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Action of the Cremona group on a CAT(0) cube complex
Virtualconference
Authors : Lonjou, Anne (Author of the conference)
CIRM (Publisher )
14E07 - Birational automorphisms, Cremona group and generalizations
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
Additional resources :
https://www.cirm-math.fr/RepOrga/2159/Slides/Lonjou_virtual_conference.pdf
CIRM (Publisher )
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Abstract :
The Cremona group is the group of birational transformations of the projective plane. Even if this group comes from algebraic geometry, tools from geometric group theory have been powerful to study it. In this talk, based on a joint work with Christian Urech, we will build a natural action of the Cremona group on a CAT(0) cube complex. We will then explain how we can obtain new and old group theoretical and dynamical results on the Cremona group.
Keywords : Cremona groups; CAT(0) cube complex
MSC Codes : Keywords : Cremona groups; CAT(0) cube complex
14E07 - Birational automorphisms, Cremona group and generalizations
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
Additional resources :
https://www.cirm-math.fr/RepOrga/2159/Slides/Lonjou_virtual_conference.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/06/2020 Conference Date : 20/05/2020 Subseries : Research talks arXiv category : Algebraic Geometry ; Group Theory Mathematical Area(s) : Geometry ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:31:20 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/ 2020-05-20_Lonjou.mp4 
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Information on the Event
Event Title : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupesEvent Organizers : Chatterji, Indira ; Paris, Luis ; Vogtmann, Karen Dates : 01/06/2020 - 05/06/2020 Event Year : 2020 Event URL : https://conferences.cirm-math.fr/virtual...
Citation Data
DOI : 10.24350/CIRM.V.19636403Cite this video as: Lonjou, Anne (2020). Action of the Cremona group on a CAT(0) cube complex. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19636403 URI : http://dx.doi.org/10.24350/CIRM.V.19636403 |
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Bibliography
- LONJOU, Anne et URECH, Christian. Actions of Cremona groups on CAT (0) cube complexes. arXiv preprint arXiv:2001.00783, 2020. - https://arxiv.org/abs/2001.00783
