Rina Rotman
Title: The length of a shortest closed geodesic and the area of a minimal surface
Abstract: I will talk about the upper bounds for the length of a shortest closed geodesic on a closed Riemannian manifold. In particular, I will talk about curvature-free upper bounds on a manifold diffeomorphic to a 2-dimensional sphere. I will also discuss two curvature-free upper bounds for the minimal mass of a stationary 1-cycle, an object that is in some ways similar to a closed geodesic, and for the area of a minimal surface. (Joint with A. Nabutovsky).