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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:
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.
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.
Papers in this Issue:
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Second-Order Differential Operators in the Limit Circle Case
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Dmitri R. Yafaev
SIGMA 17 (2021), 077, 13 pages [ abs
pdf ]
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Completeness of SoV Representation for $\mathrm{SL}(2,\mathbb R)$ Spin Chains
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Sergey É. Derkachov, Karol K. Kozlowski and Alexander N. Manashov
SIGMA 17 (2021), 063, 26 pages [ abs
pdf ]
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Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model
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Vladimir V. Bazhanov, Gleb A. Kotousov, Sergii M. Koval and Sergei L. Lukyanov
SIGMA 17 (2021), 025, 29 pages [ abs
pdf ]
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