On the geometry of caustics;Lagrangian embeddings and Lagrangian cobordism;Polynomial invariants of Legendrian links and plane fronts;Solutions of the elliptic qKZB equations and Bethe ansatz I;Singular deformations of Lie algebras. Example: Deformations of the Lie algebra _1 On imaginary plane curves and spin quotients of complex surfaces by complex conjugation;Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture;On a problem of B. Teissier;Embedding theorems for local maps, slow-fast systems and bifurcation from Morse-Smale to Smale-Williams;Topological invariants of fiber singularities;Informal complexification and Poisson structures on moduli spaces;Consistent partitions of polytopes and polynomial measures;On primitive elements in the bialgebra of chord diagrams;Spaces of meromorphic functions on Riemann surfaces;Hamiltonian loops and Arnold's principle;Singularities in the presence of symmetries;Discrete versions of the four-vertex theorem;Excitation of elliptic normal modes of invariant tori in Hamiltonian systems;Ramified coverings of ^2 with one degenerate branching point and enumeration of edge-ordered graphs;On zeros of the Schwarzian derivative;Stratified Picard-Lefschetz theory with twisted coefficients