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Rôle of integrable models in the development of mathematics

Part of the Lecture Notes in Mathematics book series (LNM,volume 1525)

Abstract

The history of mathematics and theoretical physics shows that the starting ideas of the best mathematical methods were discovered in the process of solving integrable models.

Mathematical discoveries of the last twenty years will be especially discussed as by-products of the famous integrable systems of the soliton and quantum theories.

Keywords

  • Riemann Surface
  • Hopf Algebra
  • Quantum Group
  • Inverse Scattering
  • Hide Symmetry

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Fields Medal 1970 for his important advances in topology, the best known being his proof of the topological invariance of the Pontrijagin classes of a differentiable manifold. His work included a study of the cohomology and homotopy of Thom spaces.

Prepared from the author's text and the videotape of the talk, by Regina Martínez.

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© 1992 Springer-Verlag

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Novikov, S. (1992). Rôle of integrable models in the development of mathematics. In: Casacuberta, C., Castellet, M. (eds) Mathematical Research Today and Tomorrow. Lecture Notes in Mathematics, vol 1525. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089202

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  • DOI: https://doi.org/10.1007/BFb0089202

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56011-1

  • Online ISBN: 978-3-540-47341-1

  • eBook Packages: Springer Book Archive