Workshop on

Mathematical Methods of Regular Dynamics

dedicated to the 150th anniversary of Sophie Kowalevski

School of Mathematics
Department of Applied Mathematics
University of Leeds
Leeds, UK

12-15 April, 2000

Say what you know, do what you must, come what may.
Motto on Kowalevski's paper - On the problem of the rotation of a solid body about a fixed point

The workshop is a satellite meeting of the British Mathematical Colloquium. It is supported by a Conference grant from the London Mathematical Society and partially supported by the Royal Society, by the Russian Foundation of Basic Research (RFFI) and by the Mathematical Physics Group of the Institute of Physics.

It is part of the Workshop and Seminar programme of the Integrable Systems Group in Leeds.

Organisers:

Allan Fordy (Leeds), allan@amsta.leeds.ac.uk
Vadim Kuznetsov (Leeds), vadim@amsta.leeds.ac.uk
Michael Semenov-Tian-Shansky (Dijon), semenov@satie.u-bourgogne.fr

This Workshop is dedicated to the 150th anniversary of Sophie Kowalevski, great mathematician who laid a basis for and developed many methods used in the theory of partial differential equations (Cauchy-Kowalevski theorem) and in the modern theory of integrable systems (for instance, Kowalevski-Painlevé property, integration in quadratures and many aspects of algebraic geometry). She is most known for her work on the Kowalevski top, a new integrable case of the problem of rotation of a solid body about a fixed point. This integrable case was first found by her by the method now known as the Kowalevski-Painlevé property, and then also integrated, reducing the problem to the inversion of hyperelliptic integrals.

The object of this Workshop is to bring together researchers working in algebraic geometry, integrable systems and algebraic origins of integrability to discuss most recent results in these areas and to stimulate cooperation.

The main subject of the Workshop will be classical and quantum integrability. Workshop scope, in particular, includes such topics as spinning tops, Calogero-Moser systems, Toda lattices, spin chains, random matrices, integrable maps, methods of Separation of Variables, Bäcklund transformations and Q-operators. The Workshop will be of interest to those using methods of Algebra, Analysis and Geometry in various problems of regular dynamics.

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Allan Fordy
Vadim Kuznetsov


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