Contents -- Preface -- Acknowledgements -- Opening remarks -- The Henri Poincare Prize sponsored by the Daniel lagolnitzer Foundation -- Plenary talks -- On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory -- Symmetries and "simple" solutions of the classical n-body problem -- Dirac-Fock models for atoms and molecules and related topics -- Locally covariant quantum field theory -- Simple models of turbulent transport -- Algebraic versus Liouville integrability of the soliton systems -- Mathematical quasicrystals: a tale of two topologies -- Strings through the microscope -- Critical percolation and conformal invariance -- The energy of charged matter -- Entropy production and convergence to equilibrium for the Boltzmann equation -- Aspects of free probability -- Invited session talks -- Condensed matter physics -- Adiabatic transport Kubo formula and Anderson localization in some lattice and continuum models -- Transport in adiabatic quantum pumps -- One-dimensional behavior of dilute Bose gases in traps -- Semiclassical dynamics of an electron moving in a slowly perturbed periodic potential -- Dynamical systems -- Linear quasi-periodic systems - reducibility and almost reducibility -- On discrete Schrodinger operators with stochastic potentials -- Non-zero random Lyapunov exponents versus mean deterministic exponents for a twist like family of diffeomorphisms of the two sphere -- Equilibrium statistical mechanics -- Dimensional reduction for isotropic and directed branched polymers -- Random path representation and Ornstein-Zernike theory of fluctuations -- Construction of a 2-d Fermi Liquid -- The restriction property for conformally covariant measures -- Fluid dynamics and nonlinear PDEs.

Birkhoff normal form for some quasilinear Hamiltonian PDEs -- Coupling stochastic PDEs -- Long time behaviour of periodic stochastic flows -- Local in time and space nonlinear stability of pulses in an unstable medium -- Some mathematical problems of statistical hydrodynamics -- General relativity -- Formation of singularities in Yang-Mills equations -- A family of quasi-local mass functionals with monotone flows -- On a wave map equation arising in general relativity -- Integrable systems and random matrix theory -- Limiting distribution of last passage percolation models -- Differential equations and the Bethe ansatz -- Correlation functions of the XXZ spin-1/2 chain: recent progress -- Applications of a complete expansion for the partition function of random matrix theory -- Complete solutions to form factor equations of SU(2) invariant Thirring model -- The uses of random partitions -- Stochastic growth in one dimension and Gaussian multi-matrix models -- Nonequilibrium statistical mechanics -- Poincare recurrence: old and new -- Analysis of Lyapunov modes for hard-disk fluids -- The fractality of the hydrodynamic modes of diffusion -- On the statistics of free-path lengths for the periodic Lorentz gas -- Nonequilibrium statistical mechanics of open classical systems -- Operator algebras and quantum information -- Quantum dynamical entropies and quantum algorithmic complexities -- Modular invariant partition functions in statistical mechanics conformal field theory and their realisation by subfactors -- Classification of operator algebraic conformal field theories in dimensions one and two -- An application of the Lieb-Thirring inequality in quantum information theory -- Path integrals and stochastic analysis -- Connes-Hida Calculus in index theory -- Wilson loops and spin networks.

Some new developments in Feynman path integrals and applications -- Super-diffusion and its collapse in a quenched multi scale passive transport model -- An analytic approach to Kolmogorov's equations in infinite dimensions and probabilistic consequences -- A functional integral applied to topology and algebra -- Quantum field theory -- Conformal field theories in random domains and Stochastic Loewner evolutions -- Local string field theory -- Energy inequalities in quantum field theory -- Loop quantum gravity -- Quantum mechanics and spectral theory -- Long-time dynamics and localization lengths for the 3-d Anderson model at weak disorders -- Leaky quantum wire and dots: a resonance model -- Product formula for quantum Zeno dynamics -- The adiabatic theorem of quantum mechanics and the Riccati equation -- Zero energy asymptotics of the resolvent in the long range case -- Fractional moment methods for Anderson localization in the continuum -- A particle in the Bio-Savart-Laplace magnetic field: explicit solutions -- Trotter-Kato product formula: some recent results -- String and M theory -- Localizing gauge theories -- Cosmic acceleration and M-theory -- Contributed talks -- Poster sessions -- Satellite meetings -- List of participants.