This editorial sketches some general ideas and issues in the field of speech act syntax, and it highlights the development of the so-called cartographic approach to syntax in that domain. Given the recent focus of encoding speaker, addressee, and further speech act categories in the left periphery of the clause, the editorial points out the relevance of the contributions to this Virtual Special Issue. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.