Geometric Group Theory around Cube Complexes / La Théorie Geometrique des Groupes autour des Complexes Cubiques

Collection Geometric Group Theory around Cube Complexes / La Théorie Geometrique des Groupes autour des Complexes Cubiques

Organizer(s) Bestvina, Mladen ; Dahmani, Francois ; Lazarovich, Nir ; Stark, Emily ; Wise, Daniel

Date(s) 25/05/2026 - 29/05/2026

linked URL https://conferences.cirm-math.fr/3506.html

00:00:00 / 00:00:00

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Incubulable negatively curved 3-pseudomanifold groups

By Jason Manning

We give examples of hyperbolic three-manifolds with geodesic boundary so the spaces obtained by identifying boundary components to points are negatively curved but contain infinite subgroups with Property (T). In particular they cannot be cubulated, so we obtain incubulable hyperbolic groups with Pontryagin sphere boundary. We also deduce consequences for the possible relative cubulations of the three-manifold groups. This is joint work with Lorenzo Ruffoni.

Information about the video

Date of recording 28/05/2026
Date of publication 10/06/2026
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.20487203
Cite this video Manning, Jason (28/05/2026). Incubulable negatively curved 3-pseudomanifold groups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20487203
URL https://dx.doi.org/10.24350/CIRM.V.20487203

Domain(s)

Group Theory

Bibliography

MANNING, Jason et RUFFONI, Lorenzo. Incubulable hyperbolic 3-pseudomanifold groups. arXiv preprint arXiv:2601.02655, 2026. - https://doi.org/10.48550/arXiv.2601.02655

MSC codes

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