Give examples of the migration of people in different eras.

Antiquity – the great Greek colonization (the Mediterranean and Black Sea coast) and the great migration of peoples, which led to the fall of the Western Roman Empire in 476.
Middle Ages – Turkish invasion of Byzantium (XI century), Crusades and the emergence of the state of the Crusaders in the Middle East.
New time – the colonization of the Western Hemisphere by Europeans and the emergence of independent states there from the end of the 18th century – the USA and Haiti, and in the 19th century all Portuguese and Spanish colonies gained independence.
In addition, Europeans moved to South Africa, Australia, New Zealand.
From the second half of the 19th century, the migration of Chinese and Hindus began within the British Empire. For example, Fiji and South Africa.
In Russia, an example of migration is the development of Siberia in the 17th-19th centuries, the development of virgin lands in the 1950s-1960s.