Matrix Models , Complex Geometry and Integrable Systems . II ∗

We consider certain examples of applications of the general methods, based on geometry and in-tegrability of matrix models, described in [1]. In particular, the nonlinear differential equations, satisfied by quasiclassical tau-functions are investigated. We also discuss a similar quasiclassical geometric picture, arising in the context of multidimensional supersymmetric gauge theories and the AdS/CFT correspondence.