Borel asymptotic dimension and hyperfiniteness | Vidéo | Carmin.tv

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Borel asymptotic dimension and hyperfiniteness

By Clinton Conley

Appears in collection : Measured Group Theory, Stochastic Processes on Groups and Borel Combinatorics / Théorie mesurée des groupes, processus stochastiques sur les groupes et combinatoire Borélienne

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.

Information about the video

Date of recording 22/05/2023
Date of publication 09/06/2023
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20048503
Cite this video Conley, Clinton (22/05/2023). Borel asymptotic dimension and hyperfiniteness. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20048503
URL https://dx.doi.org/10.24350/CIRM.V.20048503

Domain(s)

Logic

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

MSC codes

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