Regina Rotman (UofT)

Math & Stats Department Colloquium

Friday, February 2nd, 2023

Time: 2:30 p.m.  Place: Jeffery Hall, Room 234

Speaker: Regina Rotman (UofT)

Title: Length of a shortest closed geodesic on a closed Riemannian 3-manifold with positive scalar curvature

Abstract: Let $M$ be a closed Riemannian manifold with the scalar curvature bounded below by some positive constant $\kappa$. We will prove that there exists a closed non-trivial geodesic on $M$ of length at most $\frac{c}{\sqrt{\kappa}}$. (Joint with Y. Liokumovich, D. Maximo.)

Bio: Prof. Regina Rotman obtained her Ph.D. from Stony Brook University in 1998 and is now a Professor of Mathematics at the University of Toronto. Her research interests include geometric inequalities, periodic geodesics and minimal surfaces on compact and non-compact manifolds, geodesic nets, and width of homotopies.