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We review a recently developed formalism for computing thermoelectriccoefficients in correlated matter. The usual difficulties of such a calculationare circumvented by a careful generalization the transport formalism to finitefrequencies, from which one can extract the high frequency objects. Thetechnical parallel between the Hall constant and the Seebeck coefficient isexplored and used to advantage. For small clusters, exact diagonalization givesthe full spectrum for the Hubbard and especially the $t$-$J$ model, aprototypical model for strong correlations, and this spectrum can be used tocompute the exact finite frequency transport coefficients and hence tobenchmark various approximations.  An application of this formalism to the physically important case of sodiumcobaltate $Na_xCoO_2$ is made, and interesting predictions for new materialsare highlighted.

Electro Thermal Transport Coefficients at Finite Frequencies