The Abel Symposium 2008 focused on the modern theory of
differential equations and their applications in geometry,
mechanics, and mathematical physics. Following the tradition of
Monge, Abel and Lie, the scientific program emphasized the role of
algebro-geometric methods, which nowadays permeate all mathematical
models in natural and engineering sciences. The ideas of invariance
and symmetry are of fundamental importance in the geometric
approach to differential equations, with a serious impact coming
from the area of integrable systems and field theories.
This volume consists of original contributions and broad
overview lectures of the participants of the Symposium. The papers
in this volume present the modern approach to this classical
subject.
General
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