Model theory of valued fields

Expired
Dates : 29 May 2023 » 02 June 2023

Place : CIRM (Marseille Luminy)
France

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Organizer : CIRM – Centre International de Rencontres Mathématiques

Mathematics and Statistics;
Keywords: Arithmetic, Geometry, Number Theory, Topology
Description :

One of the most striking recent results in model theory is Johnson’s classification, in 2020, of fields of finite dp-rank : under purely combinatorial condition (the finiteness of a certain dimension) infinite non algebraically closed fields must come with a definable henselian topology. This result illustrates (and partially explains) the very strong relationship between valuation theory and model theory that has existed since the 1960’s. Valued fields are also at the center of the interaction between model theory number theory and algebraic geometry which blossomed in the past fifteen years. This conference will bring together specialists from the algebraic, arithmetic and the pure model theory communities that all study valued fields, but with very different tools. Our aim is, by ensuring a continued dialog between these communities, to further exchanges and promote new interactions. Its main focus will be on the arithmetic of valued fields, classification and geometric model theory in valued fields and non archimedean tame geometry.


Model theory of valued fields to be held in CIRM (Marseille Luminy), France between 29 May 2023 and 02 June 2023. It is organised by CIRM – Centre International de Rencontres Mathématiques. It covers specific areas of Mathematics and Statistics such as 0. Visit the website of the conference for more detailed information or contact the organizer for specific questions.
Add to calendar 2023-05-29 2023-06-02 Europe/London Model theory of valued fields https://www.sciencedz.net/en/conference/93192-model-theory-of-valued-fields CIRM (Marseille Luminy) - France CIRM – Centre International de Rencontres Mathématiques

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