Orateur
Zhenqi Wang
(Michigan State University)
Description
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 C^1+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.
