REGULARITY OF CONJUGACIES OF ALGEBRAIC ACTIONS OF ZARISKI DENSE GROUPS (2009)
Alexander Gorodnik, Theron Hitchman, Ralf Spatzier
Abstract. Let α0 be an affine action of a discrete group Γ on a compact homogeneous space X and α1 a smooth action of Γ on X which is C 1-close to α0. We show that under some conditions, every...
Regularity of conjugacies of algebraic actions of Zariski dense groups (2008)
Gorodnik, Alexander, Hitchman, Theron, Spatzier, Ralf
Let \alpha_0 be an affine action of a discrete group \Gamma on a compact homogeneous space X and \alpha_1 a smooth action of \Gamma on X which is C^1-close to \alpha_0. We show that under some...
Strengthening Kazhdan's Property $(T)$ by Bochner Methods (2006)
Fisher, David, Hitchman, Theron
In this paper, we propose a property which is a natural generalization of Kazhdan's property $(T)$ and prove that many, but not all, groups with property $(T)$ also have this property. Let $\G$ be a...
Cocycle superrigidity and harmonic maps with infinite-dimensional targets (2006)
Fisher, David, Hitchman, Theron
We announce a generalization of Zimmer's cocycle superrigidity theorem proven using harmonic map techniques. This allows us to generalize many results concerning higher-rank lattices to all lattices...
Cocycle superrigidity and harmonic maps with infinite dimensional targets (2005)
Fisher, David, Hitchman, Theron
We announce a generalization of Zimmer's cocycle superrigidity theorem proven using harmonic map techniques. This allows us to generalize many results concerning higher rank lattices to all lattices...