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).