The Arnold-Gelfand Mathematical Seminars

Inhaltsverzeichnis

• 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.