This report is intended to provide a foundation to debates which illustrate how geographers have approached the challenge of understanding something variously invisible and immaterial as the digital and its impacts on the production of space. Thus, this first report will focus on how geographers conceptualise digitally produced and mediated spaces. It will trace the way we have understood digital spaces from grappling with the dichotomies of online and offline, real and the virtual, to grounding them materially, rendering them visible, and to more recent shifts about their affective orientations.