WoG 2026 Talk 3.4: Deblina Das - On Orderability and Asymptotic Structure of the Quasi-Isometry Gro…

Speaker: Deblina Das Institution: IIT Palakkad Title: On Orderability and Asymptotic Structure of the Quasi-Isometry Group of Euclidean Spaces Abstract: In this talk, we discuss some of the algebraic and dynamical structure of certain normal subgroups of the quasi-isometry group of Euclidean spaces. We first consider the normal subgroup consisting of quasi-isometries that are asymptotically equal to the identity, and introduce a nested family of normal subgroups that distinguish different orders of sublinear deviation from the identity. We show that the centers of the resulting quotient groups are trivial. We further prove that these quotient groups are neither left-orderable nor locally indicable. This is a joint work with Dr. Swarup Bhowmik and Prof. Kashyap Rajeevsarathy.