|Date:||Mon, October 7, 2013|
|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.