The GEMOC initiative is supported by different projects that explore several dimensions of tools and methods in software language engineering (SLE) related to the globalization of modeling languages: the CNRS GDR GPL AS GEMOC (2011), the CNRS PICS Project MBSAR (2013-2015), the ANR INS Project GEMOC (2012-2016), the Inria/CWI team ALE (2017-2019) and the Safran/Inria bilateral collaboration GLOSE (2017-2020).