Complexes of parabolic subgroups for Artin groups | Vidéo | Carmin.tv

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Complexes of parabolic subgroups for Artin groups

By Maria Cumplido Cabello

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

One of the main examples of Artin groups are braid groups. We can use powerful topological methods on braid groups that come from the action of braid on the curve complex of the n-puctured disk. However, these methods cannot be applied in general to Artin groups. In this talk we explain how we can construct a complex for Artin groups, which is an analogue to the curve complex in the braid case, by using parabolic subgroups.

Information about the video

Date of recording 22/05/2020
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.19635803
Cite this video Cumplido Cabello, Maria (22/05/2020). Complexes of parabolic subgroups for Artin groups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19635803
URL https://dx.doi.org/10.24350/CIRM.V.19635803

Domain(s)

Bibliography

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GONZÁLEZ-MENESES, Juan. Geometric embeddings of braid groups do not merge conjugacy classes. Boletín de la Sociedad Matemática Mexicana, 2014, vol. 20, no 2, p. 297-305. - https://doi.org/10.1007/s40590-014-0018-6
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MSC codes

Document(s)

https://conferences.cirm-math.fr/uploads/1/6/6/4/16648158/cumplido_luminyvirtual.pdf

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