We discuss the quasiclassical geometry and integrable systems related to the
gauge/string duality. The analysis of quasiclassical solutions to the Bethe
anzatz equations arising in the context of the AdS/CFT correspondence is
performed, compare to stationary phase equations for the matrix integrals. We
demonstrate how the underlying geometry is related to the integrable
sigma-models of dual string theory, and investigate some details of this
correspondence.Comment: Based on talks at the conferences "Classical and quantum integrable
systems", January 2004, Dubna, and "Quarks-2004", May 2004, Pushkinskie Gory,
Russia; LaTeX, 17 pp, 3 figures; references adde
