SCIENTIFIC SUMMARIES

Classical integrable systems and Knizhnik–Zamolodchikov–Bernard equations

G. Aminov^ab, A. Levin^ac, M. Olshanetsky^ab, A. Zotov<sup>dab

a</sup> Institute of Theoretical and Experimental Physics, 117218 Moscow, Russia
^b Moscow Institute of Physics and Technology (State University), 141700 Dolgoprudny, Russia
^c Department of Mathematics, National Research University Higher School of Economics, 101000 Moscow, Russia
^d Steklov Mathematical Institute of the RAS, 119991 Moscow, Russia

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.

Received: 06.04.2015

Language: English

DOI: 10.7868/S0370274X15090131

 English version: Journal of Experimental and Theoretical Physics Letters, 2015, 101:9, 648–655

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