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$L^2$ spectral gap and group actions on Banach spaces
Multi angle
Authors : de la Salle, Mikael (Author of the conference)
CIRM (Publisher )
20F65 - Geometric group theory
47H10 - Fixed-point theorems
46B85 - Embeddings of discrete metric spaces into Banach spaces; applications
CIRM (Publisher )
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Abstract :
Exploring the relations between algebraic and geometric properties of a group and the geometry of the Banach spaces on which it can act is a fascinating program, still widely mysterious, and which is tightly connected to coarse embeddability of graphs into Banach spaces. I will present a recent contribution, joint with Tim de Laat, where we give a spectral (hilbertian) criterion for fixed point properties on uniformly curved Banach spaces.
MSC Codes : 20F65 - Geometric group theory
47H10 - Fixed-point theorems
46B85 - Embeddings of discrete metric spaces into Banach spaces; applications
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 14/03/2018 Conference Date : 08/03/2018 Subseries : Research talks arXiv category : Group Theory ; Functional Analysis ; Probability Mathematical Area(s) : Analysis and its Applications ; Geometry Format : MP4 (.mp4) - HD Video Time : 00:44:49 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-03-08_De_La_Salle.mp4 
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Information on the Event
Event Title : Non linear functional analysis / Analyse fonctionnelle non linéaireEvent Organizers : Albiac, Fernando ; Godefroy, Gilles ; Lancien, Gilles Dates : 05/03/2018 - 09/03/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1755.html
Citation Data
DOI : 10.24350/CIRM.V.19372303Cite this video as: de la Salle, Mikael (2018). $L^2$ spectral gap and group actions on Banach spaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19372303 URI : http://dx.doi.org/10.24350/CIRM.V.19372303 |
See Also
- [Post-edited] Coarse dimension reduction / Author of the conference Naor, Assaf.
- [Multi angle] Finite quotients in coarse geometry / Author of the conference Khukhro, Anastasia.
- [Multi angle] On a difference between two methods of low-distortion embeddings of finite metric spaces into non-superreflexive Banach spaces / Author of the conference Randrianantoanina, Beata.
- [Multi angle] Ideals in $L(L_p)$ / Author of the conference Johnson, William B..
Bibliography
- de Laat, T., & de la Salle, M. (2017). Banach space actions and $L^2$-spectral gap.
