Quenched invariance principle for the Random Conductance Model in a degenerate dynamic environment

In this talk we present a quenched invariance principle for the dynamic random conductance model, that is we consider a continuous time random walk on the integer lattice in an environment of time-dependent random conductances. We assume that the conductances are stationary ergodic with respect to space-time shifts and satisfy some moment condition. One key result in the proof is a maximal inequality for the corrector function, which is obtained by a Moser iteration. This is joint work in progress with A. Chiarini, J.-D. Deuschel and M. Slowik.