Seminario Teoría de Grupos
Realising quasi-isometry groups
Ponente: Lawk Mineh (University of Bonn)Fecha: jueves 28 de mayo de 2026 - 11:30Lugar: Aula Gris 3, ICMAT
Resumen:
The quasi-isometry group QI(X) of a metric space X is a natural group of automorphisms of the space that preserve its large-scale structure. For most familiar spaces X, the group QI(X) is enormous and quite wild. Spaces X for which QI(X) is understood tend to exhibit a sort of rigidity phenomenon: every quasi-isometry of such spaces is close to an isometry. We exploit this phenomenon to address the question of which abstract groups arise as the quasi-isometry groups of metric spaces. This talk is based on joint work with Paula Heim and Joe MacManus.
