The Trojan War is thought to have taken place near the end of the Bronze Age, around or before 1200 B.C. At that time, a Greek civilization we call the Mycenaean was collapsing. The Mycenaens built great palaces and developed a system of writing, and their culture dominated the Greek world for about 300 years before their decline. In the “Iliad,” the Greek forces are led by Agamemnon, the king of Mycenae.