03244nam a2200241 4500495159781470418717ENGUS514514.8 TOPTopology, geometry, integrable systems, and mathematical physicsMNovikov's seminar, 2012-2014S. P. Novikov Seminar (2012-2014 :(Matematicheskiĭ institut im. V.A. Steklova)Providence, Rhode IslandAmerican Mathematical Society[2014]xii, 392 pagesillustrations27 cmAmerican Mathematical Society translationsser. 2, v. 234Algebras of conjugacy classes of partial elements / Andrei V. Alexeevski and Sergey M. Natanzon -- Harmonic spheres in the Hilbert-Schmidt Grassmannian / Iulia Beloshapka and Armen Sergeev -- On uniformly rational varieties / Fedor Bogomolov and Christian Böhning -- IST of KPII equation for perturbed multisoliton solutions / M. Boiti, F. Pempinelli and A.K. Pogrebkov -- Hopf algebras and homology of loop suspensions spaces / Victor Buchstaber and Jelena Grbić -- Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces / Leonid O. Chekhov and Marta Mazzocco -- Pencils of conics and biquadratics, and integrabilty / Vladimir Dragović -- Gromov-Witten invariants and integrable hierarchies of topological type / B. Dubrovin -- On typical leaves of a measured foliated 2-complex of thin type / Ivan Dynnikov and Alexandra Skripchenko -- Volume of a simplex as a multivalued algebraic function of the areas of its two-faces / Alexander A. Gaifullin -- Discrete analogues of Dirac's magnetic monopole and binary polyhedral groups / G.M. Kemp and A.P. Veselov -- Geometric constructions on the algebra of densities / H.M. Khudaverdian and Th. Th. Voronov -- Amoebas, Ronkin function, and Monge-Ampè measures of algebraic curves with marked points / I. Krichever -- The averaging of multi-dimensional Poisson brackets for systems having pseudo-phases / A. Ya. Maltsev -- Periodic and rapid decay rank two self-adjoint commuting differential operators / Andrey E. Mironov -- Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients / O.I. Mokhov -- Classical mechanical systems with one-and-a-half degrees of freedom and Vlasov kinetic equation / Maxim V. Pavlov and Sergey P. Tsarev -- Lax operator algebras of type G₂ / Oleg K. Sheinman - - 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.Novikov, S. P. (Sergeĭ Petrovich)GeometryCongressesTopologyIntegrable systemsBuchstaber, V. M.Dubrovin, Boris A.Krichever, Igor M