|Workshop on Geometric Functionals: Analysis and Applications|
|Topic:||Periodic Geodesics and Geodesic Nets on Riemannian Manifolds|
|Affiliation:||University of Toronto; Member, School of Mathematics|
|Date:||Tuesday, March 5|
|Time/Room:||2:30pm - 3:30pm/Simonyi Hall 101|
Abstract: I will talk about periodic geodesics, geodesic loops, and geodesic nets on Riemannian manifolds. More specifically, I will discuss some curvature-free upper bounds for compact manifolds and the existence results for non-compact manifolds. In particular, geodesic nets turn out to be useful for proving results about geodesic loops and periodic geodesics.