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Presented By: Department of Mathematics

Complex Analysis, Dynamics and Geometry

Degree sequences of birational transformations

To a birational map of a smooth projective variety one can associate the sequence of the degrees of its iterates. We will look at the question, which kind of sequences can be obtained in that way. I will first recall some results about degree sequences and dynamical degrees in the case of surfaces and then discuss some new constraints and examples in higher dimensions. We will also see that the set of all possible degree sequences is countable; this generalizes a result of Bonifant and Fornaess. Speaker(s): Christian Urech (University of Basel)

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