# Meeting Details

Title: Pairs of minimal geodesics and injectivity radius Center for Dynamics and Geometry Seminars Xiaochun Rong, Rutgers Let $p$ be a point in a complete Riemannian manifold. We will discuss an estimate from below for the injectivity radius at $p$ in terms of the local geometry. When applying it to a compact manifold, we generalize the early results (Cheeger, Burago-Gromov-Perel'man) on bounding from below for the length of a (almost) closed geodesic in terms of curvature, diameter and volume. This is a joint work with Nan Li.