Dieter Vollhardt (University of Augsburg, Germany)
Solving correlated electron problems in infinite dimensions

The Hubbard model is the simplest lattice model of interacting electrons. The characteristic local quantum dynamics described by this model is retained even in the limit of infinite spatial dimensions, thus providing a "dynamical mean-field theory" (DMFT) of correlated electrons. In my talk I will sketch the scientific developments in the early 1960s which led to the formulation of the Hubbard model and, 25 years later, to its investigation in infinite dimensions. Then I discuss applications of DMFT to demonstrate some of the insights into the properties of correlated electrons in models and materials obtained by the DMFT community over the last three decades.