Optical Conductivity and Correlated Electron Physics A. J. Millis Department of Physics Columbia University 538 W 120 St, NY NY 10027 The uses of optical conductivity in elucidating the physics of correlated electron systems are outlined. The low energy version of the f-sum rule is derived and its limitations are discussed. The importance of the CMR manganites as a model system is explained. Errors in previous work of the authors are corrected. Additional applications to double perovskites and to the c-axis conductivity of high Tc superconductors and other materials are presented.