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Roman Catholic AnswerThe last Ecumenical Council of the Church was Vatican Council II, held in the early 1960's at the Vatican. For a list list of all 21 Ecumenical Councils see the link below.
'The Trinity' (Study for The Ecumenical Council). 1960. Oil on canvas. 58.4 x 66 cm. Vatican Gallery
In Vatican City, thus the name Vatican Council II.
This council is generally called the Second Vatican Council or simply Vatican II. It is a council that was held for Roman Catholics, but it is not accepted or recognized by the Eastern Orthodox Church.
Most receive their name from the location where the council is held, such as the council of Trent, Vatican Council, etc.
Vatican Council
The Second Vatican Council opened under Pope John XXIII on 11 October 1962 and closed under Pope Paul VI on 8 December 1965. As the name implies, it was convened in the Vatican.
The last church council was Vatican II, convened (called together) by Pope John XXIII, and held on October 11, 1962.
The corporate name, declared at the First Vatican Council (1870), is the Holy, Catholic, Apostolic Roman Church.
Catholic AnswerThe 19th Ecumenical Council of the Church, commonly referred to as The Council of Trent was summoned for the purposes of 1) reforming the Church, and 2) combating protestantism. The nineteenth ecumenical council opened at Trent on 13 December, 1545, and closed there on 4 December, 1563. Its main object was the definitive determination of the doctrines of the Church in answer to the heresies of the Protestants; a further object was the execution of a thorough reform of the inner life of the Church by removing the numerous abuses that had developed in it. The Council of Trent was called by Paul III who was pope from 1534 to 1549 and it first sat in December 1545.
The Council of Trent was an ecumenical council convened by the Roman Catholic Church in Trento, the principle city of the Bishopric of Trent, now a part of modern Italy, thus its name. The council had 25 sessions from Dec. 13, 1545 to Dec. 4, 1563. The first 8 session were held in Trent, the next three in Bologna, and the last 14 back in Trent.
I believe Vatican City is still Vatican City.