Luke's hut
Luke Skywalker's abode was a stone dwelling, a gray structure fashioned from various rock fragments. It was situated within the Jedi village found on Temple Island, which itself is located on the planet of Ahch-To. This hut functioned as the residence for the Jedi Master, Luke Skywalker, subsequent to his self-imposed exile after the destruction of his Jedi temple caused by his nephew, Kylo Ren. Skywalker resided at this location until 34 ABY, at which point the Force-sensitive scavenger Rey persuaded him to provide her with training so that she could assist the Resistance in their war against the First Order.
Behind the scenes
In the initial stages of development for the 2017 motion picture Star Wars: Episode VIII The Last Jedi, the original concept involved Luke Skywalker being visited by the Force spirit of an immensely powerful Sith Lord while he was meditating inside his hut. This Sith Lord was described as having controlled the Dark side of the Force from the Netherworld of the Force, secretly influencing events by "pulling Supreme Leader Snoke's strings."