$L^2$ spectral gap and group actions on Banach spaces
Apparaît également dans la collection : Non linear functional analysis / Analyse fonctionnelle non linéaire
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.