Dear All,

The Department of Mathematics is inviting you to attend a colloquium on November 27, 2025.

Title: Geometry in Random groups

Abstract: Random groups are finitely presented groups defined through a probabilistic construction, providing a framework for studying "generic" properties of groups. In many probabilistic models, random groups are known to be Gromov hyperbolic and exhibit a rich variety of algebraic and geometric properties.
In this talk, I will first present the few-relator model and the Gromov density model of random groups, highlighting some of their most significant results. I will then focus on geometric aspects of random groups, with particular emphasis on parallel geodesics and minimal stable length. The only prerequisite is a basic familiarity with group presentations.

We look forward to having you with us.