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.
Cite this article
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