ANNULÉ - Horofunction Boundaries of finitely generated groups (Liran RON, Ben-Gurion University of the Negev)

10.10.2023 10:30

Horofunction boundaries are a nice way to approach questions about the behavior of metric spaces at infinity and learn about their geodesics. In the case of Cayley graphs of finitely generated groups, they are also fruitful when studying group actions, algebraic properties and geometric properties (such as the growth rate of the group).
In this talk we would like to introduce the relevant notions, raise questions that we try to tackle these days, and talk about recent results regarding those questions. This includes the basic definitions of horofunction boundaries of f.g. groups, examples, applications, and in particular questions about the cardinality of the boundary and the relationship with group theoretic notions.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Tuesday 10.10.2023, Séminaire "Groupes et Géométrie"

entrée libre