A conversation with Diana Mishkova (Center for Advanced Study, Sofia) about how the national historiographies of Turkey, Greece, Bulgaria, Serbia, and Romania cope with Byzantium -- how they try to appropriate, incorporate, circumvent, or abjure it, and so always reinvent it in the process. The conversation is based on Diana's comprehensive and lucid analysis in her recent book Rival Byzantiums: Empire and Identity in Southeastern Europe (Cambridge University Press 2023).