Here are the abstracts for the summer school and conference. Surena Hozoori: Strongly adapted contact geometry of Anosov 3-flows Abstract: We will discuss some recent developments in the contact geometric theory of Anosov 3-flows, whose roots go back to the works of Mitsumatsu and Eliashberg-Thurston in the mid 1990s. In particular, we provide a contact geometric characterization of Anosov 3-flows based on interactions with Reeb dynamics, as well as investigate the basic properties of the resulting geometries. Time permitting, we will discuss how these results allow one to re-approach some classical questions in Anosov dynamics. Agustin Moreno: Cone structures from a dynamical and probabilistic viewpoint Abstract: The goal of this talk is to explore, from a geometric and probabilistic point of view, the dynamics of cone structures (i.e. distributions of conical sets) adapted to open book decompositions. This is inspired by the picture which arises in the study of the circular restricted three body problem (CR3BP). A problem that inspired this investigation is that of understanding, for the CR3BP, which points in configuration space can be reached from a predetermined point.
