JournalsowrVol. 2 / No. 4DOI 10.4171/owr/2005/43

Arakelov Geometry

  • Jean-Benoît Bost

    Université Paris-Sud, Orsay, France
  • Klaus Künnemann

    Universität Regensburg, Germany
  • Damian Roessler

    Universite Paris VII, France
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Abstract

Arakelov geometry studies the geometry and arithmetic of schemes of finite type over Spec , i.e. systems of polynomial equations with integer coefficients. It combines methods from algebraic geometry, number theory, and hermitian differential geometry.
The workshop was organized by Jean-Beno\^{\i}t Bost (Orsay), Klaus K\"unnemann (Regensburg) and Damian Roessler (Paris). It brought together internationally leading experts in the area as well as a considerable number of young researchers. The talks covered various aspects of Arakelov geometry from analytic torsion over adelic and non-archimedean analytic spaces to modular forms and diophantine geometry.
A non-mathematical complement was a piano recital by Harry Tamvakis on Thursday night featuring Bach, Beethoven and Chopin.