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Topology Seminar- Noelle Sawyer

Topology Seminar
November 7, 2019
1:45PM - 2:45PM
Math Building 317

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Add to Calendar 2019-11-07 13:45:00 2019-11-07 14:45:00 Topology Seminar- Noelle Sawyer Title: Partial marked length spectrum rigidity for negatively curved surfaces Speaker: Noelle Sawyer - Wesleyan University Abstract: The marked length spectrum of a metric on a compact Riemannian manifold records the length of the shortest closed curve in each free homotopy class. It is known that a negatively curved metric on a compact Riemannian manifold is uniquely determined by its marked length spectrum up to isometry. My results show that under certain conditions on the excluded homotopy classes, a partial marked length spectrum also uniquely determines such a metric. Math Building 317 Department of Mathematics math@osu.edu America/New_York public

Title: Partial marked length spectrum rigidity for negatively curved surfaces

Speaker: Noelle Sawyer - Wesleyan University

Abstract: The marked length spectrum of a metric on a compact Riemannian manifold records the length of the shortest closed curve in each free homotopy class. It is known that a negatively curved metric on a compact Riemannian manifold is uniquely determined by its marked length spectrum up to isometry. My results show that under certain conditions on the excluded homotopy classes, a partial marked length spectrum also uniquely determines such a metric.

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