Oberwolfach Reports

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Volume 9, Issue 4, 2012, pp. 3211–3265
DOI: 10.4171/OWR/2012/53

Published online: 2013-08-07

Non-Archimedean Analytic Geometry

Vladimir G. Berkovich[1], Walter Gubler[2] and Annette Werner[3]

(1) Weizmann Institute of Science, Rehovot, Israel
(2) Universit├Ąt Regensburg, Germany
(3) Johann Wolfgang Goethe-Universit├Ąt, Frankfurt am Main, Germany

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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Berkovich Vladimir, Gubler Walter, Werner Annette: Non-Archimedean Analytic Geometry. Oberwolfach Rep. 9 (2012), 3211-3265. doi: 10.4171/OWR/2012/53