Information about the War of the Magi has really kicked up with 2.2, which brings me to an interesting thought.

Scholars have Nym.
White Mages have Amdapor.

What do Black Mages have? And where would it be located? Was this ever mentioned within dialog somewhere or just vaguely hinted at like much of this particular Era?

My guess? The black mage city would've been located in Thanalan, possibly Eastern because it's the closest location to Amdapor.