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Brett Nasserden, Department of Pure Mathematics, University of Waterloo

"The valuative tree at infinity"

To study the dynamics of a polynomial map on the complex affine plane we must be able to study the behavior of the mapping near the origin and near infinity. The study of the dynamics near a point leads to the notion of the valuative tree at the origin of the affine plane. To study the dynamics near infinity, we introduce a new but analogous object,the valuative tree at infinity, which will be the subject of this lecture. 

MC 5403