Minimality of strong foliations
Sylvain Crovisier (Paris-Saclay, França)

I will focus on the well-known class of (mixing) Anosov dieomorphisms. It is known that each of these systems preserves a foliation which is invariant, expanded by the dynamics and which is minimal: any leaf is dense. Sometimes such systems preserve sub-foliations, whose properties are much less understood: I will discuss its minimality and its stability. The tools that are developed along the way give perspective to address larger classes of partially hyperbolic systems. This is a joint work with A. Avila, A. Eskin, R. Potrie, A. Wilkinson, Z. Zhang.