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.

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