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Abstract:
I will discuss some aspects of the algebraic structure of finitely
generated groups of diffeomorphisms of compact one-manifolds. In
articular, we show that if $G$ is not virtually metabelian then (G \times
Z)*Z cannot act faithfully by C^2 diffeomorphisms on a compact
one-manifold. Among the consequences of this result is a completion of the
classification of right-angled Artin groups which admit faithful
C^{\infty} actions on the circle, a program initiated together with H.
Baik and S. Kim. This represents joint work with S. Kim.
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