Over the last 30 years the modern theory of integrable systems
has proved to be a remarkably effective conduit for transferring
models and ideas from physics and applied mathematics to pure
mathematics and vice versa.
This has been especially
true recently as evidenced by the exciting developments
in inverse spectral theory, geometry of field theories,
statistical mechanics, dynamical systems, coherent structures
in nonlinear phenomena, and weak turbulence. The integration
of new methods from integrable systems theory into each of
these disciplines has been rapid even in those areas where
it has had a traditional presence.
We feel it would be
beneficial to gain a broader perspective on the use of
integrable systems theory across these disciplines;
to examine parallel developments as well as ways in which
ideas from one field could be used in another.
We propose
therefore to hold a workshop that will bring together
researchers who are at the heart of these developments to
address issues that transcend their specific disciplines.
Talks will emphasize ways in which ideas and methods from
integrable systems theory will be relevant to mainstream
developments in mathematics and science. These are all areas
in which Zakharov's work has been seminal.
|
