### On the number and shape of asymptotic cones of semialgebraic groups

**Tent, K ***(Bielefeld)*

Tuesday 12 July 2005, 16:00-17:00

Seminar Room 1, Newton Institute

#### Abstract

Asymptotic cones are a useful concept in order to study large scale geometric invariants of metric spaces. I will explain the construction of asymptotic cones and will indicate why the number of homeomorphism types of asymptotic cones of a Lie group depends on the continuum hypothesis.