896 1076 / PW : 54321

학회명Field MINDS Seminar on Data ScienceㅣStability theorem of bigraded persistence barcodes
날짜Date 2023-05-02 ~ 2023-05-02 시간Time 17:00 ~ 18:00
장소Place 초청자Host
소개 및 안내사항Content

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.

 

https://us06web.zoom.us/j/6888961076?pwd=ejYxN05jNmhUa25PU2JzSUJvQ1haQT09

ID : 688 896 1076 / PW : 54321

성명Field MINDS Seminar on Data ScienceㅣStability theorem of bigraded persistence barcodes
날짜Date 2023-05-02 ~ 2023-05-02 시간Time 17:00 ~ 18:00
소속Affiliation Pusan National University 초청자Host
소개 및 안내사항Content

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.

 

https://us06web.zoom.us/j/6888961076?pwd=ejYxN05jNmhUa25PU2JzSUJvQ1haQT09

ID : 688 896 1076 / PW : 54321

성명Field MINDS Seminar on Data ScienceㅣStability theorem of bigraded persistence barcodes
날짜Date 2023-05-02 ~ 2023-05-02 시간Time 17:00 ~ 18:00
호실Host 인원수Affiliation Jongbaek Song
사용목적Affiliation 신청방식Host Pusan National University
소개 및 안내사항Content

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.

 

https://us06web.zoom.us/j/6888961076?pwd=ejYxN05jNmhUa25PU2JzSUJvQ1haQT09

ID : 688 896 1076 / PW : 54321

Admin Admin · 2023-04-27 10:53 · 조회 316
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