The last five years have seen significant progress in applying the methods of integrable systems to the cutting-edge problems of statistical physics. Remarkably, quite similar mathematical ideas have surfaced in different fields of theoretical physics such as the exact theory of nonlinear replica sigma models in the random-matrix-theory (RMT) limit, non-equilibrium dynamics of quantum systems, integrable theory of universal quantum transport in chaotic structures, various models of growth processes, and more.

The purpose of this workshop is to bring together active researchers from several field of mathematical and theoretical physics where the integrability constitutes either a central paradigm or an important calculational tool. Not less importantly, we also wish to encourage a dialogue between experienced practitioners of the theory of integrable hierarchies and the physicists of seemingly far-apart disciplines whose research may potentially benefit from the fruitful ideas of integrability.

The workshop topics include (but not restricted to) (i) Mathematical theory of integrability for physicists; (ii) Integrability of replica field theories in the RMT limit; (iii) Nonhermitean random matrices, growth processes and integrable systems; (iv) Heuristic replica applications in RMT and beyond; (v) Novel field-theoretic approaches in RMT and mesoscopics.