May 25, 2018
2:30 PM - 3:30 PM
Math Tower P-131
|Dynamical Systems Seminar|
Alena Erchenko, Penn State University
Flexibility, negative curvature, and conformal classes
Consider a closed orientable surface of negative Euler characteristic. In joint work with A. Katok, we showed the flexibility of metric and topological entropies of geodesic flow in the class of negatively curved metrics of fixed total area. In this talk, we will discuss the flexibility of entropies under the additional restriction that the metrics we consider are conformally equivalent to a fixed hyperbolic metric. It turns out that some restrictions arise. Also, we will point out connections with flexibility of some geometrical data (joint with T. Barthelmé).