Integrability and matrix models

Abstract

The theory of matrix models is reviewed from the point of view of its\nrelation to integrable hierarchies. Discrete 1-matrix, 2-matrix, ``conformal''\n(multicomponent) and Kontsevich models are considered in some detail, together\nwith the Ward identites (``W-constraints''), determinantal formulas and\ncontinuum limits, taking one kind of models into another. Subtle points and\ndirections of the future research are also discussed.\n