The phenomenon of glacial isostatic adjustment (GIA), with its unique temporal signatures, is one of the great opportunities in geosciences to obtain information about Earth processes.The contribution of GIA to secular trends in geodetic observables like sea-level demands its consideration when investigating processes like climate change. In order to give specific corrections for related disciplines, GIA presently focusses on regional process modeling with high-resolution earth models, which account for small-scale aspects of tectonics and climate forcing. The main challenge is therefore the modelling of dynamics and rheology of the lithosphere and asthenosphere, incorporating laterally heterogeneous structure. At the same time, the models need to be consistent with global aspects of GIA and geodetic observables, like satellite gravity, surface deformation and sea-level change. The dynamical or parameterized coupling of GIA with surface processes like glacier dynamics, ice sheets and ocean loading is a prerequisite in understanding earth system processes. As invited speakers we could win Patrick Wu (Univ. Calgary) emphasising the link between GIA and the thermal structure of the mantle and Paolo Stocchi (TU Delft) presenting the relation between GIA and ice dynamics. This session is a venue to present recent results of the Dynamics of Quaternary Climate (DynaQlim) project and of COST Action ES0701 Improved Constraints on Models of GIA.