This volume reflects the growing collaboration between
mathematicians and theoretical physicists to treat the foundations
of quantum field theory using the mathematical tools of q-deformed
algebras and noncommutative differential geometry. A particular
challenge is posed by gravity, which probably necessitates
extension of these methods to geometries with minimum length and
therefore quantization of space. This volume builds on the lectures
and talks that have been given at a recent meeting on "Quantum
Field Theory and Noncommutative Geometry." A considerable effort
has been invested in making the contributions accessible to a wider
community of readers - so this volume will not only benefit
researchers in the field but also postgraduate students and
scientists from related areas wishing to become better acquainted
with this field.
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