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The Gelfand Mathematical Seminars, 1993–1995

  • Conference proceedings
  • © 1996

Overview

Editors:
  1. Israel M. Gelfand

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

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  2. James Lepowsky

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

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  3. Mikhail M. Smirnov

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

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Table of contents (13 papers)

  1. Front Matter

    Pages i-vi
    Download chapter PDF

  2. Questions and Answers About Geometric Evolution Processes and Crystal Growth

    • Fred Almgren
    Pages 1-9

  3. Remarks on the Extatic Points of Plane Curves

    • V. I. Arnold
    Pages 11-22

  4. Gibbs Measures and Quasi-Periodic Solutions for Nonlinear Hamiltonian Partial Differential Equations

    • Jean Bourgain
    Pages 23-43

  5. Radon Transform and Functionals on the Spaces of Curves

    • Jean-Luc Brylinski
    Pages 45-73

  6. A Unified Method for Solving Linear and Nonlinear Evolution Equations and an Application to Integrable Surfaces

    • A. S. Fokas, I. M. Gelfand
    Pages 75-92

  7. Noncommutative Vieta Theorem and Symmetric Functions

    • Israel Gelfand, Vladimir Retakh
    Pages 93-100

  8. Chern-Simons Classes and Cocycles on the Lie Algebra of the Gauge Group

    • I. M. Gelfand, M. M. Smirnov
    Pages 101-122

  9. Cycles for Asymptotic Solutions and the Weyl Group

    • A. Kazarnovski Krol
    Pages 123-150

  10. Homology of Moduli of Curves and Commutative Homotopy Algebras

    • Takashi Kimura, Jim Stasheff, Alexander Voronov
    Pages 151-170

  11. Canonical States on the Group of Automorphisms of a Homogeneous Tree

    • G. Kuhn, A. Vershik
    Pages 171-178

  12. Second Quantization of the Wilson Loop

    • A. A. Migdal
    Pages 179-224

  13. The Homogeneous Complex Monge-Ampère Equation and the Infinite Dimensional Versions of Classic Symmetric Spaces

    • Stephen Semmes
    Pages 225-242

  14. Novikov Inequalities for Vector Fields

    • Mikhail Shubin
    Pages 243-274
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Keywords

About this book

The Seminar has taken place at Rutgers University in New Brunswick, New Jersey, since 1990 and it has become a tradition, starting in 1992, that the Seminar be held during July at IHES in Bures-sur-Yvette, France. This is the second Gelfand Seminar volume published by Birkhauser, the first having covered the years 1990-1992. Most of the papers in this volume result from Seminar talks at Rutgers, and some from talks at IHES. In the case of a few of the papers the authors did not attend, but the papers are in the spirit of the Seminar. This is true in particular of V. Arnold's paper. He has been connected with the Seminar for so many years that his paper is very natural in this volume, and we are happy to have it included here. We hope that many people will find something of interest to them in the special diversity of topics and the uniqueness of spirit represented here. The publication of this volume would be impossible without the devoted attention of Ann Kostant. We are extremely grateful to her. I. Gelfand J. Lepowsky M. Smirnov Questions and Answers About Geometric Evolution Processes and Crystal Growth Fred Almgren We discuss evolutions of solids driven by boundary curvatures and crystal growth with Gibbs-Thomson curvature effects. Geometric measure theo­ retic techniques apply both to smooth elliptic surface energies and to non­ differentiable crystalline surface energies.

Editors and Affiliations

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

    Israel M. Gelfand, James Lepowsky

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

    Mikhail M. Smirnov

Bibliographic Information

  • Book Title: The Gelfand Mathematical Seminars, 1993–1995

  • Editors: Israel M. Gelfand, James Lepowsky, Mikhail M. Smirnov

  • DOI: https://doi.org/10.1007/978-1-4612-4082-2

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1996

  • Hardcover ISBN: 978-0-8176-3816-0Published: 01 June 1996

  • Softcover ISBN: 978-1-4612-8643-1Published: 04 February 2012

  • eBook ISBN: 978-1-4612-4082-2Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VI, 274

  • Topics: Geometry, Topology

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