Rudolf Nureyev was born on a Trans-Siberian train near Irkutsk, Siberia, Soviet Union, while his mother, Feride, was travelling to Vladivostok, where his father Hamit, a Red Army political commissar, was stationed. He was raised as the only son with three older sisters in a Tatar Muslim family. When his mother took Rudolf Nureyev and his sisters into a performance of the ballet Song of the Cranes, he fell in love with dance. As a child he was encouraged to dance in Bashkir folk performances and his precocity was soon noticed by teachers who encouraged him to train in Saint Petersburg.

When AIDS appeared in France's news around 1982, Nureyev took little notice. The dancer tested positive for HIV in 1984, but for several years he simply denied that anything was wrong with his health. However, by the late 1980s his diminished capabilities disappointed his admirers who had fond memories of his outstanding prowess and skill. Nureyev began a marked decline only in the summer of 1991 and entered the final phase of the disease in the spring of 1992.  In March 1992, living with advanced AIDS, he visited Kazan and appeared as a conductor in front of the audience at Musa Calil Tatar Academic Opera and Ballet Theater, which now presents the Rudolf Nureyev Festival in Tatarstan. Returning to Paris, with a high fever, he was admitted to the hospital Notre Dame du Perpetuel Secours in Levallois-Perret, a suburb northwest of Paris, and was operated on for pericarditis, an inflammation of the membranous sac around the heart. At that time, what inspired him to fight his illness was the hope that he could fulfill an invitation to conduct Prokofiev's Romeo and Juliet at an American Ballet Theatre benefit on 6 May 1992 at the Metropolitan Opera House in New York. He did so and was elated at the reception.  In July 1992, Nureyev showed renewed signs of pericarditis but determined to forswear further treatment. His last public appearance was on 8 October 1992, at the premiere at Palais Garnier of a new production of La Bayadere that he choreographed after Marius Petipa for the Paris Opera Ballet. Nureyev had managed to obtain a photocopy of the original score by Minkus when in Russia in 1989. The ballet was a personal triumph although the gravity of his condition was evident. The French Culture Minister, Jack Lang, presented him that evening on stage with France's highest cultural award, the Commandeur de l'Ordre des Arts et des Lettres.

Answer the following question by taking a quote from the article: What did Nureyev do in his final years?
The dancer tested positive for HIV in 1984, but for several years he simply denied that anything was wrong with his health.