Geometry and Physics

Dedication. Preface. Israel Gelfand (S. Gindikin). Killing spinors, twistor-spinors and Hijazi inequality (A. Lichnerowicz). Integral geometry, twistors and generalised conformal structures (S.G. Gindikin). Composite electrodynamics (M. Flato and C. Fronsdal). Gluing of perverse sheaves and discrete series representation (D. Kazhdan and G. Laumon). Extending delta to singular Riemann surfaces (R. Seeley and I.M. Singer). Les differentielles de semi-margingales vraies, sections de fibres vectoriels (L. Schwartz). The moment map for circle actions on symplectic manifolds (D. McDuff). Neveu-Schwarz sheaves and differential equations for Mumford superforms (Yu. I. Manin). Integral geometry and separation of continuous and discrete spectra in regular representation of PSL (2,R) (M.I. Graev). Rational billiards and algebraic curves (E. Aurell and C. Itzykson). Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras (B.L. Feigin and D.B. Fuchs). Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations (H. Berestycki and L. Nirenberg). Construction of constant curvature punctured Riemann surfaces with particle-scattering interpretation (A. Bilal and J.-L. Gervais). On the interior scattering of waves, defined by hyperbolic variational principles (V.I. Arnold). Koszul duality (A.A. Beilinson, V.A. Ginsburg and V.V. Schechtman). Representations of the Virasoro algebra by the orbit method (A.A. Kirillov and D.V. Yuriev). On the Kostka-Green-Foulkes polynomials and Clebsch-Gordon numbers (A.N. Kirillov). Quantization of symplectic orbits of compact Lie groups by means of the functional integral (A. Alekseev, L. Faddeev and S. Shatashvili). Nonholonomic manifolds and nilpotent analysis (V. Gershkovich and A. Vershik). Tensor product multiplicities and convex polytopes in partition space (A.D. Berenstein and A.V. Zelevinsky). A remark on the Gelfand-Tsetlin patterns for symplectic groups (A.A. Kirillov). Space-time chaos in the system of weakly interacting hyperbolic systems (Ya. B. Pesin and Ya. G. Sinai). Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure (F. Grunewald and G. Margulis). Quantum R -matrices and factorization problems (N.Yu. Reshetikhin and M.A. Semenov-Tian-Shansky). The Selberg zeta function and a new Kahler metric on the moduli space of punctured Riemann surfaces (L.A. Takhtajan and P.G. Zograf). Integral geometry on families of surfaces in the space (A.B. Goncharov). One physical problem with possible mathematical significance (A.M. Polyakov). Exactly solvable models of conformal-invariant quantum field theory in D -dimensional space (E.S. Fradkin and M.Ya. Palchik). Virasoro-Gelfand-Fuks type algebras, Riemann surfaces, operator's theory of closed strings (I.M. Krichever and S.P. Novikov). On the support of Plancherel measure (J.N. Bernstein). Dynamically triangulated random surfaces (A.A. Migdal).