This workshop was devoted to a discussion of recent progress made in the understanding of quantum field theories in spacetimes of less than four dimensions. In fact, the subject reached a certain degree of maturity and since most of the contributors played a major role in that progress, this volume constitutes a definitive treatise on this subject. Some of the subjects dealt with include: Quantum Groups and their Representations; W-Algebras and their Role in Physical Systems; Conformally Invariant Quantum Field Theories; Integrable Systems; Topological Field Theories.

An accelerating convergence of interests of particle physics and modern experimental and theoretical astrophysics has been witnessed in the past few years. One of the focal points is the observation and phenomenological characterization of Dark Matter from Galactic to the large scale structure of the Universe. Particle physics provides detailed predictions for the cosmological impact of various dark matter candidates. The other central subjects are neutrino astronomy and cosmic ray reactions which provide valuable information both on stellar structure (solar neutrinos) and on the nature of extreme high energy particle interactions. The lectures presented here represent important new contributions to all these fields.

This workshop was devoted to a discussion of recent progress made in the understanding of quantum field theories in spacetimes of less than four dimensions. In fact, the subject reached a certain degree of maturity and since most of the contributors played a major role in that progress, this volume constitutes a definitive treatise on this subject. Some of the subjects dealt with include: Quantum Groups and their Representations; W-Algebras and their Role in Physical Systems; Conformally Invariant Quantum Field Theories; Integrable Systems; Topological Field Theories.

An accelerating convergence of interests of particle physics and modern experimental and theoretical astrophysics has been witnessed in the past few years. One of the focal points is the observation and phenomenological characterization of Dark Matter from Galactic to the large scale structure of the Universe. Particle physics provides detailed predictions for the cosmological impact of various dark matter candidates. The other central subjects are neutrino astronomy and cosmic ray reactions which provide valuable information both on stellar structure (solar neutrinos) and on the nature of extreme high energy particle interactions. The lectures presented here represent important new contributions to all these fields.