JournalsowrVol. 6 / No. 1DOI 10.4171/owr/2009/05

The Arithmetic of Fields

  • Moshe Jarden

    Tel Aviv University, Israel
  • Florian Pop

    University of Pennsylvania, Philadelphia, United States
  • Leila Schneps

    Université Pierre et Marie Curie, Paris, France
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Abstract

The workshop “The Arithmetic of Fields” focused on a series of problems concerning the interplay between number theory, arithmetic and algebraic geometry, Galois theory, and model theory, such as: the Galois theory of function fields / covers of varieties, rational points on varieties, Galois cohomology, local-global principles, lifting/specializing covers of curves, model theory of finitely generated fields, etc.