Spaces of Orderings and Applications - Lecture 3

Explore the third installment of a minicourse on spaces of orderings and their applications in orderable groups. Delve into the study of general properties of these spaces and their relationship with the algebraic properties of underlying groups. Examine the natural topology that makes the space of all orders on an orderable group G compact, regardless of the group's cardinality. Engage with open questions in the field and gain insights into the connections between topology and group theory. This 46-minute lecture, presented by Andrés Navas at the Centre de recherches mathématiques (CRM), is part of the "Groupes ordonnés/Orderable Groups" program held in April-May 2023.