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State-of-the-art of classical separability theory for differential equations

 

January 6 - 11, 2004

 

Department of Mathematics, Linköping University (Sweden)

 

web page: http://www.itn.liu.se/~krzma52/SEPARABILITY/konf.html

 

This conference will be followed by a less formal workshop on separability theory for differential equations. See the following link for details:

     

http://www.itn.liu.se/~krzma52/SEPARABILITY/workshop/workshop.html

 

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Organizers

Scientific Committee

• S. Rauch-Wojciechowski

• S.Benenti

• K. Marciniak

• E.Kalnins 

• H. Lundmark

• W.Miller

• C. Waksjö

• F.Magri

• E.Sklyanin

• P.Winternitz

 

Conference program

 

Alphabetical list of talks with abstracts and addresses

 

Some photos from the conference: 1, 2, 3, 4, 5, 6, 7, 8, 9

 

The scope of the conference

 

This is a topical conference dedicated specifically to the method of separation of variables in ordinary and partial differential equations. This method started with works of J.B.J. Fourier and C.G. Jacobi and has been the most successful way of solving linear and nonlinear equations of mathematical physics throughout two centuries. It has been a constant source of innovation in mathematics. Fourier series, orthogonal polynomials, special functions, Fuchs equations with regular singular points are examples of areas of mathematics which stem from the method of separation of variables.

 

Despite great success of the method of separation of variables in solving equations of mathematical physics there is no unique definition of separability. Its precise formulation depends on the context, on type of equations and on the mathematical language used for describing properties of equations. In classical mechanics orthogonal (Stäckel) separability of the Hamilton-Jacobi equation became a well established standard and attained some level of maturity but even there we see many new openings now.

                 

The aim of the conference is to bring together mathematicians working in this field to discuss together the present state of the theory and further directions of research. Review lectures will be given by several outstanding mathematicians working in the field.

 

The conference consisted of several 50 minute review lectures and limited number of 20-25 minute contributed talks.

 

Last modified: October 17, 20018