Student Dynamics Seminar

We will continue our discussion of the main theorem in Convex Divisible I (Y. Benoist). The focus will be on the proof that strictly convex divisible Hilbert geometries have Anosov geodesic flow. Using some other facts from dynamics, we will observe that this implies C^1 (in fact, slightly more than C^1) regularity of the boundary. This completes the proof of the main theorem. Time permitting, I will explain how the results discussed so far give us some rigidity results in Hilbert geometry.
Speaker(s): Mitul Islam (UM)