Usually an "Academie" is an administrative umbrella for several universities: the "Academie de Paris", for example, includes at least 10 "Facultés", which are more or less independent universities on different campuses, usually with a focus on a particular discipline (like a university-sized version of our "Faculties").

This seems to be a slightly different sense, but it does look like this is a central administrative unit for tertiary enrolment and results over several regions (ie Paris, Creteil and Versailles). The central administrative unit in a university, for pretty much everything (including enrolment and results) is usually called the Registrar, but you could use either Registrar or Central Administration, and perhaps just
"Enrolments" for the "Academie d'Inscription".