Mathematics Colloquium

John Mackay


"Random finitely presented groups and boundaries at infinity"

Date: Mon, October 7, 2013
Time: 17:15
Place: Research II Lecture Hall

Abstract: What is a random group? What does it look like? We will discuss random finitely presented groups according to Gromov, in particular their large scale geometry. Just as hyperbolic space has a sphere at infinity, these groups have a "boundary at infinity". However, in this case the boundary at infinity is a fractal metric space, and tools from analysis such as Hausdorff dimension come into play.