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The workshop focused on recent developments in non-Archimedean analytic geometry with various applications to arithmetic and algebraic geometry. These applications include questions in Arakelov theory, p-adic differential equations, p-adic Hodge theory and the geometry of moduli spaces. Various methods were used in combination with analytic geometry, in particular perfectoid spaces, model theory, skeleta, formal geometry and tropical geometry.
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Vladimir G. Berkovich, Walter Gubler, Annette Werner, Non-Archimedean Analytic Geometry. Oberwolfach Rep. 9 (2012), no. 4, pp. 3211–3265DOI 10.4171/OWR/2012/53