Abstract

Smooth Factors of Projective Actions of Higher Rank Lattices and Rigidity

Ralf Spatzier
University of Michigan

This is joint work with Alex Gorodnik. We study smooth factors of projective action of higher rank lattices $\Gamma$ in a semsimple group $G$ on $G/P$, $P$ a parabolic. Under a mild condition on existence of a differentiable sink, we show that these actions are $C^{\infty}$ conjugate to a projective action.