Dynamical degrees of endomorphisms of affine surfaces

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• Marc Abboud, University of Rennes
• Wednesday 01 March 2023, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Dhruv Ranganathan.

In 2007, Favre and Jonsson showed that the first dynamical degree of any polynomial transformation of the complex affine plane is a quadratic integer. We show that the result still holds for any endomorphism f of any affine surface X_0. In this talk, I will present the main tool of the proof which is the use of valuations and explain the relation between the dynamics of f over X_0 and the dynamics of f over the space of valuations over X_0 centered at infinity.

This talk is part of the Algebraic Geometry Seminar series.

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