Regularity of conjugacy for actions of large groups

Regularity of conjugacy for actions of large groups

-
Alex Gorodnik, University of Bristol and Princeton University
Fine Hall Professors' Lounge (PL)

It is well known that a small perturbation of an Anosov map is topologically conjugate to the original map, but the conjugacy is not smooth in general. We prove that for actions of "large" (e.g., Zariski dense) groups topological conjugacy is smooth. This is a joint work with Hitchman and Spatzier.