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Borel asymptotic dimension and hyperfiniteness
Multi angle
Authors : Conley, Clinton (Author of the conference)
CIRM (Publisher )
03E15 - Descriptive set theory
03E60 - Determinacy principles
28A05 - Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets
37A15 - General groups of measure-preserving transformations
CIRM (Publisher )
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Abstract :
We introduce a 'purely Borel' version of Gromov's notion of asymptotic dimension, and show how to use it to establish hyperfiniteness of various equivalence relations. Time permitting, we discuss hyperfiniteness of orbit equivalence relations of free actions of lamplighter groups. This is joint work with Jackson, Marks, Seward, and Tucker-Drob.
Keywords : hyperfiniteness; orbit equivalence; Borel combinatorics
MSC Codes : Keywords : hyperfiniteness; orbit equivalence; Borel combinatorics
03E15 - Descriptive set theory
03E60 - Determinacy principles
28A05 - Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets
37A15 - General groups of measure-preserving transformations
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/06/2023 Conference Date : 22/05/2023 Subseries : Research talks arXiv category : Logic Mathematical Area(s) : Dynamical Systems & ODE ; Logic and Foundations Format : MP4 (.mp4) - HD Video Time : 00:55:49 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-05-22_Conley.mp4 
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Information on the Event
Event Title : Measured Group Theory, Stochastic Processes on Groups and Borel Combinatorics / Théorie mesurée des groupes, processus stochastiques sur les groupes et combinatoire BorélienneEvent Organizers : Abért, Miklós ; Gaboriau, Damien ; Tserunyan, Anush ; Virág, Bálint Dates : 22/05/2023 - 26/05/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2172.html
Citation Data
DOI : 10.24350/CIRM.V.20048503Cite this video as: Conley, Clinton (2023). Borel asymptotic dimension and hyperfiniteness. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20048503 URI : http://dx.doi.org/10.24350/CIRM.V.20048503 |
See Also
- [Multi angle] Treeability and planarity in measured group theory / Author of the conference Tucker-Drob, Robin.
- [Multi angle] Commability and graphs of abelian groups / Author of the conference Le Boudec, Adrien.
- [Multi angle] Typicality and entropy of processes on infinite trees / Author of the conference Backhausz, Agnes.
- [Multi angle] Perfect kernels and dynamics: from Bass-Serre theory to hyperbolic groups / Author of the conference Azuelos, Pénélope.
Bibliography
- CONLEY, Clinton, JACKSON, Steve, MARKS, Andrew, et al. Borel asymptotic dimension and hyperfinite equivalence relations. arXiv preprint arXiv:2009.06721, 2020. - https://doi.org/10.48550/arXiv.2009.06721
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