JournalsowrVol. 9 , No. 4DOI 10.4171/owr/2012/53

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

A subscription is required to access this article.

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.