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Steklov Mathematical Institute Seminar
May 22, 2008 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Discrete completely integrable systems and complex analysis

S. P. Novikov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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Flash Video 342.3 Mb
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S. P. Novikov
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Abstract: A lot of works were written in the last decade about discretization of Completely Integrable Systems preserving its fundamental properties. Our approach is based on the idea that the key elementary algebraic property leading to the famous KdV type complete integrability is factorization of linear operators. Indeed, this property plays also a key role in the great success of Complex Analysis. We developed a new approach to discretization of Complex Analysis based on these ideas (in collaboration with I. Dynnikov, P. Grinevich and R. Novikov).

Materials: v167.pdf (3.9 Mb)

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