The name of these people was applied in the 20th century to the inhabitants of the (*) Tarim Basin, whose ethnic conflict with the Han has dominated Xinjiang province.
These people's state collapsed after their ruler, a minister named Kürebir, was captured by the Kyrgyz. After meeting with Sogdian missionaries, the khagan of these people declared Manichaeism the state religion. The Tang dynasty allied with the khaganate named for these people against the Tibetan Empire. The name of these people was applied in the 20th century to the inhabitants of the (*) Tarim Basin, whose ethnic conflict with the Han has dominated Xinjiang province. For 10 points, identify these Turkic inhabitants of Western China.
These people's state collapsed after their ruler, a minister named Kürebir, was captured by the Kyrgyz.
Uyghurs [prompt on Turks]