All of Delta's dispatchers are at the OCC (Operations Control Center) in Atlanta.
The Delta OCC is a room that absoutely puts mission control at NASA to shame. It's a dark room with gigantic monitors, meteorologists, live cameras, news feeds, interactive weather charts, satellite imagery, flight tracking computers and all sorts of stuff. There is also a maintenance "go team" of sorts when you contact flight control with a maintenance issue, you've got a bevvy of specialists to work out the problem.
It's really an impresive set up.