complex curves, Duality and Many-Body like Systems, Elliptic Algebras and Elliptic Integrable Systems, Separation of Variables and Commuting Families, Beauville-Mukai systems, nearly-Geostrophic models and geometry. Non-local hamiltonian structures.
A. Kushner, V. Lychagin, V. Rubtsov, Non-Linear differential equations and contact geometry, Camb. Univ. Press, 2006.
B. Enriquez, V. Rubtsov,
Quantizations of the Hitchin and Beauville-Mukai integrable systems. Mosc. Math. J. 5 (2005), no. 2, 329–370, 493.
B. Enriquez, V. Rubtsov, Commuting families in skew fields and quantization of Beauvilles fibration. Duke Math. J. 119 (2003), no. 2, 197–219.
A. Gorsky, N. Nekrasov, V. Rubtsov, Hilbert schemes, separated variables, and D-branes. Comm. Math. Phys. 222 (2001), no. 2, 299–318.
B. Enriquez, V. Rubtsov, Quasi-Hopf algebras associated with $\germ{sl}\sb 2$ and complex curves. Israel J. Math. 112 (1999), 61–108.
B. Enriquez, V. Rubtsov, Hitchin systems, higher Gaudin operators and $R$-matrices. Math. Res. Lett. 3 (1996), no. 3, 343–357.
B. Enriquez, V. Rubtsov, A. Orlov, Higher Hamiltonian structures (the ${\rm sl}\sb 2$ case). JETP Lett. 58 (1993), no. 8, 658–664.
V. Rubtsov, Topological invariants of elliptic Spencer complexes of Lie equations. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1992, no. 5, 74–92.
S. Khoroshkin, A. Radul, V. Rubtsov, A family of Poisson structures on Hermitian symmetric spaces. Comm. Math. Phys. 152 (1993), no. 2, 299–315.
V. Roubtsov, I. Roulstone, Holomorphic structures in hydrodynamical models of nearly geostrophic flow. R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 457 (2001), no. 2010, 1519–1531.
Leonid Chekhov, Marta Mazzocco, Vladimir Rubtsov, “Quantised Painlevé monodromy manifolds, Sklyanin and Calabi–Yau algebras”, Adv. Math., 376 (2021), 107442–52
J.-P. Magnot, V. N. Rubtsov, “On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators”, TMF, 207:3 (2021), 458–488; Theoret. and Math. Phys., 207:3 (2021), 799–826
Leonid O. Chekhov, Marta Mazzocco, Vladimir N. Rubtsov, “Painlevé monodromy manifolds, decorated character varieties, and cluster algebras”, Int. Math. Res. Not. IMRN, 2017:24 (2017), 7639–7691
A. V. Odesskii, V. N. Rubtsov, V. V. Sokolov, “Bi-Hamiltonian ordinary differential equations with matrix variables”, TMF, 171:1 (2012), 26–32; Theoret. and Math. Phys., 171:1 (2012), 442–447
U. Bruzzo, V. N. Rubtsov, “Cohomology of skew-holomorphic Lie algebroids”, TMF, 165:3 (2010), 426–439; Theoret. and Math. Phys., 165:3 (2010), 1598–1609
U. Bruzzo, L. Cirio, P. Rossi, V. N. Rubtsov, “Equivariant Cohomology and Localization for Lie Algebroids”, Funktsional. Anal. i Prilozhen., 43:1 (2009), 22–36; Funct. Anal. Appl., 43:1 (2009), 18–29
Vladimir Rubtsov, Alexey Silantyev, Dmitri Talalaev, “Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model”, SIGMA, 5 (2009), 110, 22 pp.
Nikolai Iorgov, Vladimir Roubtsov, Vitaly Shadura, Yuri Tykhyy, “Relativistic Toda Chain with Boundary Interaction at Root of Unity”, SIGMA, 3 (2007), 013, 14 pp.
A. V. Odesskii, V. N. Rubtsov, “Polynomial Poisson Algebras with Regular Structure of Symplectic Leaves”, TMF, 133:1 (2002), 3–23; Theoret. and Math. Phys., 133:1 (2002), 1321–1337
D. I. Gurevich, V. N. Rubtsov, “Quantization of Poisson pencils and generalized Lie algebras”, TMF, 103:3 (1995), 476–488; Theoret. and Math. Phys., 103:3 (1995), 713–722
12.
A. S. Gorsky, A. V. Marshakov, A. Yu. Orlov, V. N. Rubtsov, “On third Poisson structure of KdV equation”, TMF, 103:3 (1995), 461–466; Theoret. and Math. Phys., 103:3 (1995), 701–705
D. I. Gurevich, V. V. Lychagin, V. N. Rubtsov, “Nonholonomic filtration of cohomologies of Lie algebras and “large brackets””, Mat. Zametki, 52:1 (1992), 36–41; Math. Notes, 52:1 (1992), 657–661
15.
D. Gurevich, A. Radul, V. Rubzov, “Non-commutative differential geometry related to the Yang–Baxter equation”, Zap. Nauchn. Sem. POMI, 199 (1992), 51–70; J. Math. Sci., 77:2 (1995), 3051–3062
V. V. Lychagin, V. N. Rubtsov, “Topological indices of spencer complexes associated with geometric structures”, Mat. Zametki, 45:4 (1989), 59–68; Math. Notes, 45:4 (1989), 305–312
1983
17.
V. V. Lychagin, V. N. Rubtsov, “Local classification of Monge–Ampère differential equations”, Dokl. Akad. Nauk SSSR, 272:1 (1983), 34–38
V. N. Rubtsov, “Relatively-invariant Der-cohomology of modules”, Uspekhi Mat. Nauk, 38:1(229) (1983), 189–190; Russian Math. Surveys, 38:1 (1983), 215–216
1980
19.
V. N. Rubtsov, “The cohomology of the $\operatorname{Der}$-complex”, Uspekhi Mat. Nauk, 35:4(214) (1980), 209–210; Russian Math. Surveys, 35:4 (1980), 190–191
A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Uspekhi Mat. Nauk, 75:2(452) (2020), 185–190; Russian Math. Surveys, 75:2 (2020), 369–375
Few very personal memoirs about meetings with Andrei Vladimir Roubtsov International Conference "Analytic Theory of Differential and Difference Equations" Dedicated to the Memory of Andrey Bolibrukh January 30, 2021 17:00
Contact us: