Boris Kalinin (University of South Alabama)

Smooth rigidity of higher rank abelian actions.

Abstract. We will consider rigidity problems related to the smooth structure of hyperbolic actions of groups $\mathbb{Z}^k$ and $\mathbb{R}^k$ with $k$ at least 2. We will discuss recent progress with emphasis on global smooth rigidity as well as the relations with other problems for higher rank actions and for single hyperbolic and partially hyperbolic systems.