Dynamical Systems Seminar

Title: Marked length pattern rigidity
Speaker: Yanglong Hao
Speaker Info:
Brief Description:
Special Note: Chicago Action Now

Given a closed Riemannian manifold M, the length of shortest geodesic for each free homotopy class of loops on M is called the (minimal) length of the class. This gives a map called marked length spectrum. It is conjectured that the fundamental group and marked length spectrum together determine the isometric type of negatively curved manifolds. This conjecture has been verified for surfaces and locally symmetric spaces. In this talk, we show that for negatively curved arithmetic manifolds, the fundamental group together with all pair of different equal length classes is enough to recover the metric up to scaling.
Date: Tuesday, October 11, 2022
Time: 3:00pm
Where: Transportation center
Contact Person: Nir Avni
Contact email: avni.nir@gmail.com
Contact Phone: 847-491-5567
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