In late 1814 and early 1815, Napoleon's career was coming to an end, and Europe had suffered twenty-five years of nearly continuous chaos and bloodshed: first, the ten years of the French Revolution (1789 - 1799), and then Napoleon's dictatorship. France had conducted wars against, or involving, nearly all of Europe. The misery was wide-spread.
The leaders of European nations gathered at the Congress of Vienna to answer the question, how can we keep Europe safe and peaceful. The conference was organized and lead by Metternich. The starting point for discussion was the Treaty of Paris, first signed in 1814; during the conference, Napoleon attempted his comeback, and when that failed, a second Treaty of Paris was issued in 1815. The Bourbon absolutist monarchy was reinstated, and France lost the territory which had stolen from other nations after 1789.
It was clear that Europe would assume a new shape on the map, and a new political tone, especially because Napoleon had also officially ended the Holy Roman Empire. The Congress of Vienna wanted to ensure that Europe's new layout would lead to peace and stability.
The official dates of the conference were from November 1, 1814 until June 8, 1815.
England was represented by Castlereagh and Wellington; Napoleon gave England two of its greatest heros, Wellington and Nelson, and Wellington also was immortalized in the famous beef recipe. Wellington's real name was Arthur Wellesley, but he was called Wellington because he was the Duke of Wellington.
Metternich represented Austria, and Prussia was represented by Hardenberg and Humboldt. Alexander I represented Russia. Talleyrand represented France, and almost single-handedly saved his country, because the other nations wanted to punish it for the twenty-five years of butchery it caused. Talleyrand persuaded the other leaders that they would have nothing to gain by devastating France, but that if they left the country intact, it would benefit all of Europe.