Rigidity - From geometry to Dynamics and back
Time and place
12:30–1:25 PM on Thursday, March 30th, 2023; NAC 6/114
Andrey Gogolev (Ohio State University)
Note
Prior to the actual talk at 12:30 PM, there will be coffee, tea and muffins that will be available and a chance to meet the speaker on a one on one basis.
This will take place in the Math Department lounge in NAC 8/133, starting at 12pm.
Abstract
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.
