On 4 June 2016, Jürgen Osterhammel of the University of Konstanz and Geoffrey Parker of Ohio State University gave an all-day workshop on global history for graduate students and junior and senior scholars of the Universities of Dundee and St. Andrews in Scotland. The workshop consisted of three discussion sessions, each with a different theme, namely the conceptualization(s), parameters, and possible future(s) of global history. The central question was to what extent this fast-changing field required adjustments of “normal” historiographical methodologies and epistemologies. The workshop participants agreed that global history focuses in particular on connections across large spaces or long timespans, or both. Yet reconstructing these webs of connections should not obscure global inequalities. In the case of empires, many of the exchanges across space and time have been ordered in a hierarchical fashion—metropoles profiting from peripheral spaces, for example—and imposed by certain groups of people on others, resulting in, for example, the enslavement or extermination of indigenous peoples. As historians, we should also ask ourselves what we do about peoples or areas that were or remain unconnected, local, and remote. Where does globalization end?