Ralf Spatzier
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109
About the classification of Anosov actions
The classification of Anosov systems is a deep and central problem in
dynamics, going back to the 70's for the case of single Anosov
diffeomorphisms. While this conjecture is outstanding, much progress has been
made for the case of commuting Anosov diffeomorphisms and Anosov
Rn-actions. Essentially, one conjectures that such
actions are smoothly conjugate to algebraic actions. We prove this for the
special case of Cartan actions under additional technical assumptions.