Oberwolfach Reports

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Volume 2, Issue 4, 2005, pp. 2447–2492
DOI: 10.4171/OWR/2005/43

Published online: 2006-09-30

Arakelov Geometry

Jean-Benoît Bost[1], Klaus Künnemann[2] and Damian Roessler[3]

(1) Université Paris-Sud, Orsay, France
(2) Universität Regensburg, Germany
(3) Universite Paris VII, France

Arakelov geometry studies the geometry and arithmetic of schemes of finite type over Spec ${\bf Z}$, 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-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.

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Bost Jean-Benoît, Künnemann Klaus, Roessler Damian: Arakelov Geometry. Oberwolfach Rep. 2 (2005), 2447-2492. doi: 10.4171/OWR/2005/43