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Expected topology of a random subcomplex in a simplicial complex
Post-edited
Authors : Welschinger, Jean-Yves (Author of the conference)
CIRM (Publisher )
52Cxx - Discrete geometry
55U10 - Simplicial sets and complexes
60B05 - Probability measures on topological spaces
60C05 - Combinatorial probability
CIRM (Publisher )
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| random topology simplicial complex expected Betti numbers barycentric subdivisions expected face polynomial canonical measures questions of the audience |
Abstract :
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.
MSC Codes : 52Cxx - Discrete geometry
55U10 - Simplicial sets and complexes
60B05 - Probability measures on topological spaces
60C05 - Combinatorial probability
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 21/09/2017 Conference Date : 19/09/2017 Subseries : Research talks arXiv category : Algebraic Geometry ; Geometric Topology ; Probability ; Combinatorics Mathematical Area(s) : Probability & Statistics ; Algebraic & Complex Geometry ; Combinatorics ; Topology Format : MP4 (.mp4) - HD Video Time : 01:16:31 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-09-19_Welschinger.mp4 
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Information on the Event
Event Title : Perspectives in real geometry / Perspectives en géométrie réelleEvent Organizers : Brugallé, Erwan ; Itenberg, Ilia ; Shustin, Eugenii Dates : 18/09/2017 - 22/09/2017 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1782.html
Citation Data
DOI : 10.24350/CIRM.V.19223303Cite 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 |
See Also
- [Multi angle] Real curves and a Klein TQFT / Author of the conference Georgieva, Penka.
- [Multi angle] On real algebraic knots and links / Author of the conference Orevkov, Stepan.
- [Multi angle] Sums of three squares and Noether-Lefschetz loci / Author of the conference Benoist, Olivier.
- [Multi angle] Complex torus, its good compactifications and the ring of conditions / Author of the conference Khovanskii, Askold.
Bibliography
- Salepci, N., & Welschinger, J.-Y. (2017). Asymptotic topology of random subcomplexes in a finite simplicial complex.
- Salepci, N., & Welschinger, J.-Y. (2017). Asymptotic measures and links in simplicial complexes.
