We present an approach to represent and analyze age-related differences in cortical morphology and Aβ uptake based on connectome topography. Studying healthy individuals, we observed age-related reductions in neocortical thickness and atrophy across posterior hippocampal subfields. Additionally, we observed an interplay between aging effects and functional topography in both neocortical and hippocampal regions, with age-related thinning stronger towards unimodal regions and Aβ deposition increasing towards transmodal regions. Similarly, an inverted pattern of volume loss and Aβ deposition was observed along the hippocampal long-axis. Finally, imaging markers were found to predict cognitive performance in a topography-specific manner.