JournalsowrVol. 9, No. 4pp. 3211–3265

Non-Archimedean Analytic Geometry

  • Vladimir G. Berkovich

    Weizmann Institute of Science, Rehovot, Israel
  • Walter Gubler

    Universität Regensburg, Germany
  • Annette Werner

    Johann Wolfgang Goethe-Universität, Frankfurt am Main, Germany
Non-Archimedean Analytic Geometry cover

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Abstract

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. 3211–3265

DOI 10.4171/OWR/2012/53