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Dynamical degrees of endomorphisms of affine surfaces

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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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Room 119, Alison Richard Building, West Rd, Cambridge CB3, Aida Martin Zoom: https://maths-cam-ac-uk.zoom.us/j/92731536549?pwd=SkhEQThwVFdDY0h1RUJkV2JPMWZSUT09

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