Complex sentence: Both young composers hoped to study with Bartok in Budapest in 1945, but Bartók died in America and Kurtág went on to study piano, composition and chamber music with other teachers at the Budapest Academy.
Split into simpler sentences: Both young composers hoped to study with Bartok in Budapest in 1945. But Bartók died in America, and Kurtág went on to study piano, composition and chamber music with other teachers at the Budapest Academy.