Alexander Gorodnik: Smooth factors of flag manifolds

Abstract: In this talk we will be interested in the following basic question: given a (measurable) conjugacy between dynamical systems, how regular is it? A well-known theorem of Margulis classifies measurable factors of flag manifolds, and an analogous result in the continuous category has been established by Dani. In this talk, we discuss a classification of smooth factors under some hyperbolicity assumptions.
This is a joint work with R. Spatzier.