The Arnold-Gelfand Mathematical Seminars

Discriminants and Local Invariants of Planar Fronts.- Crofton Densities, Symplectic Geometry and Hilbert’s Fourth Problem.- Projective Convex Curves.- Topological Classification of Real Trigonometric Polynomials and Cyclic Serpents Polyhedron.- Singularities of Short Linear Waves on the Plane.- New Generalizations of Poincaré’s Geometric Theorem.- Explicit Formulas for Arnold’s Generic Curve Invariants.- Nonlinear Integrable Equations and Nonlinear Fourier Transform.- Elliptic Solutions of the Yang-Baxter Equation and Modular Hypergeometric Functions.- Combinatorics of Hypergeometric Functions Associated with Positive Roots.- Local Invariants of Mappings of Surfaces into Three-Space.- Theorem on Six Vertices of a Plane Curve Via Sturm Theory.- The Arf—Invariant and the Arnold Invariants of Plane Curves.- Produit cyclique d’espaces et opérations de Steenrod.- Characteristic Classes of Singularity Theory.- Value of Generalized Hypergeometric Function at Unity.- Harish-Chandra Decomposition for Zonal Spherical Function of type An.- Positive Paths in the Linear Symplectic Group.- Invariants of Submanifolds in Euclidean Space.- On Combinatorics and Topology of Pairwise Intersections of Schubert Cells in SLn/B.