Speaker：Zhenqi Wang（Michigan State University）

Time：2022-04-22, 10:00

Location：Tencent Meeting ID：840988192（No Password）

Abstract:

We study the regularity of a conjugacy H between a hyperbolic toral automorphism A and its smooth perturbation f. We show that if H is weakly differentiable then it is C1+Hölder and, if A is also weakly irreducible, then H is C∞. As a part of the proof, we establish results of independent interest on Hölder continuity of a measurable conjugacy between linear cocycles over a hyperbolic system. As an application, we improve regularity of the conjugacy to C∞ in prior local rigidity results. This is a joint work with Boris Kalinin and Victoria Sadovskaya.