The topic of the conference is the interplay between set th eory and model theory, both from a mathematical an d a philosophical perspective, with particular emp hasis on the method of forcing. This method, inven ted by Cohen in 1963, facilitated not only a proof of the independence of the Continuum Hypothesis, but also placed at the center of set theory the st udy of its models. Its model theoretic version, in vented by Robinson, attempts to generalize the not ion of algebraic closed fields to other areas of m athematics.
\n\nThe conferece aims to gath er early career scholars in order to foster collab orations and to present a wide perspective on the topics that Cantor and Robinson helped to create a nd develop. A series of three mini-courses will be held the week before the conference on the topics of Large Cardinals, Robinson Forcing, and Forcing Axioms.
\nWe expect to host up to 14 contributed talks by speakers of any nati onalities by double-blind review. Submissions of o riginal contributions are invited in any area of s et theory, model theory, and philosophy of set the ory or model theory with particular attention to t he the following topics: - Forcing in set theory - Model theoretic forcing - Generic absoluteness pr inciples - Forcing Axioms - Boolean valued models and constructions - Maximality - Universism or Plu ralism - Theory and Structure(s) - Genericity and arbitrariness. Submissions by young scholars are e specially welcome.
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