CRM: Centro De Giorgi
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Women in Dynamical Systems & Ergodic Theory

Global smooth rigidity for toral automorphisms

speaker: Zhenqi Wang (Michigan State University)

abstract: Suppose f is a diffeomorphism on torus whose linearization A is weakly irreducible. Let H be a conjugacy between f and A. We prove the following: 1 if A is hyperbolic and H is weakly differentiable 2. if A is partially hyperbolic and H is C1+holder. Then H is C\infty. Our result shows that the conjugacy in all local and global rigidity results for irreducible A is $C\infty$. This is a joint work with B. Kalinin and V Sadovskaya.


timetable:
Fri 24 May, 9:00 - 10:00, Aula Dini
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