Short answers, pulled from the story.
Fontainebleau is a commune in the metropolitan area of Paris, France, located 55.5 kilometres south-southeast of the city centre. It is the largest commune by land area in the Ile-de-France region, covering more ground than Paris itself.
The Edict of Fontainebleau was signed by Louis XIV on the 18th of October 1685. Also known as the Revocation of the Edict of Nantes, it withdrew the right of Huguenots to worship publicly and stripped them of other privileges, forcing many to convert to Catholicism, die, or flee to the Low Countries, Prussia, and England.
On the 20th of April 1814, Napoleon said farewell to the Old Guard in the White Horse Courtyard at the Palace of Fontainebleau, now known as the Courtyard of Goodbyes. The 1814 Treaty of Fontainebleau, signed that same period, stripped Napoleon of his powers and sent him into exile on Elba.
The Forest of Fontainebleau is the largest developed bouldering area in the world. It is managed by France's Office National des Forets and recognised as a French national park, drawing climbers, hikers, and horse riders from across Europe.
According to the official chateau history, Fontainebleau took its name in the sixteenth century from the Fontaine Belle-Eau, a natural freshwater spring meaning "Spring of beautiful water". Earlier forms of the name appear in twelfth and thirteenth century documents as Fons Bleaudi and related Latin variants, with the earliest recorded form, Fontem blahaud, dating to 1137.
Each year, around 300,000 people visit the Palace of Fontainebleau and more than 13 million visit the Forest of Fontainebleau. The urban area of Fontainebleau, including the neighbouring commune of Avon and three smaller communes, had a population of 36,724 inhabitants as of 2018.