
Stateoftheart of classical separability theory for differential equations January
6  11, 2004
Department of Mathematics, Linköping University (Sweden) web
page: http://www.itn.liu.se/~krzma/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/~krzma/SEPARABILITY/workshop/workshop.html


Organizers 
Scientific
Committee 
• S.Benenti 

• E.Kalnins


• W.Miller 

• F.Magri 

• E.Sklyanin 

• P.Winternitz 
Alphabetical list of talks with abstracts and addresses
Some photos from the conference: 1, 2, 3, 4, 5, 6, 7, 8, 9
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 HamiltonJacobi 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
2025 minute contributed talks.
Last modified: October 17, 20018