Séminaire TNGA : Jinhe Ye

Orateur : Jinhe Ye (University of Oxford)

Titre : Finiteness of tropical functions on skeleta

Résumé : Skeleta are piecewise-linear subsets of Berkovich spaces that occur naturally in a number of contexts. We will present a general finiteness result, obtained in collaboration with A. Ducros and E. Hrushovski and F. Loeser, about the ordered abelian group of tropical functions on skeleta of Berkovich analytifications of algebraic varieties. The proof uses the stable completion of an algebraic variety, a model theoretic version of analytification previously developed by Hrushovski and Loeser.