Nonstandard methods in geometry: asymptotic cones

Nonstandard methods in geometry: asymptotic cones

Wed, 09/02/2011
16:00 		Alessandro Sisto (Oxford University) Junior Geometric Group Theory Seminar Add to calendar SR2
Nonstandard methods in geometry: asymptotic cones
After a quick-and-dirty introduction to nonstandard analysis, we will define the asymptotic cones of a metric space and we will play around with nonstandard tools to show some results about them. For example, we will hopefully prove that any separable asymptotic cone is proper and we will classify real trees appearing as asymptotic cones of groups.