In this Progress in Human Geography annual lecture I reflect on geographical contributions to academic and policy debates about how we might forge civic culture out of difference. In doing so I begin by tracing a set of disparate geographical writings — about the micro-publics of everyday life, cosmopolitanism hospitality, and new urban citizenship — that have sought to understand the role of shared space in providing the opportunity for encounter between `strangers'. This literature is considered in the light of an older tradition of work about `the contact hypothesis' from psychology. Then, employing original empirical material, I critically reflect on the notion of `meaningful contact' to explore the paradoxical gap that emerges in geographies of encounter between values and practices. In the conclusion I argue for the need for geographers to pay more attention to sociospatial inequalities and the insecurities they breed, and to unpacking the complex and intersecting ways in which power operates.