Montserrat Corbera has presented the oral communication “ The set of convex central configurations of the 4-body problem” at the conference  “HAMSYS2018” held at the Centre de Recerca Matemàtica (CRM) in Bellaterra  (Spain)  from September 3 to 7.  This conference is part of the Follow Up of the Research Program “Central configurations, periodic orbits and beyond in celestial mechanics” held in the CRM in 2014. It has been organized byMontserrat Corbera of the  research group MECAMAT of  the Universitat de Vic-Universitat Central de Catalunya (UVic-UCC), Josep M. Cors of the Universitat Politècnica de Catalunaya (UPC) and Jaume Llibre of the Univesitat Autònoma de Barcelona (UAB).  The aim of the conference has been the presentation of the new results of  top researches working in the fields of Celestial Mechanics, Hamiltonian systems and related topics.