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Francesco Gallinaro (University of Pisa) – Valued difference fields: amalgamation and existential closedness

Category
Model Theory
Date
@ MALL 1
Date
@ MALL 1, 14:00
Location
MALL 1
Speaker
Francesco Gallinaro
Affiliation
University of Pisa
Category

A valued difference field is a valued field equipped with an automorphism which fixes the valuation ring setwise. I will discuss various properties of the existentially closed valued difference fields, both from the algebraic and the model-theoretic perspective, and I will highlight the role of tropical geometry in some of the proofs. This is joint work with Jan Dobrowolski and Rosario Mennuni.