I was just watching a video that mentions Alexander the Great at the edges of his empire, but then I was wondering who was governing back home while he was gone, I mean it took forever to travel back then so, there must have been someone or a body governing.
Alexander left Antipater in charge in Macedonia/Greece while he was off conquering. Antipater had previously served Alexander's father, Phillip II, and had also previously served as regent for Alexander when he was fighting in Thrace, prior to the invasion of the Persian empire.
I believe Antipater also governed Greece after Alexander's death and subsequent Wars of the Diadochi.
I believe Alexander The Great's Central/Administrative Government was located in the Egyptian city of Memphis. The city of Alexandria-(in Northern Egypt), was akin to a royal figurehead city which was more ceremonial in nature versus the more pragmatic-(day to day) bureaucratically administered city of Memphis.
(After Alexander's passing, the city of Alexandria would become the Capital of Ptolemaic Egypt, as well the Hellenistic era's most important city).
Interestingly, Alexander did not choose any city within Greece or Anatolia-(present-day Turkey) to serve as either the Ceremonial or Administrative Capital of his expansive empire; nor did Alexander choose to establish his Capital city in the defeated imperial city of Persepolis in Persia-(present-day Iran). Yet, the land of Egypt-(more specifically, the cities of Alexandria and Memphis), would become the epicenters of imperial power during his brief reign.