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Constructive Methods of the Theory of Riemann Surfaces and Applications
(November 13–17, 2023, Sirius University, Sirius)
The topic of the conference is the effective use of function theory on Riemann surfaces and their families in specific applications. The theory of Riemann surfaces today is located at the intersection of several mathematical disciplines: complex analysis, topology, geometry (algebraic, complex and hyperbolic) and number theory. Despite its venerable age this subject area continues to develop rapidly which can be explained by its numerous applications. These applications appear in the most unexpected places, including mathematics itself, classical mechanics, theoretical physics, engineering, cryptography. Our goal is to bring together experts in the theory of Riemann surfaces and the theory of moduli spaces with specialists in scientific computing. The exchange of knowledge should inform geometers about the possibilities of modern computing and numerical analysts about current problems in the theory of Riemann surfaces that are available for experimental study.
 Organizers
Bogatyrev Andrei Borisovich
Grinevich Petr Georgievich |
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| Constructive Methods of the Theory of Riemann Surfaces and Applications, Sirius, November 13–17, 2023 |
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November 13, 2023 (Mon) |
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| 1. |
Optimal synthesis of electrical filters and Riemann surfaces
A. B. Bogatyrev
November 13, 2023 10:00–11:00, Sirius, Sirius University
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| 2. |
Almost degenerate Riemann surfaces in the theory of anomalous (rogue) waves
P. G. Grinevich
November 13, 2023 11:00–11:45, Sirius, Sirius University
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| 3. |
Periodic anomalous (rogue) waves in the Ablowitz- Ladik lattice and in the 2 + 1 dimensional Davey-Stewartson 2 equation
P. M. Santini
November 13, 2023 12:00–13:00, Sirius, online
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| 4. |
Piecewise-euclidean structures on Riemann surfaces
G. B. Shabat
November 13, 2023 13:00–13:45, Sirius, Sirius University
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| 5. |
Moduli spaces of n-punctured rational curves and their compactifications
G. Yu. Panina
November 13, 2023 15:00–15:45, Sirius, Sirius University
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| 6. |
Summation of Poincaré theta series in the Schottky model
S. Yu. Lyamaev
November 13, 2023 15:45–16:30, Sirius, Sirius University
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A Landen-Type Method for Computation of Weierstrass Functions
M. S. Smirnov
November 13, 2023 16:45–17:30, Sirius, Sirius University
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| 8. |
Explicit formulas for differentiation of hyperelliptic functions, multidimensional sigma functions and applications
E. Yu. Bunkova
November 13, 2023 17:30–18:15, Sirius, Sirius University
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November 14, 2023 (Tue) |
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| 9. |
Computational approach to the Schottky problem
Ch. Klein
November 14, 2023 10:00–11:00, Sirius, online
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| 10. |
KP-2 solitons, geometric relations on plabic graphs and totally non-negative Grassmannians
S. Abenda
November 14, 2023 11:00–11:45, Sirius, online
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| 11. |
Riemann surfaces, rational functions and difference operators
A. E. Mironov
November 14, 2023 12:00–13:00, Sirius, Sirius University
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| 12. |
Riemann Surfaces to their Algebraic Equations
T. O. Celik
November 14, 2023 13:00–14:00, Sirius, online
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| 13. |
The category of Riemann surfaces and its representations
Yu. A. Neretin
November 14, 2023 15:00–15:45, Sirius, online
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| 14. |
On effective solution to the Hitchin systems
O. K. Sheinman
November 14, 2023 15:45–16:30, Sirius, Sirius University
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| 15. |
Algebraic geometry approach to constructing metrics of diagonal curvature, orthogonal nets and semi-Hamiltonian systems of hydrodynamic type
O. I. Mokhov
November 14, 2023 16:45–17:30, Sirius, Sirius University
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| 16. |
Two-parametric families of Riemann surfaces and their degenerations
M. V. Pavlov
November 14, 2023 17:30–18:15, Sirius, Sirius University
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November 16, 2023 (Thu) |
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| 17. |
Flat cone metric space in terms of Schwarz-Christoffel maps
S. Tanabé
November 16, 2023 10:00–11:00, Sirius, online
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Fuchsian equations and reduction of the Abelian differentials
A. O. Smirnov
November 16, 2023 11:00–11:45, Sirius, Sirius University
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| 19. |
Constructing solutions of a triangular Schlesinger system via periods of meromorphic differentials on Riemann surfaces
R. R. Gontsov
November 16, 2023 12:00–12:45, Sirius, Sirius University
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| 20. |
Semistable bundles on Riemann surfaces and isomonodromic deformations
I. V. Vyugin
November 16, 2023 12:45–13:30, Sirius, Sirius University
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| 21. |
Holomorphic mapping of hyperelliptic Riemann surfaces and their generalization
A. D. Mednykh
November 16, 2023 14:45–15:30, Sirius, Sirius University
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| 22. |
Opening cuts for rational mappings
V. G. Lysov
November 16, 2023 15:30–16:15, Sirius, Sirius University
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| 23. |
The structure of the space of solvable Pell-Abel equations
Q. Gendron
November 16, 2023 16:30–17:15, Sirius, online
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| 24. |
Isoperiodic foliation on the space of meromorphic real- normalized differentials
M. S. Nenasheva
November 16, 2023 17:15–18:00, Sirius, Sirius University
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November 17, 2023 (Fri) |
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| 25. |
Applications of Riemann surfaces
A. B. Bogatyrev
November 17, 2023 10:00–11:00, Sirius, Sirius University
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| 26. |
Computational methods for Riemann surfaces
A. B. Bogatyrev
November 17, 2023 11:00–12:00, Sirius, Sirius University
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| 27. |
Introduction to Theta functions, I
G. B. Shabat
November 17, 2023 12:15–13:15, Sirius, Sirius University
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| 28. |
Introduction to Theta functions, II
G. B. Shabat
November 17, 2023 13:15–14:15, Sirius, Sirius University
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| 29. |
Round Table «Open Problems discussion»
November 17, 2023 15:15–17:00, Sirius, Sirius University
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| 30. |
Poster session and Closing
November 17, 2023 17:30–18:00, Sirius, Sirius University
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