Measures of maximal entropy, old and new results
Ali Tahzibi (ICMC-USP, São Carlos, Brasil)

We try to understand the problem of uniqueness/niteness and hyperbolicity of ergodic measures of maximal entropy for partially hyperbolic dieomorphisms with one-dimensional center bundle. I will talk about some previous results with Joas Elias Rocha and Richard Cubas in the compact center leaves case, where we extended previous results with Hertz,Hertz and Ures. Finally, we expose the ideas of recent results with Buzzi, Crovisier and Poletti, studying the same problem in the discretized Anosov flows setting.