Monday

The length spectrum of a Riemannian surface is a sequence of geometric invariants called p-widths, which are analogous to the eigenvalues of the Laplacian. Recent work of Chodosh and Mantoulidis guarantees that each p-width equals the length of a closed immersed geodesic. I will discuss joint work with Jared Marx-Kuo and Lorenzo Sarnataro investigating the geometric properties of these associated geodesics, including upper bounds on their Morse index and number of self-intersections.