Visions in Mathematics

Gauß—Manin Determinant Connections and Periods for Irregular Connections.- Problems in Hamiltonian PDE’S.- On a Classical Limit of Quantum Theory and the Non-Linear Hartree Equation.- Rough Structure and Classification.- Spaces and Questions.- Classification of Infinite-Dimensional Simple Groups of Supersymmetries and Quantum Field Theory.- Geometrization in Representation Theory.- Geometric and Unipotent Crystals.- ?-Functions of Representations and Lifting.- PDE as a Unified Subject.- Lessons for Turbulence.- The Mathematics of the Second Law of Thermodynamics.- Discrete and Continuous: Two Sides of the Same?.- Pythagorean and Platonic Conceptions in XXth Century Physics.- 1. Classical and Modern Topology 2. Topological Phenomena in Real World Physics.- Some Problems in the Theory of Dynamical Systems and Mathematical Physics.- Some Geometrical Concepts Arising in Harmonic Analysis.