[ That ship may or may not be the Titanic, it's hard to tell at this point. Mostly because Altliv has an ex-boyfriend/fiance. ]

Ding ding ding! Points for the new kid for paying attention. And yeah, Broyles is our boss. Colonel Broyles, to be exact. Over there they work for Broyles as well but he's not a colonel. Basically, Olivia got put on a Fringe case that they didn't realize was a Fringe case. She ended up getting Walter out of the institute, they re-opened his lab in Harvard, solved the case, and Broyles was impressed with her work. So he recruited both of them into Fringe Division and Astrid joined them there.

[ Glossing over some finer details (like the flesh rotting disease and John Scott), but whatever, that's the gist of it. ]