The main purpose of the programme is to facilitate interaction between various areas of mathematical physics and linear and non-linear partial differential equations. The use of phase space techniques, that is, of microlocal methods, in the study of solutions to partial differential equations is intended as the underlying motif. Specific topics will include:

• Large energy and semi-classical asymptotics
• Large Coulomb systems
• Resonances
• Periodic structures and random potentials
• Geometric scattering theory
• Degenerate elliptic boundary value problems
• Existence and regularity of solutions to non-linear hyperbolic equations