演讲者：史逸（北京大学）
时间：2019-03-25 11:00-12:00
地点：慧园3栋 415报告厅
Abstract
Let f be a conservative partially hyperbolic diffeomorphism, which is homotopic to an Anosov automorphism A on T^3. We show that the stable and unstable bundles of f are jointly integrable if and only if every periodic point of f admits the same center Lyapunov exponent with A. In particular, f is Anosov. Thus every conservative partially hyperbolic diffeomorphism, which is homotopic to an Anosov automorphism on T^3, is ergodic. This proves the Ergodic Conjecture proposed by Hertz-Hertz-Ures on T^3. This is a joint work with Shaobo Gan.
