Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


Special Issue on Mathematics of Integrable Systems: Classical and Quantum in honor of Leon Takhtajan for his 70th birthday

The Guest Editors for this special issue are

Alexander Its (Indiana University - Purdue University Indianapolis, USA)
Nicolai Reshetikhin (University of California, Berkeley, USA)
Fedor Smirnov (LPTHE, CNRS, University Paris 6, France)


This special issue is devoted to the 70th anniversary of Leon Takhtajan.

The issue will be dedicated to the mathematical aspects of the theory of integrable systems, and the related questions of spectral theory, algebraic geometry, quantum field theory and the theory of quantum groups. In particular, topics for this special issue will include:

  1. Classical integrable systems:

    • hamiltonian aspects of integrable systems and of soliton equations;
    • analytical, asymptotic, and algebraic properties of the solutions of integrable equalions;
    • spectral methods;
    • integrable systems and moduli spaces.

  2. Quantum integrable systems:

    • Bethe ansatz and quantum groups;
    • spectral methods in representation theory;
    • integrable models in quantum field theory and statistical mechanics;
    • Frobenius manifolds and quantum cohomology.

There is no limit to the length of an article. Deadline for paper submission is May 31, 2021.

How to Submit an Article to the Issue.

All articles will go through the standard peer reviewing procedure of SIGMA.

If you have your paper ready earlier than the deadline, we encourage you to send it now. The reviewing process starts once the paper is submitted and we will publish the paper as soon as the positive publication decision is made. The paper will be indexed in the relevant databases as soon as it is published without waiting for completion of the special issue.


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