Abstract The papers in this collection all deal with the concept of locality in syntactic theory and more specifically relate to the various contributions Luigi Rizzi has made in this connection over the past three and a half decades. The authors are all either former students of Rizzi’s or colleagues and friends who have collaborated with him closely over the years. Luigi’s influence on all our work, and on the development of syntactic theory as a whole, has been profound; this volume is a small attempt to recognise and show our gratitude for that influence.