Arakelov Geometry

Abstract

Arakelov geometry studies the geometry and arithmetic of schemes of finite type over Spec $\mathbf{Z}$, 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-Benoît Bost (Orsay), Klaus Künnemann (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.