The first instances of deformation theory were given by Kodaira and
Spencer for complex structures and by Gerstenhaber for associative
algebras. Since then, deformation theory has been applied as a
useful tool in the study of many other mathematical structures, and
even today it plays an important role in many developments of
modern mathematics. This volume collects a few self-contained and
peer-reviewed papers by experts which present up-to-date research
topics in algebraic and motivic topology, quantum field theory,
algebraic geometry, noncommutative geometry and the deformation
theory of Poisson algebras. They originate from activities at the
Max-Planck-Institute for Mathematics and the Hausdorff Center for
Mathematics in Bonn.
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