The GEAR network links several different research communities, loosely described by the daily themes of the GEAR Retreat. Each community has its own perspective and set of tools but they all share common interests centered on geometric structures and representation varieties. A main goal of the network is to enhance our collective understanding by facilitating cross-pollination of ideas among the different network areas. Where do you see the most pressing need, or the greatest opportunities for this kind of interaction. In other words, what should be on the mathematical agenda of the network for the next two years?