Quenched invariance principle for random walks among time-dependent degenerate conductances

I will present a quenched invariance principle for the dynamic random conductance model, that is a continuous time random walk on $\mathbb{Z}^d$ in an environment of time-dependent random conductances. The law of the conductances is assumed to be stationary and ergodic with respect to space-time shifts and satisfy some integrability conditions. In particular, I will discuss and compare different technique that allows to derive a maximal inequality for the corrector.