Forty-eight scientists from 13 countries participated in this conference, which covered the following three main topics in many-particle systems: the theory and applications of the Boltzmann equation, the nonlinear systems connected with the Vlasov equation (such as the Vlasov-Poisson and Vlasov-Maxwell systems), and the quantum mechanical counterparts of the above (such as the quantum Boltzmann equation, Wigner-Poisson and Schrodinger-Poisson systems). The 43 half-hour talks and the two 20-minute-talks represented latest developments in the following particular research areas: Discrete velocity models and the hydrodynamic limit of the Boltzmann equation, existence theory (with particular emphasis laid on suitable boundary conditions), stability, numerical analysis and modelling, and the diffusion limit of kinetic equations. There were two lectures in the new area of the Vlasov-Einstein equations. The conference was lively and reflected the vivid activity of the research being carried out in important mathematical aspects of many-particle systems. The abstracts below have been prepared on the basis of texts prepared by the authors and edited by us, in order to comply with space limitations. They are given in the chronological order of the talks.