Dynamics Seminar

Event Information Quantitative marked length spectrum rigidity
14:10 on Monday February 27, 2023
15:00 on Monday February 27, 2023
BA6183, Bahen Center, 40 St. George St.
Karen Butt

University of Michigan

The marked length spectrum of a closed Riemannian manifold of negative curvature is a function on the free homotopy classes of closed curves which assigns to each class the length of its unique geodesic representative. It is known in certain cases that the marked length spectrum determines the metric up to isometry, and this is conjectured to be true in general. In this talk, we explore to what extent the marked length spectrum on a sufficiently large finite set approximately determines the metric.