Back to Departmental Colloquium: Fall 2006
Departmental Colloquium
Date: Thursday, Oct 12, 2006
Time: 4:15PM
Location: JWB 335
Mark Sapir
Vanderbilt University
Title |
Asymptotic cones of groups |
Abstract |
The asymptotic cone of a metric space X is the Gromov-Hausdorff limit of rescaled copies X/n of X, n=1,2,…. They were introduced by Gromov in his celebrated paper about groups of polynomial growth. Every finitely generated group becomes a metric space if we equip it with the word metric. Asymptotic cones of a group capture both algorithmic and geometric (coarse) properties of the group. Asymptotic cones of a group also provide information about the subgroups of the group, solving equations over the group, etc. I am going to survey recent results about asymptotic cones obtained jointly with Cornelia Drutu, Shahar Mozes, Alexander Olshanskii and Denis Osin. |
Mathematical Biology
Computational Mathematics
Applied Mathematics