The space of enumerated groups and Rubin's theorem (Yash Lodha, University of Hawaii at Manoa)

25.03.2025 10:30

In 1989, Matatyahu Rubin proved a remarkable theorem showing that if a group admits a faithful action by homeomorphisms on a locally compact,
Hausdorff space satisfying some dynamical hypothesis, then such an action is unique up to topological conjugacy (indeed even the space on which it acts in this manner is uniquely determined up to homeomorphism). In this talk we shall study this theorem and some key ideas of the proof, and investigate whether generic groups in a natural Polish topology on countable enumerated groups admit such an action.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Tuesday 25.03.2025, Séminaire "Groupes et géométrie"

entrée libre