The papers in this collection grew out of talks recently presented at S. P. Novikov's seminar on topology and mathematical physics in Moscow. They are devoted to various problems in the theory of completely integrable systems and relations to topology, algebra, and mathematical physics.

Readership

Researchers and graduate students working in the corresponding areas of mathematics.

Table of Contents

• V. M. Buchstaber and S. P. Novikov -- The S. P. Novikov seminar
• V. M. Buchstaber -- Semigroups of maps into groups, operator doubles, and complex cobordisms
• E. V. Ferapontov -- Nonlocal Hamiltonian operators of hydrodynamic type: Differential geometry and applications
• P. G. Grinevich and S. P. Novikov -- Nonselfintersecting magnetic orbits on the plane. Proof of the overthrowing of cycles principle
• I. Krichever, O. Babelon, E. Billey, and M. Talon -- Spin generalization of the Calogero-Moser system and the matrix KP equation
• O. Mokhov -- Symplectic and Poisson geometry on loop spaces of manifolds and nonlinear equations
• S. M. Natanzon -- Real nonsingular finite zone solutions of soliton equations
• O. K. Sheinman -- Representations of Krichever-Novikov algebras
• A. P. Veselov -- Huygens' principle and algebraic Schrödinger operators