The escape phenomenon in open manifolds with
nonnegative Ricci curvature
Abstract: We start with a simple phenomenon in an open manifold M with nonnegative Ricci curvature: the set of all minimal representing geodesic loops of
π1(M,p) may not be contained in any bounded sets of M. We will talk about how this escape phenomenon is related to the algebraic structure of fundamental groups and the metric structure of asymptotic cones. Part of this talk is joint work with Guofang Wei.