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The Arnold-Gelfand Mathematical Seminars

  • Conference proceedings
  • © 1997

Overview

Editors:
  1. V. I. Arnold

    1. Ceremade, Université Paris-Dauphine, Paris Cedex 16, France

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  2. I. M. Gelfand

    1. Department of Mathematics, Rutgers University, New Brunswick, USA

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  3. V. S. Retakh

    1. Department of Mathematics, Harvard University, Cambridge, USA

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  4. M. Smirnov

    1. Department of Mathematics, Columbia University, New York, USA

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Table of contents (20 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Discriminants and local invariants of planar fronts

    • Francesca Aicardi
    Pages 1-76

  3. Crofton Densities, Symplectic Geometry and Hilbert’s Fourth Problem

    • J. C. Alvarez, I. M. Gelfand, M. Smirnov
    Pages 77-92

  4. Projective convex curves

    • S. Anisov
    Pages 93-99

  5. Topological classification of real trigonometric polynomials and cyclic serpents polyhedron

    • V. Arnold
    Pages 101-106

  6. Singularities of short linear waves on the plane

    • Ilia A. Bogaevski
    Pages 107-112

  7. New generalizations of Poincaré’s geometric theorem

    • Yu V. Chekanov
    Pages 113-121

  8. Explicit formulas for Arnold’s generic curve invariants

    • S. Chmutov, S. Duzhin
    Pages 123-138

  9. Nonlinear integrable equations and nonlinear Fourier transform

    • A. S. Fokas, I. M. Gelfand, M. V. Zyskin
    Pages 139-170

  10. Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions

    • Igor B. Frenkel, Vladimir G. Turaev
    Pages 171-204

  11. Combinatorics of hypergeometric functions associated with positive roots

    • Israel M. Gelfand, Mark I. Graev, Alexander Postnikov
    Pages 205-221

  12. Local invariants of mappings of surfaces into three-space

    • Victor V. Goryunov
    Pages 223-255

  13. Theorem on six vertices of a plane curve via Sturm theory

    • L. Guieu, E. Mourre, V. Yu Ovsienko
    Pages 257-266

  14. The Arf—invariant and the Arnold invariants of plane curves

    • S. M. Gusein-Zade, S. M. Natanzon
    Pages 267-280

  15. Produit cyclique d’espaces et opérations de Steenrod

    • Max Karoubi
    Pages 281-323

  16. Characteristic Classes of Singularity Theory

    • M. É. Kazarian
    Pages 325-340

  17. Value of Generalized Hypergeometric Function at Unity

    • A. Kazarnovski-Krol
    Pages 341-345

  18. Harish-Chandra decomposition for zonal spherical function of type A n

    • A. Kazarnovski-Krol
    Pages 347-359

  19. Positive paths in the linear symplectic group

    • François Lalonde, Dusa McDuff
    Pages 361-387

  20. Invariants of submanifolds in Euclidean space

    • V. D. Sedykh
    Pages 389-395
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Keywords

Editors and Affiliations

  • Ceremade, Université Paris-Dauphine, Paris Cedex 16, France

    V. I. Arnold

  • Department of Mathematics, Rutgers University, New Brunswick, USA

    I. M. Gelfand

  • Department of Mathematics, Harvard University, Cambridge, USA

    V. S. Retakh

  • Department of Mathematics, Columbia University, New York, USA

    M. Smirnov

Bibliographic Information

  • Book Title: The Arnold-Gelfand Mathematical Seminars

  • Editors: V. I. Arnold, I. M. Gelfand, V. S. Retakh, M. Smirnov

  • DOI: https://doi.org/10.1007/978-1-4612-4122-5

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birhäuser Boston 1997

  • Hardcover ISBN: 978-0-8176-3883-2Published: 18 February 1997

  • Softcover ISBN: 978-1-4612-8663-9Published: 26 September 2011

  • eBook ISBN: 978-1-4612-4122-5Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: X, 438

  • Topics: Geometry, Analysis, Topological Groups, Lie Groups, Combinatorics

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