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Seminar by A. V. Zotov, M. G. Matushko and R. A. Potapov "Methods of classical and quantum integrable systems"
(February 12–December 17, 2025, Steklov Mathematical Institute, Room 303 (8 Gubkina))
We kindly ask all participants, including remote ones and those
watching recorded videos, to register at this link.
This two-semester student research seminar is devoted to methods and applications of the theory of integrable systems. The program includes both the study of theoretical foundations and the exploration of contemporary problems.
Program
- Integrable systems of classical mechanics (Lax representations, r-matrix structures, separation of variables, group-theoretic approach).
- Exactly solvable quantum models of statistical physics (quantum chains, quantum algebras, Bethe ansatz).
- Soliton equations and integrable hierarchies (inverse scattering method, tau functions, Hirota equations).
- Algebraic-geometric description of integrable systems and isomonodromic deformations (moduli spaces of curves and fiber bundles, spectral curves, Painlevé equations).
- Dualities in integrable systems and their relationship to conformal and gauge theories.
 Seminar organizers
Matushko Mariya Georgievna
Potapov Rostislav Aleksandrovich
Zotov Andrei Vladimirovich
Financial support
The seminar is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, agreement no. 075-15-2025-303).
Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center |
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| Seminar by A. V. Zotov, M. G. Matushko and R. A. Potapov "Methods of classical and quantum integrable systems", February 12–December 17, 2025 |
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December 17, 2025 (Wed) |
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| 1. |
Seminar 25. Methods of classical and quantum integrable systems
R. A. Potapov
December 17, 2025 18:30, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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December 10, 2025 (Wed) |
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| 2. |
Seminar 24. Methods of classical and quantum integrable systems
D. A. Domanevsky
December 10, 2025 18:30, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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November 26, 2025 (Wed) |
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| 3. |
Seminar 23. Methods of classical and quantum integrable systems
D. A. Domanevsky
November 26, 2025 18:30, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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November 12, 2025 (Wed) |
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Seminar 22. Methods of classical and quantum integrable systems
A. M. Mostovskii
November 12, 2025 18:30, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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November 5, 2025 (Wed) |
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Seminar 21. Methods of classical and quantum integrable systems
Fedor Ushakov
November 5, 2025 18:30, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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October 29, 2025 (Wed) |
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Seminar 20. Methods of classical and quantum integrable systems
Fedor Ushakov
October 29, 2025 18:30, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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October 22, 2025 (Wed) |
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Seminar 19. Methods of classical and quantum integrable systems
A. M. Mostovskii
October 22, 2025 18:30, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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October 15, 2025 (Wed) |
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Seminar 18. Methods of classical and quantum integrable systems
D. A. Domanevsky
October 15, 2025 18:30, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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October 1, 2025 (Wed) |
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| 9. |
Seminar 17. Methods of classical and quantum integrable systems
D. A. Domanevsky
October 1, 2025 18:30, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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September 24, 2025 (Wed) |
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| 10. |
Seminar 16. Methods of classical and quantum integrable systems
R. A. Potapov
September 24, 2025 18:30, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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September 17, 2025 (Wed) |
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| 11. |
Seminar 15. Methods of classical and quantum integrable systems
R. A. Potapov
September 17, 2025 18:30, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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May 28, 2025 (Wed) |
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| 12. |
Seminar 14. Methods of classical and quantum integrable systems
D. Murinov
May 28, 2025 16:20, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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May 21, 2025 (Wed) |
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| 13. |
Seminar 13. Methods of classical and quantum integrable systems
D. Murinov
May 21, 2025 16:20, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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May 14, 2025 (Wed) |
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| 14. |
Seminar 12. Methods of classical and quantum integrable systems
R. A. Potapov
May 14, 2025 16:20, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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April 30, 2025 (Wed) |
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| 15. |
Seminar 11. Methods of classical and quantum integrable systems
R. A. Potapov
April 30, 2025 16:20, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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April 23, 2025 (Wed) |
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| 16. |
Seminar 10. Methods of classical and quantum integrable systems
A. M. Mostovskii
April 23, 2025 16:20, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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April 16, 2025 (Wed) |
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| 17. |
Seminar 9. Methods of classical and quantum integrable systems
D. A. Domanevsky
April 16, 2025 16:20, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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April 9, 2025 (Wed) |
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| 18. |
Seminar 8. Methods of classical and quantum integrable systems
D. A. Domanevsky
April 9, 2025 16:20, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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March 26, 2025 (Wed) |
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| 19. |
Seminar 7. Methods of classical and quantum integrable systems
A. M. Mostovskii
March 26, 2025 16:20, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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March 19, 2025 (Wed) |
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| 20. |
Seminar 6. Methods of classical and quantum integrable systems
A. M. Mostovskii
March 19, 2025 16:20, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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March 12, 2025 (Wed) |
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| 21. |
Seminar 5. Methods of classical and quantum integrable systems
M. G. Matushko
March 12, 2025 16:20, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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March 5, 2025 (Wed) |
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| 22. |
Seminar 4. Methods of classical and quantum integrable systems
R. A. Potapov
March 5, 2025 16:20, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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February 26, 2025 (Wed) |
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| 23. |
Seminar 3. Methods of classical and quantum integrable systems
R. A. Potapov
February 26, 2025 17:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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February 19, 2025 (Wed) |
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| 24. |
Seminar 2. Methods of classical and quantum integrable systems
R. A. Potapov
February 19, 2025 17:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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February 12, 2025 (Wed) |
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| 25. |
Seminar 1. Methods of classical and quantum integrable systems
R. A. Potapov
February 12, 2025 17:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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