Title: Flexibility of entropies for negatively curved surfaces and geometry in a fixed conformal class
Speaker: Alena Erchenko (Ohio State University)
Abstract: 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 aforementioned result and 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 in conformal classes. Also, we will point out some geometric consequences for those families of Riemannian metrics (joint with T. Barthelmé).
Note: The goal of Welcome Seminar is to give an opportunity to new postdoctoral fellows and tenure track professors to introduce themselves to their colleagues. The talks are intended to be non-technical and accessible to graduate students as well. Please plan to attend and encourage your graduate students to do so as well. The talk will be preceded by a colloquium-style reception at 4:00, in the area adjacent to Cockins Hall 240 on the second floor of the Math Building.
