First steps of local symplectic algebra;Whittaker functions on quantum groups and deformed Toda operators;Integrable hierarchies and Wakimoto modules;On generalized Kostka polynomials and the quantum Verlinde rule;Semi-infinite flags. I. Case of global curve mathbb {P}^1 Semi-infinite flags. II. Local and global intersection cohomology of quasimaps' spaces;Chiral de Rham complex. II;On algebraic equations satisfied by hypergeometric solutions of the qKZ equation;Deforming the Lie algebra of vector fields on ^1 inside the Lie algebra of pseudodifferential symbols on ^1 Algebras of curvature forms on homogeneous manifolds;Noncommutative rational functions and Farber's invariants of boundary links;Remarks on the geometry of exact transverse line fields;Formality conjectures for chains;On finite order invariants of triple point free plane curves;Appendix. Personal notes