Robust transitivity of geodesic flows from metrics with conjugate points

In this talk, I am going to present a general criterion to obtain robust transitivity of partially hyperbolic geodesic flows. I will introduce all the concepts that are needed to state the main theorem. As a corollary of the criterion, we obtain the existence of open sets of Riemannian metrics with conjugate points and topologically transitive geodesic flows for higher dimensions.

This is part of a joint work with Luis Piñeyrúa and Sergio Romaña.