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.
By Jeremie Brieussel
By Ivan Mitrofanov
By Rostislav Grigorchuk
By Alejandra Garrido
By Dominik Francoeur
By Yair Hartman
By Mikhail Lyubich
By Vadim Kaimanovich
By Anitha Thillaisundaram
By Mikael de la Salle
By Josh Frisch
By Marialaura Noce
By Yves de Cornulier
By Clément Delcamp
By Ronnie Pavlov
By Tamara Kucherenko
