Marked length spectrum rigidity of negatively curved manifolds

Center for Dynamics and Geometry Colloquium

Meeting Details

For more information about this meeting, contact Kristin Berrigan, Svetlana Katok, Kurt Vinhage.

Speaker: Andrey Gogolev, Ohio State University

Abstract: Marked length spectrum rigidity problem for a closed manifold asks to recover the Riemannian metric up to an isometry from the lengths of closed geodesics. For non-positively curved surfaces this problem was solved about 30 years ago by Croke and Otal (independently). I will review the history and the recent progress on the problem including work of Guillarmou-Lefeuvre in higher dimensions and my joint work with F. Rodriguez Hertz on the generalized marked length spectrum rigidity.

Room Reservation Information

Room Number: 114 McAllister

Date: 09/17/2019

Time: 3:00pm - 4:00pm