Séminaire Géométries ICJ

Non-Archimedean Montel theorem

par Rita Rodriguez Vazquez

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Salle 112 (ICJ)

Salle 112

ICJ

1er étage bâtiment Braconnier, Université Claude Bernard Lyon 1 - La Doua
Description
We shall present some results on the convergence of sequences of morphisms between analytic Berkovich spaces. We prove that under suitable conditions on the source, any sequence of maps to an affinoid space admits a subsequence pointwise converging to a continuous map. We shall give some applications of this result to the dynamics of endomorphisms of the projective space.