The national school closures have focused minds on what the universities are to do. As of 5pm Saturday, some universities have made official announcements, some have not. So far as I know, the position is this:
Trinity: All exams in this coming week are expected to proceed as scheduled: see official announcement.
UCD: Belfield and Blackrock campuses closed until Tuesday: see official announcement.
UCC: No announcement: presumably all open as usual: see discussion thread.
NUI Maynooth: Monday’s exams are postponed to Friday 22nd, but otherwise everything is as normal: see official announcement.
DCU: No announcement: presumably all open as usual: see discussion thread.
NUI Galway: No announcement: presumably all open as usual: see discussion thread.
U Limerick: No announcement: presumably all open as usual.