Mathematics Colloquium: Andrey Gogolev (Ohio State Univ.) - Rigidity: From Geometry to Dynamics and back)

Thu, Mar 30, 2023 - 12:30 PM — Thu, Mar 30, 2023 - 01:25 PM
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The City College of NY, North Academic Center, 160 Convent Ave, New York, NY 10031,
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Secondary Phone
Event Location
North Academic Center (NAC), Room 8/133
Event Details

Andrey Gogolev ( Ohio State University)

Title: Rigidity - From geometry to Dynamics and back


Celebrated Otal-Croke marked length spectrum rigidity theorem recovers the geometry of a closed negatively curved surface from discrete data: the periods of closed geodesics on the surface. As an intermediate step of the proof the dynamics of the (Anosov) geodesic flow is recovered from the periods. We generalize this dynamical rigidity result to the setting of volume preserving 3-dimensional Anosov flows. In turn, it leads to a more general “weighted” marked length spectrum rigidity for negatively curved surfaces. Joint work with F. Rodriguez Hertz.

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