$L^2$ spectral gap and group actions on Banach spaces | Vidéo | Carmin.tv

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$L^2$ spectral gap and group actions on Banach spaces

By Mikael de la Salle

Appears in collections : Non linear functional analysis / Analyse fonctionnelle non linéaire, Exposés de recherche

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.

Information about the video

Date of recording 08/03/2018
Date of publication 14/03/2018
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19372303
Cite this video de la Salle, Mikael (08/03/2018). $L^2$ spectral gap and group actions on Banach spaces. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19372303
URL https://dx.doi.org/10.24350/CIRM.V.19372303

Domain(s)

Bibliography

de Laat, T., & de la Salle, M. (2017). Banach space actions and $L^2$-spectral gap. <arXiv:1705.03296> - https://arxiv.org/abs/1705.03296

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