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The workshop “The Arithmetic of Fields” focused on a series of problems concerning the interplay between number theory, arithmetic and algebraic geometry, Galois theory, and model theory, such as: the Galois theory of function ﬁelds / covers of varieties, rational points on varieties, Galois cohomology, local-global principles, lifting/specializing covers of curves, model theory of ﬁnitely generated ﬁelds, etc.
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Moshe Jarden, Florian Pop, Leila Schneps, The Arithmetic of Fields. Oberwolfach Rep. 6 (2009), no. 1, pp. 285–354