When you talk about what you see on the Mac, are you talking about a folder in the Finder (file manager), an album in the old iPhotos app, or a folder/album in the new Photos app for the Mac?
If it's a folder in the Finder, then the album will be synced in iTunes, by selecting that folder.
If it's an album in iPhoto, then it's synced in iTunes by selecting iPhotos.
If it's ah album in the new Photos app on the Mac, then it is also synced in iTunes (not tested), or if you also have iCloud Photo Library turned on then it is synced directly through iCloud.
The old iPhotos app created Events whenever you imported new photos. You could also create your own Events by moving or combining photos from other places. When the Photos app is installed it converts the old iPhoto library to be compatible. Since it no longer supports Events, all the events were converted to a series of sub-ablums in a folder.
Personally I deleted this album quite a while ago. The main photo view provides much the same kind of collection vs time vs location utility; and the Events album lost almost all the extra features it had in iPhotos.
Deleting albums does not delete the actual photos. They will still exist in the main library view.