Regularization of pseudo-automorphisms

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• Charles Favre, École Polytechnique
• Wednesday 15 May 2024, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Holly Krieger.

A pseudo-automorphism f: X → X of a projective algebraic variety is a birational self-map inducing a regular automorphism from the complement of a codimension 2 open subset of X onto its image. Any surface pseudo-automorphism is regular. But It is a subtle problem to characterize pseudo-automorphisms in higher dimension that can be made regular in some birational model. This question is strongly related to the dynamics of f, and more specifically to its dynamical degrees. We shall discuss in more details the case of families of abelian varieties, which we studied in depth with Alexandra Kuznetsova.

This talk is part of the Algebraic Geometry Seminar series.

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