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VOLUME 101 (2015) | ISSUE 9 | PAGE 724
Classical integrable systems and Knizhnik-Zamolodchikov-Bernard equations
Abstract
This paper is a short review of results obtained as part of The Russian Foundation for Basic Research project 12-02-00594. We mainly focus on interrelations between classical integrable systems, Painlevé-Schlesinger equations and related algebraic structures such as classical and quantum R-matrices. The constructions are explained in terms of simplest examples.