Quantum Field Theory and Noncommutative Geometry

This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathemtical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is set by gravity that probably necessecitates extension of these methods to geometries with minimum length and therefore quantiztion of space. This volume builds on the lectures and talks that have been given at a recent meeting on