# Regina Rotman (UofT)

Date

Friday February 2, 20242:30 pm - 3:30 pm

Location

Jeffery Hall, Room 234## 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.