This talk will be devoted to a flexible family of amenable groups that were introduced in a joint work with Tianyi Zheng. The isoperimetric profile, the compression or the speed of random walk can be prescribed to follow a given arbitrary function (sufficiently regular). Variants on the main construction permit to obtain large families of solvable groups, or groups with Shalom's property H_FD. This family of groups was also used by Corentin Le Coz to construct new behaviours of the separation and Poincaré profiles of groups, and by Amandine Escalier to obtain measure equivalence couplings which are quantitatively optimal with respect to isoperimetric constraints.
De Jeremie Brieussel
De Ivan Mitrofanov
De Rostislav Grigorchuk
De Alejandra Garrido
De Dominik Francoeur
De Yair Hartman
De Mikhail Lyubich
De Vadim Kaimanovich
De Anitha Thillaisundaram
De Mikael de la Salle
De Josh Frisch
De Marialaura Noce
De Monica Colpi
De Albert Schwarz
De Albert Schwarz
De Juan Camilo Arosemena Serrato
De Francesca Arici
De Amine Marrakchi
