Seminario del 2024

Dicembre
16
2024
Francesco Paolo Gallinaro
Automorphisms of valued fields: amalgamation and existential closedness
nell'ambito della serie: LOGIC, CATEGORIES, AND APPLICATIONS SEMINAR
algebra e geometria
logica
A valued difference field is a field equipped with a valuation and an automorphism which preserves the valuation ring setwise. In this talk I will discuss various results on these objects, concerning the existence of a section of the valuation compatible with the automorphism and of extensions of the valuation to difference fields extension, the solvability of amalgamation problems of valued difference fields, and the classification of the theory of valued difference fields in the sense of positive model theory. This is joint work with Jan Dobrowolski and Rosario Mennuni.
organizzato da: Martino Lupini
nell'ambito del Progetto Fondi U.E. ERC DAT CUP J33C22004270006 G.A. 101077154 DEFINABLE ALGEBRAIC TOPOLOGY del prof. Martino Lupini

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