Complex sentence: All of these centers are overseen by the Society's headquarters in New York, which includes a museum that exhibits the Rockefeller collection of Asian art and rotating exhibits with pieces from many Asian countries including China, Japan, India, and Korea.
Split into simpler sentences: All of these centers are overseen by the Society's headquarters in New York. The New York headquarters includes a museum that exhibits the Rockefeller collection of Asian art and rotating exhibits with pieces from many Asian countries including China, Japan, India, and Korea.