Jerusalem is Israel's declared capital and seat of government (Knesset, Supreme Court, Prime Minister's Office). Population ~1 million (metro).
Palestinians claim East Jerusalem (captured 1967) as capital of a future state. International consensus (UN, most countries) holds that Jerusalem's final status requires negotiation; embassies remain in Tel Aviv. US recognized Jerusalem as Israel's capital (2017) and moved its embassy (2018)—a minority position.
Judaism: Temple Mount (Western Wall), City of David. Christianity: Church of the Holy Sepulchre (crucifixion/resurrection), Via Dolorosa. Islam: Al-Aqsa Mosque, Dome of the Rock (Muhammad's Night Journey).
Jerusalem is a city where theology, demography, archaeology, and geopolitics occupy the same stones.