Spaces of cubulations

Appears in collection : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupes

The theory of group actions on CAT(0) cube complexes has exerted a strong influence on geometric group theory and low-dimensional topology in the last two decades. Indeed, knowing that a group G acts properly and cocompactly on a CAT(0) cube complex reveals a lot of its algebraic structure. However, in general, "cubulations’’ are non-canonical and the group G can act on cube complexes in many different ways. It is thus natural to try and formulate a good notion of "space of all cubulations of G'', which would prove useful in the study of Out(G) for quite general groups G. I will describe some results in this direction, based on joint works with J. Beyrer and M. Hagen.

Information about the video

Date of recording 27/05/2020
Date of publication 01/06/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19635903
Cite this video Fioravanti, Elia (27/05/2020). Spaces of cubulations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19635903
URL https://dx.doi.org/10.24350/CIRM.V.19635903

Domain(s)

Bibliography

BEYRER, Jonas et FIORAVANTI, Elia. Cross ratios on ${\rm CAT (0)} $ cube complexes and marked length-spectrum rigidity. arXiv preprint arXiv:1903.02447, 2019. - https://arxiv.org/abs/1903.02447
BEYRER, Jonas et FIORAVANTI, Elia. Cross ratios and cubulations of hyperbolic groups. arXiv preprint arXiv:1810.08087, 2018. - https://arxiv.org/abs/1810.08087
FIORAVANTI, Elia et HAGEN, Mark. Deforming cubulations of hyperbolic groups. arXiv preprint arXiv:1912.10999, 2019. - https://arxiv.org/abs/1912.10999