Critical regularity and subexponential growth | Vidéo | Carmin.tv

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Critical regularity and subexponential growth

By Sang-hyun Kim

Appears in collection : Foliations and Diffeomorphism Groups / Feuilletages et Groupes de Difféomorphisme

Two groups are elementarily equivalent if they have the same sets of true firstorder group theoretic sentences. We prove that if the homeomorphism groups of two compact connected manifolds are elementarily equivalent, then the manifolds are homeomorphic. This generalizes Whittaker's theorem on isomorphic homeomorphism groups (1963) without relying on it. Joint work with Thomas Koberda (UVa) and Javier de la Nuez-Gonzalez (KIAS).

Information about the video

Date of recording 12/12/2024
Date of publication 10/01/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20274803
Cite this video Kim, Sang-hyun (12/12/2024). Critical regularity and subexponential growth. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20274803
URL https://dx.doi.org/10.24350/CIRM.V.20274803

Domain(s)

Bibliography

KIM, Sang-hyun, KOBERDA, Thomas, et GONZÁLEZ, J. First order rigidity of homeomorphism groups of manifolds. arXiv preprint arXiv:2302.01481, 2023. - https://doi.org/10.48550/arXiv.2302.01481

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