Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012-2014

ISBN-13: 9781470418717 / Angielski

V. M. Buchstaber;B. A. Dubrovin;I. M. Krichever

Opis

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.

Spis treści

• 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