Field Theory, Quantum Gravity and Strings [electronic resource] : Proceedings of a Seminar Series Held at DAPHE, Observatoire de Meudon, and LPTHE, Université Pierre et Marie Curie, Paris, Between October 1984 and October 1985 / edited by H. J. de Vega, N. Sánchez.

Lectures on quantum cosmology -- Solitons and black holes in 4,5 dimensions -- Truncations in Kaluza-Klein theories -- Canonical quantization and cosmic censorship -- Quantum effects in non inertial frames and quantum covariance -- Stochastic de sitter (inflationary) stage in the early universe -- Some mathematical aspects of stochastic quantization -- Superstrings and the unification of forces and particles -- Conformally invariant field theories in two dimensions critical systems and strings -- Liouville model on the lattice -- Exact solvability of semiclassical quantum gravity in two dimensions and liouville theory -- Some features of complete integrability in supersymmetric gauge theories -- Monopoles and-reciprocity -- Non-local conservation laws for non-linear sigma models with fermions -- Inverse scattering transform in angular momentum and applications to non-local effective actions -- General structure and properties of the integrable nonlinear evolution equations in 1+1 and 2+1 dimensions -- Hierarchies of poisson brackets for elements of the scattering matrices -- Multidimensional inverse scattering and nonlinear equations -- An SL(3)-Symmetrical F-Gordon equation:Z?B = 1/3 (eZ?e?2Z) -- The solution of the cartan equivalence problem for $$\frac{{d^2 y}}{{dx^2 }} = F(x,y,\frac{{dy}}{{dx}})$$ under the pseudo-group $$\bar x = \varphi (x),\bar y = \psi (x,y)$$ -- Quantum R matrix related to the generalized Toda system: An algebraic approach -- Solution of the multichannel Kondo-problem -- The directed animals and related problems -- Incommensurate structures and breaking of analyticity.