Background: The 14th Dalai Lama (religious name: Tenzin Gyatso, shortened from Jetsun Jamphel Ngawang Lobsang Yeshe Tenzin Gyatso; born Lhamo Thondup, 6 July 1935) is the current Dalai Lama. Dalai Lamas are important monks of the Gelug school, the newest school of Tibetan Buddhism which was formally headed by the Ganden Tripas. From the time of the 5th Dalai Lama to 1959, the central government of Tibet, the Ganden Phodrang, invested the position of Dalai Lama with temporal duties. The 14th Dalai Lama was born in Taktser village, Amdo, Tibet and was selected as the tulku of the 13th Dalai Lama in 1937 and formally recognized as the 14th Dalai Lama at a public declaration near the town of Bumchen in 1939.
Context: At the outset of the 1959 Tibetan uprising, fearing for his life, the Dalai Lama and his retinue fled Tibet with the help of the CIA's Special Activities Division, crossing into India on 30 March 1959, reaching Tezpur in Assam on 18 April. Some time later he set up the Government of Tibet in Exile in Dharamshala, India, which is often referred to as "Little Lhasa". After the founding of the government in exile he re-established the approximately 80,000 Tibetan refugees who followed him into exile in agricultural settlements. He created a Tibetan educational system in order to teach the Tibetan children the language, history, religion, and culture. The Tibetan Institute of Performing Arts was established in 1959 and the Central Institute of Higher Tibetan Studies became the primary university for Tibetans in India in 1967. He supported the refounding of 200 monasteries and nunneries in an attempt to preserve Tibetan Buddhist teachings and the Tibetan way of life.  The Dalai Lama appealed to the United Nations on the rights of Tibetans. This appeal resulted in three resolutions adopted by the General Assembly in 1959, 1961, and 1965, all before the People's Republic was allowed representation at the United Nations. The resolutions called on China to respect the human rights of Tibetans. In 1963, he promulgated a democratic constitution which is based upon the Universal Declaration of Human Rights, creating an elected parliament and an administration to champion his cause. In 1970, he opened the Library of Tibetan Works and Archives in Dharamshala which houses over 80,000 manuscripts and important knowledge resources related to Tibetan history, politics and culture. It is considered one of the most important institutions for Tibetology in the world.  In 2016, there were demands from Indian politicians of different political parties and citizens to confer His Holiness The Dalai Lama the prestigious Bharat Ratna, the highest civilian honour of India which has only been awarded to a Non-Indian citizen twice in its history.
Question: Does the Dalai Lama still live in India?

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