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H 2 Expected topology of a random subcomplex in a simplicial complex

Auteurs : Welschinger, Jean-Yves (Auteur de la Conférence)
CIRM (Editeur )

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random topology simplicial complex expected Betti numbers barycentric subdivisions expected face polynomial canonical measures questions of the audience

Résumé : I will explain how to bound from above and below the expected Betti numbers of a random subcomplex in a simplicial complex and get asymptotic results under infinitely many barycentric subdivisions. This is a joint work with Nermin Salepci. It complements previous joint works with Damien Gayet on random topology.

Codes MSC :
52Cxx - Discrete geometry
55U10 - Simplicial sets and complexes
60B05 - Probability measures on topological spaces
60C05 - Combinatorial probability

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 21/09/2017
    Date de captation : 19/09/2017
    Collection : Research talks
    Format : MP4 (.mp4) - HD
    Durée : 01:16:31
    Domaine : Probability & Statistics ; Algebraic & Complex Geometry ; Combinatorics ; Topology
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : http://videos.cirm-math.fr/2017-09-19_Welschinger.mp4

Informations sur la rencontre

Nom du congrès : Perspectives in real geometry / Perspectives en géométrie réelle
Organisteurs Congrès : Brugallé, Erwan ; Itenberg, Ilia ; Shustin, Eugenii
Dates : 18/09/2017 - 22/09/2017
Année de la rencontre : 2017
URL Congrès : http://conferences.cirm-math.fr/1782.html

Citation Data

DOI : 10.24350/CIRM.V.19223303
Cite this video as: Welschinger, Jean-Yves (2017). Expected topology of a random subcomplex in a simplicial complex. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19223303
URI : http://dx.doi.org/10.24350/CIRM.V.19223303

Voir aussi

Bibliographie

  1. Salepci, N., & Welschinger, J.-Y. (2017). Asymptotic topology of random subcomplexes in a finite simplicial complex. - https://arxiv.org/abs/1706.02204

  2. Salepci, N., & Welschinger, J.-Y. (2017). Asymptotic measures and links in simplicial complexes. - https://arxiv.org/abs/1706.02215



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