Articles in this collection are devoted to modern problems of topology, geometry, mathematical physics, and integrable systems, and they are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 2012-2014. The articles cover many aspects of seemingly unrelated areas of modern mathematics and mathematical physics; they reflect the main scientific interests of the organizer of the seminar, Sergey Petrovich Novikov. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.
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Höhe: 254 mm
Breite: 178 mm
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ISBN-13
978-1-4704-1871-7 (9781470418717)
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Schweitzer Klassifikation
V. M. Buchstaber, Steklov Institute of Mathematics, Moscow, Russia.
B. A. Dubrovin, SISSA, Trieste, Italy.
I. M. Krichever, Columbia University, New York, NY, USA.
Algebras of conjugacy classes of partial elements by A. V. Alexeevski and S. M. Natanzon
Harmonic spheres in the Hilbert-Schmidt Grassmannian by I. Beloshapka and A. Sergeev
On uniformly rational varieties by F. Bogomolov and C. Bohning
IST of KPII equation for perturbed multisoliton solutions by M. Boiti, F. Pempinelli, and A. K. Pogrebkov
Hopf algebras and homology of loop suspension spaces by V. Buchstaber and J. Grbic
Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces by L. O. Chekhov and M. Mazzocco
Pencils of conics and biquadratics, and integrability by V. Dragovic
Gromov-Witten invariants and integrable hierarchies of topological type by B. Dubrovin
On typical leaves of a measured foliated 2-complex of thin type by I. Dynnikov and A. Skripchenko
Volume of a simplex as a multivalued algebraic function of the areas of its two-faces by A. A. Gaifullin
Discrete analogues of Dirac's magnetic monopole and binary polyhedral groups by G. M. Kemp and A. P. Veselov
Geometric constructions on the algebra of densities by H. M. Khudaverdian and Th. Th. Voronov
Amoebas, Ronkin function and Monge-Ampere measures of algebraic curves with marked points by I. Krichever
The averaging of multi-dimensional Poisson brackets for systems having pseudo-phases by A. Ya. Maltsev
Periodic and rapid decay rank two self-adjoint commuting differential operators by A. E. Mironov
Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients by O. I. Mokhov
Classical mechanical systems with one-and-a-half degrees of freedom and Vlasov kinetic equation by M. V. Pavlov and S. P. Tsarev
Lax operator algebras of type G2 by O. K. Sheinman