Seminar Algebra and Geometry: Stéphane Lamy (Université de Toulouse)

Finite subgroups of tame polynomial automorphisms

The group of tame polynomial automorphisms of the n-dimensional complex affine space is the group generated by linear maps and polynomial transvections. I will describe an action of this group on a metric space whose construction is inspired from the theory of affine Bruhat-Tits buildings. In dimension n = 3, we show that this space is simply connected with non-positive curvature. This allows to get a description of the finite subgroups of the 3-dimensional tame group. (Joint work with P. Przytycki)

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